Exercises
2–1(指教材上的第2章练习第1题,下同)
1.
Steel*
Setup cost**
*($1.00 12; $1.00 18) **($60,000/10,000)
Part #72A $ 12.00 6.00 Total $ Part #172C $ 18.00 6.00 18.00 $ 24.00
Steel cost is assigned by calculating a cost per ounce and then multiplying this by the ounces used by each part:
Cost per ounce = $3,000,000/3,000,000 ounces
= $1.00 per ounce
Setup cost is assigned by calculating the cost per setup and then dividing this by the number of units in each batch (there are 20 setups per year):
Cost per setup = $1,200,000/20 = $60,000
2. The cost of steel is assigned through the driver tracing using the
number of ounces of steel, and the cost of the setups is assigned through driver tracing also using number of setups as the driver.
3. The assumption underlying number of setups as the driver is that
each part uses an equal amount of setup time. Since Part #72A uses double the setup time of Part #172C, it makes sense to assign setup costs based on setup time instead of number of setups. This illustrates the importance of identifying drivers that reflect the true underlying consumption pattern. Using setup hours [(40 10) + (20 10)], we get the following rate per hour:
Cost per setup hour = $1,200,000/600 = $2,000 per hour
The cost per unit is obtained by dividing each part’s total setup costs
by the number of units:
1
Part #72A = ($2,000 400)/100,000 = $8.00 Part #172C = ($2,000 200)/100,000 = $4.00
Thus, Part #72A has its unit cost increased by $2.00, while Part #172C has its unit cost decreased by $2.00.
problems
2–5
1. Nursing hours required per year: 4 24 hours 3 days* = 34,944
*Note: 3 days = 7 days 52 weeks
Number of nurses = 34,944 hrs./2,000 hrs. per nurse = 17.472 Annual nursing cost = (17 $45,000) + $22,500 = $787,500
Cost per patient day = $787,500/10,000 days = $78.75 per day (for either type of patient)
2. Nursing hours act as the driver. If intensive care uses half of the
hours and normal care the other half, then 50 percent of the cost is assigned to each patient category. Thus, the cost per patient day by patient category is as follows:
Intensive care = $393,750*/2,000 days = $196.88 per day Normal care
= $393,750/8,000 days = $49.22 per day
*$525,000/2 = $262,500
The cost assignment reflects the actual usage of the nursing resource and, thus, should be more accurate. Patient days would be accurate only if intensive care patients used the same nursing hours per day as normal care patients.
3. The salary of the nurse assigned only to intensive care is a directly
traceable cost. To assign the other nursing costs, the hours of additional usage would need to be measured. Thus, both direct tracing and driver tracing would be used to assign nursing costs for this new setting.
2–6
2
1.
Services Sold
Bella Obra Company Statement of Cost
of
For the Year Ended June 30, 2006
Beginning $ 300,000 Add: Purchases Materials available
Direct materials:
.............................................................................. inventory .............................................................. .............................................................................. .............................................................................. 600,$ 900,
.............................................................................. Less: Ending inventory .............................................................. 450,000* Direct materials used .......................................... Direct labor .......................................................... Overhead .............................................................. Total service costs added .................................. Add: Beginning work in process ....................... Total production costs ........................................ Less: Ending work in process ...........................
Cost of services sold ..........................................
*Materials available less materials used
2. The dominant cost is direct labor (presumably the salaries of the 100
professionals). Although labor is the major cost of providing many services, it is not always the case. For example, the dominant cost for some medical services may be overhead (e.g., CAT scans). In some services, the dominant cost may be materials (e.g., funeral services).
3
$
450,000
12,000,0 1,500,00$ 13,950,0 900,000$ 14,850,0 1,500,00$ 13,350,0
3.
Bella Obra Company Income Statement
For the Year Ended June 30, 2006
Sales ..................................................................... Cost of services sold .......................................... Gross margin ....................................................... $ 21,000,0 13,350,0$ 7,650,00
Less operating expenses:
.............................................................................. Selling expenses
.............................................................................. Administrative
expenses .............................................................. ................................................................. 750,000 .............................................................. 1,650,000 Income before income taxes ..............................
4. Services have four attributes that are not possessed by tangible
products: (1) intangibility, (2) perishability, (3) inseparability, and (4) heterogeneity. Intangibility means that the buyers of services cannot see, feel, hear, or taste a service before it is bought. Perishability means that services cannot be stored. This property affects the computation in Requirement 1. Inability to store services means that there will never be any finished goods inventories, thus making the cost of services produced equivalent to cost of services sold. Inseparability simply means that providers and buyers of services must be in direct contact for an exchange to take place. Heterogeneity refers to the greater chance for variation in the performance of services than in the production of tangible products.
2–7
1. Direct materials:
Magazine (5,000 $0.40) $ 2,000 Brochure (10,000 $0.08) 800 $ 2,800
Direct labor:
Magazine [(5,000/20) $10] $ 2,500 Brochure [(10,000/100) $10] 1,000 3,500
Manufacturing overhead: Rent
$ 1,400
Depreciation [($40,000/20,000) 350*] 700 Setups 600 Insurance 140 Power
350 3,190
Cost of goods manufactured
$ 9,490
4
$ 900,
$ 6,000,00
*Production is 20 units per printing hour for magazines and 100 units per printing hour for brochures, yielding monthly machine hours of 350 [(5,000/20) + (10,000/100)]. This is also monthly labor hours, as machine labor only operates the presses. Direct materials Direct labor
Total prime costs Magazine:
Direct materials Direct labor Total prime costs Brochure:
Direct materials Direct labor Total prime costs
$ 2,800
3,500 $ 6,300 $ 2,000 2,500 $ 4,500 $ 800 1,000 $ 1,800 2.
Direct tracing was used to assign prime costs to the two products.
3. Total monthly conversion cost:
Direct labor Overhead Total $ 3,500
3,190 $ 6,690 $ 250 500 400 1,100
$ 100 200 200 440
$ 2,500
Magazine:
Direct labor Overhead: Power ($1 250) Depreciation ($2 250) Setups (2/3 $600) Rent and insurance ($4.40 250 DLH)* Total Brochure:
Direct labor Overhead: Power ($1 100) Depreciation ($2 100) Setups (1/3 $600) Rent and insurance ($4.40 100 DLH)* Total
2,250 $ 4,750 $ 1,000
940 $ 1,940
*Rent and insurance cannot be traced to each product so the costs are assigned using direct labor hours: $1,0/350 DLH = $4.40 per direct labor hour. The other overhead costs are traced according to
5
their usage. Depreciation and power are assigned by using machine hours (250 for magazines and 100 for brochures): $350/350 = $1.00 per machine hour for power and $40,000/20,000 = $2.00 per machine hour for depreciation. Setups are assigned according to the time required. Since magazines use twice as much time, they receive twice the cost: Letting X = the proportion of setup time used for brochures, 2X + X = 1 implies a cost assignment ratio of 2/3 for magazines and 1/3 for brochures.
Exercises
3–1
1.
Resource Plastic1
Direct labor and variable overhead2 Mold sets3
Other facility costs4 Total
1
Total Cost $ 10,800 8,000 20,000 10,000 $ 48,800 Unit Cost $0.027 0.020 0.050 0.025 $0.122
0.90 $0.03 400,000 = $10,800; $10,800/400,000 = $0.027 2
$0.02 400,000 = $8,000; $8,000/400,000 = $0.02 3
$5,000 4 quarters = $20,000; $20,000/400,000 = $0.05 4
$10,000; $10,000/400,000 = $0.025
2. Plastic, direct labor, and variable overhead are flexible resources; molds and other facility costs are committed resources. The cost of plastic, direct labor, and variable overhead are strictly variable. The cost of the molds is fixed for the particular action figure being produced; it is a step cost for the production of action figures in general. Other facility costs are strictly fixed.
3–3
High (1,400, $7,950); Low (700, $5,150) V = ($7,950 – $5,150)/(1,400 – 700)
6
= $2,800/700 = $4 per oil change
F = $5,150 – $4(700)
= $5,150 – $2,800 = $2,350 Cost = $2,350 + $4 (oil changes)
Predicted cost for January = $2,350 + $4(1,000) = $6,350
problems
3–6
1. High (1,700, $21,000); Low (700, $15,000)
V = (Y2 – Y1)/(X2 – X1)
= ($21,000 – $15,000)/(1,700 – 700) = $6 per receiving order F = Y2 – VX2
= $21,000 – ($6)(1,700) = $10,800
Y = $10,800 + $6X
2. Output of spreadsheet regression routine with number of receiving
orders as the independent variable:
Constant Std. Err. of Y Est. R Squared No. Observations Degrees Freedom X Coefficient(s) Std. Err. of Coef.
of of 13.3766233766234 3.59557461331427 4512.98701298698 3456.24317476605 10 8 0.633710482694768
V = $13.38 per receiving order (rounded) F = $4,513 (rounded) Y = $4,513 + $13.38X R2 = 0.634, or 63.4%
Receiving orders explain about 63.4 percent of the variability in receiving cost, providing evidence that Tracy’s choice of a cost driver is reasonable. However, other drivers may need to be
7
considered because 63.4 percent may not be strong enough to justify the use of only receiving orders.
3. Regression with pounds of material as the independent variable:
Constant Std. Err. of Y Est. R Squared No. Observations Degrees Freedom X Coefficient(s) Std. Err. of Coef.
of of 5632.28109733183 2390.10628259277 10 8 0.8248337433823 0.04492991356633 0.00732590055344
V = $0.045 per pound of material delivered (rounded) F = $5,632 (rounded) Y = $5,632 + $0.045X R2 = 0.825, or 82.5%
Pounds of material delivered explains about 82.5 percent of the variability in receiving cost. This is a better result than that of the receiving orders and should convince Tracy to try multiple regression.
4. Regression routine with pounds of material and number of receiving orders as the independent variables:
Constant Std. Err. of Y Est. R Squared No. Observations Degrees Freedom X Coefficient(s) Std. Err. of Coef.
of of 752.104072925631 1350.46286973443 10 7 0.951068418023306 0.0333883151096915 0.00495524841198368 7.14702865269395 1.68182916088492
V1 = $0.033 per pound of material delivered (rounded)
8
V2 = $7.147 per receiving order (rounded) F = $752 (rounded)
Y = $752 + $0.033a + $7.147b R2 = 0.95, or 95%
Multiple regression with both variables explains 95 percent of the variability in receiving cost. This is the best result.
5–2
1. 2. 3. 4.
Job #57 Job #58 Balance, 7/1 $ 22,450 $ 0 Direct materials 12,900 9,900 Direct labor 20,000 6,500 Applied overhead: Power 750 600 Material handling 1,500 300 Purchasing 250 1,000 Total cost $ 57,850 $ 18,300 Ending balance in Work in Process = Job #58 = $18,300 Ending balance in Finished Goods = Job #59 = $58,200 Cost of Goods Sold = Job #57 = $57,850
Job #59 $ 0 35,350 13,000 3,600 6,000 250 $ 58,200 problems
5–3
1. Overhead rate = $180/$900 = 0.20 or 20% of direct labor dollars. (This rate was calculated using information from the Ladan job;
however, the Myron and Coe jobs would give the same answer.) 2. Ladan Myron Coe Walker Willis Beginning WIP $ 1,730 $1,180 $2,500 $ 0 $ 0 Direct materials 400 150 260 800 760 Direct labor 800 900 650 350 900 Applied overhead 160 180 130 70 180 Total $ 3,090 $2,410 $3,0 $ 1,220 $ 1,840
Note: This is just one way of setting up the job-order cost sheets.
You might prefer to keep the detail on the materials, labor, and overhead in beginning inventory costs.
9
3. Since the Ladan and Myron jobs were completed, the others must
still be in process. Therefore, the ending balance in Work in Process is the sum of the costs of the Coe, Walker, and Willis jobs.
Coe Walker Willis
Ending Work in Process $3,0 1,220 1,840 $6,600
Cost of Goods Sold = Ladan job + Myron job = $3,090 + $2,410 = $5,500
Naman Company Income Statement
For the Month Ended June 30, 20XX
$8,250 5,500 $2,750 1,200 $1,550 4.
Sales (1.5 $5,500) ................................................................... Cost of goods sold ................................................................... Gross margin ............................................................................ Marketing and administrative expenses ................................ Operating income .....................................................................
5–20
1. 2. 3.
Overhead rate = $470,000/50,000 = $9.40 per MHr
Department A: $250,000/40,000 = $6.25 per MHr Department B: $220,000/10,000 = $22.00 per MHr Job #73 Plantwide:
70 $9.40 = $658
Job #74
70 $9.40 = $658 50 $6.25 20 $22
$ 312.50 440.00 $ 752.50
Departmental:
20 $6.25 $ 125.00 50 $22 1,100.00 $ 1,225.00
Department B appears to be more overhead intensive, so jobs spending more time in Department B ought to receive more overhead. Thus, departmental rates provide more accuracy.
4. Plantwide rate: $250,000/40,000 = $6.25 Department B: $62,500/10,000 = $6.25
Job #73 Plantwide:
70 $6.25 = $437.50
10
Job #74
70 $6.25 = $437.50
Departmental:
20 $6.25 $ 125.00 50 $6.25 312.50 $ 437.50 50 $6.25
20 $6.25 $ 312.50 125.00 $ 437.50
Assuming that machine hours is a good cost driver, the departmental rates reveal that overhead consumption is the same in each department. In this case, there is no need for departmental rates, and a plantwide rate is sufficient.
5–4
1. 2. 3.
Overhead rate = $470,000/50,000 = $9.40 per MHr
Department A: $250,000/40,000 = $6.25 per MHr Department B: $220,000/10,000 = $22.00 per MHr Job #73 Plantwide:
70 $9.40 = $658
Job #74
70 $9.40 = $658 50 $6.25 20 $22
$ 312.50 440.00 $ 752.50
Departmental:
20 $6.25 $ 125.00 50 $22 1,100.00 $ 1,225.00
Department B appears to be more overhead intensive, so jobs spending more time in Department B ought to receive more overhead. Thus, departmental rates provide more accuracy.
4. Plantwide rate: $250,000/40,000 = $6.25 Department B: $62,500/10,000 = $6.25
Job #73 Plantwide:
70 $6.25 = $437.50 Departmental:
20 $6.25 $ 125.00 50 $6.25 312.50 $ 437.50 Job #74
70 $6.25 = $437.50 50 $6.25
20 $6.25
$ 312.50 125.00 $ 437.50
Assuming that machine hours is a good cost driver, the departmental rates reveal that overhead consumption is the same in each department. In this case, there is no need for departmental rates, and a plantwide rate is sufficient.
11
5–5
1. Last year’s unit-based overhead rate = $50,000/10,000 = $5 This year’s unit-based overhead rate = $100,000/10,000 = $10
Bike cost: 2 $20 3 $12 Overhead: 5 $5 5 $10 Total
Last Year $ 40 36 25 $101 This Year $ 40 36
50 $126
Price last year = $101 1.40 = $141.40/day Price this year = $126 1.40 = $176.40/day
This is a $35 increase over last year, nearly a 25 percent increase. No doubt the Carsons are not pleased and would consider looking around for other recreational possibilities. Purchasing rate Power rate
Maintenance rate Other rate
Purchasing $3 7,000 $3 3,000 Power
$0.40 5,000 $0.40 45,000 Maintenance $10 500 $10 100 Other
$2 11,000 Total overhead
= $30,000/10,000 = $20,000/50,000 = $6,000/600 = $44,000/22,000
= $3 per purchase order = $0.40 per kilowatt hour = $10 per maintenance hour = $2 per DLH
Picnic Catering
2.
Bike Rental $21,000
2,000
5,000
22,000 $50,000 $ 9,000
18,000
1,000 22,000 $50,000 3. This year’s bike rental overhead rate = $50,000/10,000 = $5 Carson rental cost = (2 $20) + (3 $12) + (5 $5) = $101 Price = 1.4 $101 = $141.40/day
4. Catering rate = $50,000/11,000 = $4.55* per DLH Cost of Estes job:
12
Bike rental rate (2 $7.50)
Bike conversion cost (2 $5.00) Catering materials
Catering conversion (1 $4.55) Total cost *Rounded
$15.00 10.00 12.00 4.55 $41.55
5. The use of ABC gives Mountain View Rentals a better idea of the types and costs of activities that are used in their business. Adding Level 4 bikes will increase the use of the most expensive activities, meaning that the rental rate will no longer be an average of $5 per rental day. Mountain View Rentals might need to set a Level 4 price based on the increased cost of both the bike and conversion cost.
分步成本法
6–1 1. Cutting Sewing
Department Direct materials $5,400 Direct labor 150 Applied overhead 750 Transferred-in cost: From cutting From sewing Total manufacturing cost $6,300 2. a. Work in Process—Sewing .................
Packaging
Department Department $ 900 $ 225 1,800 900 3,600 900 6,300 $12,600 6,300
12,600
14,625
14,625 12,600
12,600 $14,625 6,300
Work in Process—Cutting ..........
b. Work in Process—Packaging ............
Work in Process—Sewing ..........
c. Finished Goods ...................................
Work in Process—Packaging .....
3. Unit cost = $14,625/600 = $24.38* per pair
6–2
1. Units transferred out: 27,000 + 33,000 – 16,200 = 43,800
2. Units started and completed: 43,800 – 27,000 = 16,800
13
3. Physical flow schedule:
Units in beginning work in process Units started during the period Total units to account for 27,000 33,000 60,000 16,800 27,000 16,200 60,000 Conversion 43,800
Units started and completed Units completed from beginning work in process Units in ending work in process Total units accounted for 4. Equivalent units of production: Materials Units completed 43,800 Add: Units in ending work in process: (16,200 100%) 16,200 (16,200 25%) Equivalent units of output 60,000 6–3
1. Physical flow schedule:
4,050 47,850
Units to account for:
Units in beginning work in process Units started during the period Total units to account for
80,000 160,000 240,000 2. 3. 4. 5.
Units accounted for:
Units completed and transferred out: Started and completed 120,000 From beginning work in process 80,000 Units in ending work in process Total units accounted for Units completed
Add: Units in ending WIP Fraction complete (40,000 20%)
Equivalent units of output
Unit cost = ($374,400 + $1,258,400)/208,000 = $7.85 Cost transferred out = 200,000 $7.85 = $1,570,000 Cost of ending WIP = 8,000 $7.85 = $62,800 Costs to account for:
Beginning work in process $ 374,400 Incurred during June 1,258,400 Total costs to account for $ 1,632,800 Costs accounted for:
Goods transferred out
14
200,000 40,000 240,000 200,000 8,000 208,000
$ 1,570,000
Goods in ending work in process Total costs accounted for 62,800 $ 1,632,800
6–3
1、
Units t0 account for:
Units in beginning work in process(25% completed) 10000 Units started during the period Total units to account for Units accounted for
Units completed and transferred out
Started and completed 50000
From beginning work in process 10000 Units in ending work in process(60% completed) Total units accounted for 2、
60000+20000×60%=72000(units) 3、
Unit cost for materials:
4900035100060000200005($/unit)
Unit cost for convension:
26257873560000120001.13($/unit)
Total unit cost:
5+1.13=6.13($/unit)
4、
The cost of units of transferred out:
60000×6.13=367800($)
The cost of units of ending work in process:
20000×5+20000×20%×1.13=113560($)
15
70000 80000 60000 20000 80000 作业成本法
4–2
1.
Predetermined rates: Drilling Department: Rate = $600,000/280,000 = $2.14* per MHr Assembly Department: Rate = $392,000/200,000 = $1.96 per DLH *Rounded
Applied overhead:
Drilling Department: $2.14 288,000 = $616,320 Assembly Department: $1.96 196,000 = $384,160 Overhead variances:
Actual overhead Applied overhead Overhead variance
Drilling $602,000 616,320 $ (14,320) over Assembly $ 412,000 384,160 $ 27,840 under Total $ 1,014,000 1,000,480 $ 13,520 2.
3.
Unit overhead cost = [($2.14 4,000) + ($1.96 1,600)]/8,000 = $11,696/8,000 = $1.46*
*Rounded 4–3
1. Yes. Since direct materials and direct labor are directly traceable to
each product, their cost assignment should be accurate.
2. Elegant: (1.75 $9,000)/3,000 = $5.25 per briefcase Fina: (1.75 $3,000)/3,000 = $1.75 per briefcase
Note: Overhead rate = $21,000/$12,000 = $1.75 per direct labor dollar
(or 175 percent of direct labor cost).
There are more machine and setup costs assigned to Elegant than Fina. This is clearly a distortion because the production of Fina is automated and uses the machine resources much more than the handcrafted Elegant. In fact, the consumption ratio for machining is 0.10 and 0.90 (using machine hours as the measure of usage). Thus, Fina uses nine times the machining resources as Elegant. Setup costs are similarly distorted. The products use an equal number of setups hours. Yet, if direct labor dollars are used, then the Elegant briefcase receives three times more machining costs than the Fina briefcase.
16
3. Overhead rate = $21,000/5,000 = $4.20 per MHr
Elegant: ($4.20 500)/3,000 = $0.70 per briefcase Fina: ($4.20 4,500)/3,000 = $6.30 per briefcase
This cost assignment appears more reasonable given the relative demands each product places on machine resources. However, once a firm moves to a multiproduct setting, using only one activity driver to assign costs will likely produce product cost distortions. Products tend to make different demands on overhead activities, and this should be reflected in overhead cost assignments. Usually, this means the use of both unit- and nonunit-level activity drivers. In this example, there is a unit-level activity (machining) and a nonunit-level activity (setting up equipment). The consumption ratios for each (using machine hours and setup hours as the activity drivers) are as follows:
Machining 4,500/5,000) Setups
Elegant 0.10 0.50
Fina 0.90 0.50
(500/5,000
and
(100/200 and 100/200)
Setup costs are not assigned accurately. Two activity rates are needed—one based on machine hours and the other on setup hours: Machine rate: $18,000/5,000 = $3.60 per MHr Setup rate: $3,000/200 = $15 per setup hour Costs assigned to each product: Machining: $3.60 500 $3.60 4,500 Setups:
$15 100 Total Units
Unit overhead cost
Elegant $ 1,800
$ ÷ $ 1,500 3,300 3,000 1.10 Fina $ 16,200 1,500 $ 17,700 ÷ 3,000 $ 5.90
4:Elegant Unit overhead cost:[9000+3000+18000*500/5000+3000/2]/3000=$5.1
Fina Unit overhead cost:[3000+3000+18000*4500/5000+3000/2]/3000=$7.9
4–5
1. Price Cost
Deluxe $900 576 17
Percent 100% Regular Percent $750 100% 600 80
Unit gross profit $324 36% $150 20% 2.
Total gross profit: ($324 100,000) $32,400,000 ($150 800,000) Calculation of unit overhead costs: Deluxe Unit-level: Machining: $200 100,000 $200 300,000 Batch-level: Setups: $3,000 300 $3,000 200 Packing: $20 100,000 $20 400,000 Product-level: Engineering: $40 50,000 $40 100,000
$120,000,000
gular
$20,000,000
$60,000,000
900,000 600,000 2,000,000 8,000,000
2,000,000 4,000,000
Facility-level:
Providing space: $1 200,000 200,000 $1 800,000 800,000 Total overhead $25,100,000 $73,400,000 Units ÷100,000 ÷ 800,000 Overhead per unit $251 $91.75 Deluxe Percent Regular Percent Price $900 100% $750.00 100% Cost 780* 87*** 574.50** 77*** Unit gross profit $120 13%*** $175.50 23%*** Total gross profit: ($120 100,000) ($175.50 800,000) *$529 + $251 **$482.75 + $91.75
$12,000,000
$140,400,000
3. Using activity-based costing, a much different picture of the deluxe
and regular products emerges. The regular model appears to be more profitable. Perhaps it should be emphasized.
18
4–6
1. Salesa Allocationb
JIT
$12,500,000
750,000 Non-JIT $12,500,000
750,000
a
$125 100,000, where $125 = $100 + ($100 0.25), and 100,000 is the
average order size times the number of orders 0.50 $1,500,000
Ordering rate = $880,000/220 = $4,000 per sales order Selling rate = $320,000/40 = $8,000 per sales call Service rate = $300,000/150 = $2,000 per service call JIT Non-JIT Ordering costs: $4,000 200 $ 800,000 $4,000 20 $ 80,000 Selling costs: $8,000 20 $8,000 20
160,000
b
2. Activity rates:
160,000
Service costs: $2,000 100 200,000 $2,000 50 100,000 Total $1,160,000 $340,0 0
For the non-JIT customers, the customer costs amount to $750,000/20 = $37,500 per order under the original allocation. Using activity assignments, this drops to $340,000/20 = $17,000 per order, a difference of $20,500 per order. For an order of 5,000 units, the order price can be decreased by $4.10 per unit without affecting customer profitability. Overall profitability will decrease, however, unless the price for orders is increased to JIT customers.
3. It sounds like the JIT buyers are switching their inventory carrying
costs to Emery without any significant benefit to Emery. Emery needs to increase prices to reflect the additional demands on customer-support activities. Furthermore, additional price increases may be needed to reflect the increased number of setups, purchases, and so on, that are likely occurring inside the plant. Emery should also immediately initiate discussions with its JIT customers to begin negotiations for achieving some of the benefits that a JIT supplier should have, such as long-term contracts. The benefits of long-term
19
contracting may offset most or all of the increased costs from the additional demands made on other activities.
4–7
1. Supplier cost:
First, calculate the activity rates for assigning costs to suppliers: Inspecting components: $240,000/2,000 = $120 per sampling hour
Reworking products: $760,500/1,500 = $507 per rework hour Warranty work: $4,800/8,000 = $600 per warranty hour Next, calculate the cost per component by supplier: Supplier cost:
Purchase cost:
$23.50 400,000 $21.50 1,600,000 Inspecting components: $120 40 $120 1,960 Reworking products: $507 90 $507 1,410 Warranty work: $600 400 $600 7,600 Total supplier cost Units supplied Unit cost *Rounded
The difference is in favor of Vance; however, when the price concession is considered, the cost of Vance is $23.23, which is less than Foy’s component. Lumus should accept the contractual offer made by Vance.
Vance $ 9,400,000
4,800
45,630
240,000 $ 9,690,430 ÷ 400,000 $ 24.23* Foy
$ 34,400,000
235,200
714,870
4,560,000 $ 39,910,070 ÷ 1,600,000 $ 24.94*
4–7 Concluded
2. Warranty hours would act as the best driver of the three choices.
Using this driver, the rate is $1,000,000/8,000 = $125 per warranty hour. The cost assigned to each component would be: Vance Foy
20
Lost sales: $125 400 $125 7,600 Units supplied Increase in unit cost
$ 50,000
$ 50,000 ÷ 400,000 $ 0.13* $ 950,000 $ 950,000 ÷ 1,600,000 $ 0.59* *Rounded
$0.075 per unit Category II: $45/1,000 = $0.045 per unit Category III: $45/1,500 = $0.03 per unit
Category I, which has the smallest batches, is the most undercosted
of the three categories. Furthermore, the unit ordering cost is quite high relative to Category I’s selling price (9 to 15 percent of the selling price). This suggests that something should be done to reduce the order-filling costs.
3. With the pricing incentive feature, the average order size has been
increased to 2,000 units for all three product families. The number of orders now processed can be calculated as follows:
Orders = [(600 50,000) + (1,000 30,000) + (1,500 20,000)]/2,000 = 45,000 Reduction in orders = 100,000 – 45,000 = 55,000
Steps that can be reduced = 55,000/2,000 = 27 (rounding down to nearest whole number)
There were initially 50 steps: 100,000/2,000 Reduction in resource spending: Step-fixed costs:
Variable activity costs:
$50,000 27 = $1,350,000 $20 55,000 = 1,100,000 $2,450,000
预算
9-4
Norton, Inc.
Sales Budget For the Coming Year Model Units Price Total Sales LB-1 50,400 $29.00 $1,461,600 LB-2 19,800 15.00 297,000 WE-6 25,200 10.40 262,080
21
WE-7 WE-8 WE-9 Total
17,820 10.00 178,200 9,600 22.00 211,200 4,000 26.00 104,000 $2,514,080
二、 1. Raylene’s Flowers and Gifts Production Budget for Gift Baskets For September, October, November, and December Sept. Oct. Nov. Dec. Sales 200 150 180 250 Desired ending inventory 15 18 25 10 Total needs 215 168 205 260 Less: Beginning inventory 20 15 18 25 Units produced 195 153 187 235 2. Raylene’s Flowers and Gifts Direct Materials Purchases Budget For September, October, and November Fruit: Sept. Oct. Nov. Production 195 153 187 Amount/basket (lbs.) 1 1 1 Needed for production 195 153 187 Desired ending inventory 8 9 12 Needed 203 162 200 Less: Beginning inventory 10 8 9 Purchases 193 1 190 Small gifts: Sept. Oct. Nov. Production 195 153 187 Amount/basket (items) 5 5
5 Needed for production 975 765 935 Desired ending inventory 383 468 588 Needed 1,358 1,233 1,523 Less: Beginning inventory 488 383 468 Purchases 870 850 1,055 Cellophane: Sept. Oct. Nov. Production 195 153 187 Amount/basket (feet) 3 3 3 Needed for production 585 459 561 Desired ending inventory 230 281 353
22
Needed 815 740 914 Less: Beginning inventory 293 230 281 Purchases 522 510 633 Basket: Sept. Oct. Nov. Production 195 153 187 Amount/basket (item) 1 1 1 Needed for production 195 153 187 Desired ending inventory 77 94 118 Needed 272 247 305 Less: Beginning inventory 98 77 94 Purchases 174 170 211
3. A direct materials purchases budget for December requires January
production which cannot be computed without a February sales forecast.
8–3
1. Cash Budget
For the Month of June 20XX
$ 1,345 20,000 45,000 25,500 8,060
Beginning cash balance .......................................... Collections:
Cash sales ........................................................... Credit sales:
Current month ($90,000 50%) .................... May credit sales ($85,000 30%) ................. April credit sales* .......................................... Total cash available ................................................. Less disbursements: Inventory purchases:
Current month ($110,000 80% 40%) ....... Prior month ($100,000 80% 60%) ............ Salaries and wages ............................................. Rent ...................................................................... Taxes.................................................................... Total cash needs ........................................... Excess of cash available over needs .....................
$ 99,905
$ 35,200 48,000 10,300 2,200 5,500
101,200 $( 1,295) *Payments for April credit sales = $50,000 16% = $8,000 Late fees remitted = ($8,000/2) 0.015 = $60 Total Payments for April credit sales and late fees = $8,000 + $60 = $8,060
23
2. Yes, the business does show a negative cash balance for the month
of June. Without the possibility of short-term loans, the owner should consider taking less cash salary.
本量利分析
第一题
1. Units = Fixed cost/Contribution margin = $10,350/($15 – $12) = 3,450 2. Sales (3,450 $15)
$51,750 Variable costs (3,450 $12) 41,400 Contribution margin $ 10,350 Fixed costs
10,350 Operating income $ 0 3. Units = (Target income + Fixed cost)/Contribution margin
= ($9,900 + $10,350)/($15 – $12) = $20,250/$3
= 6,750
16–2
1.
Variable Units in Product Price* – Cost = CM Mix Scientific $25 $12 $13 1 Business 20 9 11 5
Total
*$500,000/20,000 = $25
$2,000,000/100,000 = $20
X = ($1,080,000 + $145,000)/$68 X = $1,225,000/$68
X = 18,015 packages
18,015 scientific calculators (1 18,015) 90,075 business calculators (5 18,015)
2. Revenue = $1,225,000/0.4* = $2,251,838
*($1,360,000/$2,500,000) = 0.4
24
Package = CM $13 55 $68 16–4
1. d 2. c 3. a
16–5
1. Sales mix:
4. d 5. e 6. b 7. c
Squares: $300,000/$30 = 10,000 units Circles: $2,500,000/$50 = 50,000 units
Sales Total Product P – V* =
P – V Mix Squares $30 $10 $20 1 Circles
50 10 40 5
Package
*$100,000/10,000 = $10 $500,000/50,000 = $10
Break-even packages = $1,628,000/$220 = 7,400 packages Break-even squares = 7,400 1 = 7,400 Break-even circles = 7,400 5 = 37,000
2.
Contribution margin ratio = $2,200,000/$2,800,000 = 0.7857
0.10Revenue = 0.7857Revenue – $1,628,000 0.6857Revenue = $1,628,000 Revenue = $2,374,216 3. New mix:
Sales Product P – V =
P – V Mix Squares $30 $10 $20 3 Circles
50 10 40 5
Package
Break-even packages = $1,628,000/$260 = 6,262 packages Break-even squares = 6,262 3 = 18,786
Break-even circles = 6,262 5 = 31,310
CM ratio = $260/$340* = 0.77
*(3)($30) + (5)($50) = $340 revenue per package
0.10Revenue = 0.77Revenue – $1,628,000 0.67Revenue = $1,628,000 Revenue = $2,449,225 16–7
25
=
CM $ 20 200 $220 Total =
CM $ 60 200 $260 1. Currently:
Sales (830,000 $0.36) Variable expenses Contribution margin Fixed expenses
Operating income $ 298,800 224,100 $ 74,700 ,000 $ 20,700 2.
New contribution margin = 1.5 $74,700 = $112,050
$112,050 – promotional spending – $,000 = 1.5 $20,700 Promotional spending = $27,000
Here are two ways to calculate the answer to this question: a. The per-unit contribution margin needs to be the same: b.
Let P* represent the new price and V* the new variable cost. (P – V) = (P* – V*) $0.36 – $0.27 = P* – $0.30 $0.09 = P* – $0.30 P* = $0.39
Old break-even point = $,000/($0.36 – $0.27) = 600,000 New break-even point = $,000/(P* – $0.30) = 600,000 P* = $0.39
The selling price should be increased by $0.03. Present contribution margin Increase in operating income
74,700 $16,300 3. Projected contribution margin (700,000 $0.13) $91,000
The decision was good because operating income increased by $16,300.
(New quantity $0.13) – $,000 = $20,700 New quantity = 574,615
Selling 574,615 units at the new price will maintain profit at $20,700.
16–6
1. Break-even units = $300,000/$14* = 21,429
*$406,000/29,000 = $14
Break-even in dollars = 21,429 $42** = $900,018 or = $300,000/(1/3) = $900,000 The difference is due to rounding error. **$1,218,000/29,000 = $42
26
2. 3.
Margin of safety = $1,218,000 – $900,000 = $318,000 Sales
Variable costs (0.45 $1,218,000) Contribution margin Fixed costs
Operating income
$ 1,218,000 8,100 $ 669,900 550,000 $ 119,900
Break-even in units = $550,000/$23.10* = 23,810
Break-even in sales dollars = $550,000/0.55** = $1,000,000 *$669,900/29,000 = $23.10 **$669,900/$1,218,000 = 55%
标准成本制度
二、
1. SH = 0.8 95,000 = 76,000 hours
2. SQ = 5 95,000 = 475,000 components 三、 1. 2.
Materials: $60 20,000 = $1,200,000 Labor: $21 20,000 = $420,000
Actual Cost* BudgetedCost Variance Materials $1,215,120 $1,200,000 $ 15,120 U Labor 390,000 420,000 30,000 F
*$122,000 $9.96; 31,200 $12.50 3. MPV = (AP – SP)AQ = ($9.96 – $10)122,000 = $4,880 F
MUV = (AQ – SQ)SP = (122,000 – 120,000)$10 = $20,000 U AP AQ
$9.96 122,000 $4,880 F SP AQ
$10 122,000 SP SQ
$10 120,000 $20,000 U Usage
Price
4. LRV = (AR – SR)AH = ($12.50 – $14)31,200 = $46,800 F
LEV = (AH – SH)SR = (31,200 – 30,000)$14 = $16,800 U
AR AH
27
SR AH SR SH
$12.50 31,200 $46,800 F Rate
$14 31,200 $16,800 U Efficiency $14 30,000
9–4
1. Fixed overhead rate = $0.55/(1/2 hr. per unit) = $1.10 per DLH
SH = 1,180,000 1/2 = 590,000 Applied FOH = $1.10 590,000 = $9,000 2. Fixed overhead analysis:
Actual FOH $630,000
$30,000 F Budgeted FOH $1.10 600,000 Applied FOH
$1.10 590,000 $11,000 U
Spending Volume
(600,000 expected hours = 1/2 hour 1,200,000 units) 3. Variable OH rate = ($1,350,000 – $660,000)/600,000 = $1.15 per DLH 4. Variable overhead analysis:
Actual VOH $705,000
$20,750 U Spending
Budgeted VOH $1.15 595,000
Applied VOH
$1.15 590,000 $5,750 U Efficiency
9–5
1. Cases needing investigation:
Week 2: Exceeds the 10% rule.
Week 4: Exceeds the $8,000 rule and the 10% rule.
Week 5: Exceeds the 10% rule.
2. The purchasing agent. Corrective action would require a return to the
purchase of the higher-quality material normally used. 六、
Materials:
AP AQ SP AQ SP SQ
$42,000 $0.90 53,000 $0.90 50,000 $5,700 F $2,700 U Price Usage
Labor:
28
AR AH $102,000
$2,300 F Rate SR AH $7 14,900 SR SH $7 15,000 $700 F Efficiency 变动成本法
一.
1.
2. 3.
Total Cost Per Unit Direct materials $ 97,500 $ 6.50 Direct labor 76,500 5.10 Variable overhead 17,400 1.16 Fixed overhead 51,000 3.40 Total $242,400 $16.16 Cost of ending inventory = $16.76 300 = $4,848 Total Cost Per Unit Direct materials $97,500 $ 6.50 Direct labor 76,500 5.10 Variable overhead 17,400 1.16 Total $191,400 $12.76 Cost of ending inventory = $12.76 300 = $3,828
Since absorption costing is required for external reporting, the amount reported would be $4,848. 15-3 1. Faisel Company Variable-Costing Segmented Income Statement
(in thousands)
Sales
Less variable COGS* Contribution margin
Less direct fixed expenses: Fixed overhead*
administrative** Segment margin
Less common fixed expenses: Fixed overhead
Selling and administrative Net income
Northeast $ 15,000 6,020 $ 8,980 (1,080) Selling (1,000) $ 6,900
South $ 12,000 8,380 $ 3,620
Total $ 27,000 14,400 $ 12,600
(720) (1,800)
and
(1,500) (2,500) $ 1,400 $ 8,300
(1,800) (2,000) $ 4,500 *Fixed costs = 20% of cost of goods sold = $3,600 Direct FOH costs = 50% of $3,600 = $1,800
29
Common FOH costs = 50% of $3,600 = $1,800
Northeast direct fixed costs = 0.30 $3,600 = $1,080 South direct fixed costs = 0.20 $3,600 = $720
Total allocated fixed costs under absorption costing: Northeast = $1,080 + 0.5($1,800) = $1,980 South = $720 + 0.5($1,800) = $1,620
Variable cost of goods sold:
Northeast = $8,000 – $1,980 = $6,020 South = $10,000 – $1,620 = $8,380
**Common selling and administrative expenses = $2,000
Direct selling and administrative expenses = $4,500 – $2,000 = $2,500
Northeast = 0.40 $2,500 = $1,000 South = 0.60 $2,500 = $1,500
The company should not eliminate the South region. The segment margin is positive. 2. Northeast South Contribution margin 59.9%* 30.2%* Segment margin 46.0 11.7
*Rounded
Faisel Company
Variable-Costing Segmented Income Statement
$ 16,500 6,622 $ 9,878 (1,080) (1,000) $ 7,798
Northeast 59.9%* 47.3*
South $ 13,200 9,218 $ 3,982 (720) (1,500) $ 1,762 South 30.2%* 13.3*
Total $ 29,700 15,840 $ 13,860 (1,800) (2,500) $ 9,560 (1,800) (2,000) $ 5,760
Northeast Sales
Less variable expenses: Cost of goods sold Contribution margin
Less direct fixed expenses: Fixed overhead
Selling and administrative Segment margin
Less common fixed expenses: Fixed overhead
Selling and administrative Net income
Contribution margin Segment margin
The contribution margin ratio remained constant as a percentage of sales, but the segment margin increased. By definition, we would
30
expect variable costs to increase in proportion to increases in sales, thus leaving the contribution margin ratio unchanged. However, we would expect the segment margin to increase as a percentage as sales increase, simply because direct fixed costs do not change as volume changes within the relevant range.
*Rounded
四.
1. d 2.
c 3. c b
15–6
1. Add Product C:
Product A Sales $ 250,000 $
725,000 Less variable expenses: Cost of goods sold (100,000) Selling and admin. (20,000) Contribution margin $ 130,000 $ 224,000
Less: Direct fixed exp. 10,000 Product margin $ 120,000 $ 144,000
Less: Common fixed exp. Net income
$ 69,000
Add Product D:
Product A Sales $ 250,000 $ 750,000
Less variable expenses: Cost of goods sold (100,000) Selling and admin. (20,000) Contribution margin $ 130,000 $ 227,500
Less: Direct fixed exp. 10,000 Product margin $ 120,000 $ 151,250
Less: Common fixed exp.
31
4. a 5. e 6.
Product B Product C Total
$ 375,000 $100,000
(250,000) (,000) (404,000) (65,000) (12,000) (97,000) $ 60,000 $ 34,000 55,000 15,000 80,000 $ 5,000 $ 19,000
75,000
Product B Product D Total $ 375,000 $125,000
(250,000) (81,250) (431,250) (65,000) (6,250) (91,250) $ 60,000 $ 37,500 55,000 11,250 76,250 $ 5,000 $ 26,250
75,000 Net income $ 76,250
The recommendation would be to add Product D, since it yields the greatest increase in net income.
2. Product B should be dropped to add Products C and D because B
has a product margin of only $5,000 and C and D have product margins of $19,000 and $26,250, respectively.
15–7
1.
Paper Napkin Diaper and Towel Salesa $550,000 $787,500 Less: Variable expensesb 327,250 483,000 Contribution margin $222,750 $304,500 Less: Direct fixed expensesc 215,000 110,000 Segment margin $ 7,750 $194,500 Less: Common fixed expenses Net income
a
Total
$ 1,337,500 810,250 $ 527,250 325,000 $ 202,250 130,000 $ 72,250 Diaper sales: $500,000 1.10; Napkin sales: $750,000 1.05 b
Diaper Division: $425,000/$500,000 = 85%. Under proposal, variable costs are reduced by 30%, or 0.7 0.85 = 59.5%. c
Diaper Division: $85,000 + $25,000 + $105,000
The proposals, if sound, will increase the segment margin of the Diaper Division by $17,750 and should be implemented.
2. Fran’s proposals without increased sales:
Paper Napkin Diaper and Towel Total Sales $500,000 Less: Variable expenses 297,500 Contribution margin $202,500 Less: Direct fixed expenses 215,000 Segment margin $ (12,500) Less: Common fixed expenses Net income
$750,000
460,000 $290,000 110,000 $180,000
$ 1,250,000 757,500 $ 492,500 325,000 $ 167,500 130,000 $ 37,500
If the increase in revenues does not take place, the Diaper Division and company would lose an extra $2,500.
32
Fran’s proposals without increased sales but with a 40 percent decrease in variable costs yield considerably better results. Paper Napkin Diaper and Towel Total Sales $500,000 $750,000 $ 1,250,000 Less: Variable expenses* 255,000 460,000 715,000 Contribution margin $245,000 $290,000 $ 535,000 Less: Direct fixed expenses 215,000 110,000 325,000 Segment margin $ 30,000 $180,000 $ 210,000 Less: Common fixed expenses 130,000 Net income $ 80,000 *For the Diaper Division, variable expenses are reduced by 40 percent and therefore represent 51 percent of sales (0.6 0.85).
短期生产经营决策
17-2
1. The two alternatives are to make the component in house or to buy it
from Couples. 2. Alternatives Differential Make Buy Cost to Make Direct materials $ 5.00 —
$ 5.00 Direct labor 2.38 — 2.38 Variable overhead 1.90 — 1.90 Purchase cost — $11.00 (11.00) Total relevant cost
$ 9.28 $11.00 $ (1.72)
Pierre should make the component in house because it will save $9,116 ($1.72 5,300) over purchasing it from Couples.
17–3
1. Sales Costs Operating profit
$ 293,000 2,000 $ 29,000 33
2.
Revenues
Further processing cost Operating income Sell Process Further Difference $40,000 $73,700 $33,700 0 23,900 23,900 $40,000 $49,800 $9,800
The company should process Delta further, because operating profit would increase by $9,800 if it were processed further. (Note: Joint costs are irrelevant to this decision, because the company will incur them whether or not Delta is processed further.)
17–6
1. 2.
COGS + Markup(COGS) = Sales
$144,300 + Markup($144,300) = $206,349 Markup($144,300) = $206,349 – $144,300 Markup = $62,049/$144,300 Markup = 0.43, or 43% Direct materials Direct labor Overhead Total cost Add: Markup Initial bid
$ 800 1,600 3,200 $ 5,600 2,408 $ 8,008 34
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