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The following data are for the two products produced by Tadros Company.

Product A Product B

Direct materials …………………… \(15 per unit \)24 per unit

Direct labor hours ………………… 0.3 DLH per unit 1.6 DLH per unit

Machine hours …………………….. 0.1 MH per unit 1.2 MH per unit

Batches ……………………………... 125 batches 225 batches

Volume ………………………………. 10,000 units 2,000 units

Engineering modifications ……….. 12 modifications 58 modifications

Number of customers ……………… 500 customers 400 customers

Market price ………………………….. \(30 per unit \)120 per unit

The company’s direct labor rate is \(20 per direct labor hour (DLH). Additional information follows.

Costs Driver

Indirect manufacturing

Engineering support …………………… \)24,500 Engineering modifications

Electricity ………………………………… 34,000 Machine hours

Setup costs ……………………………… 52,500 Batches

Nonmanufacturing

Customer service ………………………. 81,000 Number of customers

Required

1. Compute the manufacturing cost per unit using the plantwide overhead rate based on direct labor hours. What is the gross profit per unit?

2. How much gross profit is generated by each customer of Product A using the plantwide overhead rate? How much gross profit is generated by each customer of Product B using the plantwide overhead rate? What is the cost of providing customer service to each customer? What information is provided by this comparison?

3. Determine the manufacturing cost per unit of each product line using ABC. What is the gross profit per unit?

4. How much gross profit is generated by each customer of Product A using ABC? How much gross profit is generated by each customer of Product B using ABC? Is the gross profit per customer adequate?

5. Which method of product costing gives better information to managers of this company? Explain why.

Short Answer

Expert verified

Cost per unit under plant-wide method,

For product A =$26.37

For product B = $84.64

Gross profit per unit under the plant-wide method,

For product A = $3.63

For product B = $35.36

Cost per unit under the ABC method,

For product A = $24.3

For product B =$95

Gross profit per unit under the plant-wide method,

For product A = $114

For product B = $125

Step by step solution

01

Meaning of Labor Cost

It is the cost associated with the workforce or human resources of the organization. For example, direct labor (wages to workers), factory indirect labor, office and administration staff salary, and selling and distribution staff salary.

02

Requirement 1

SinglePlantwideOverheadAllocationRate=TotalIndirectManufacturingCostTotaldirectlaborhourbyproductA+TotaldirectlaborhourbyproductB=$24,500+$34,000+$52,500(0.3×10,000)+(1.6×2,000)=$1,11,0006,200=$17.90

ManufacturingcostperunitforproductA=TotalDirectMaterialCost+TotalDirectLaborcost+TotalIndirectcostTotalNumberofunits=($15×10,000)+(0.3×10,000×$20)+($17.90×0.3×10,000)10,000=$150,000+$60,000+$53,70010,000=$26.37

ManufacturingcostperunitforproductB=TotalDirectMaterialCost+TotalDirectLaborcost+TotalIndirectcostTotalNumberofunits=($24×2,000)+(1.6×2,000×$20)+($17.90×1.6×2,000)2,000=$48,000+$64,000+$57,2802,000=$84.64

GrossProfitforproductA=MarketPricePerunit-Manufacturingcostperunit=$30-$26.37=$3.63

GrossProfitforproductB=MarketPricePerunit-Manufacturingcostperunit=$120-$84.64=$35.36

03

Requirement 2

GrosProfitbyeachcustomerforproductA=Grossprofitperproduct×NumberofproductNumberofcustomer=$3.63×10,000500=$36,300500=$72.6

GrosProfitbyeachcustomerforproductB=Grossprofitperproduct×NumberofproductNumberofcustomer=$35.36×2,000400=$70,720400=$176.8

CustomerServiceCostpercustomer=TotalCustomerServiceCostTotalNumberofCustomers=$81,000500+400=$81,000900=$90

The comparison of gross profit per customer provides that on an average each customer generate $72.6of gross profit for product A and $176.8of gross profit for product B.

Since the customer service cost per customer is the same for both the product, Product A returns a net loss of $17.4 and product B returns a net profit of $86.8. As the net profit by product B is larger than the loss by product A, the loss per customer would be covered by product B and there would be a total net profit on the sale of both products.

04

Requirement 3Computation of manufacturing cost using ABC for product A

DirectLaborcostperunit=No.ofdirectlaborhour×RateNo.ofproducts=(0.3×10,000)×$2010,000=$6

EngineeringSupportcostperunit=TotalEngineeringcost×NotificationbyproductATotalNotification×TotalNumberofproducts=$24,500×12(12+58)×10,000=$294,00070×10,000=$0.42

Electricitycostperunit=TotalElectricitycost×MachinehourbyATotalMachinehour×TotalNumberofproducts=$34,000×(0.1×10,000)(0.1×10,000)+(1.2×2,000)×10,000=$34,000×1,000(1,000+2,400)×10,000=$1

Setupcostperunit=TotalSetupcost×No.ofbatchesbyATotalNo.ofbatches×TotalNumberofproducts=$52,500×125(125+225)×10,000=$52,500×125350×10,000=$1.875

role="math" localid="1660218712709" TotalManufacturingcostperunitforproductA=DirectMateriaCost+Directlaborcost+IndirectManufacturingCost=$15+$6+($0.42+$1+$1.875)=$24.295or$24.30

Computation of manufacturing cost using ABC for product B

DirectLaborcostperunit=No.ofdirectlaborhour×RateNo.ofproducts=(1.6×2,000)×$202,000=$32

EngineeringSupportcostperunit=TotalEngineeringcost×NotificationbyproductBTotalNotification×TotalNumberofproducts=$24,500×58(12+58)×2,000=$1,421,00070×2,000=$10.15

role="math" localid="1660218997456" Electricitycostperunit=TotalElectricitycost×MachinehourbyATotalMachinehour×TotalNumberofproducts=$34,000×(1.2×2,000)(0.1×10,000)+(1.2×2,000)×2,000=$34,000×2,400(1,000+2,400)×2,000=$12

Setupcostperunit=TotalSetupcost×No.ofbatchesbyATotalNo.ofbatches×TotalNumberofproducts=$52,500×225(125+225)×2,000=$52,500×225350×2,000=$16.875

role="math" localid="1660219176271" TotalManufacturingcostperunitforproductA=DirectMaterialCost+Directlaborcost+IndirectManufacturingCost=$24+$32+($10.15+$12+$16.875)=$95.025or$95

GrossProfitforproductA=MarketPrice-Manufacturingcostperunit=$30-$24.30=$5.7

GrossProfitforproductB=MarketPrice-Manufacturingcostperunit=$120-$95=$25

05

Requirement 4

GrosProfitbyeachcustomerforproductA=Grossprofitperproduct×NumberofproductNumberofcustomer=$5.7×10,000500=$57,000500=$114

GrosProfitbyeachcustomerforproductB=Grossprofitperproduct×NumberofproductNumberofcustomer=$25×2,000400=$50,000400=$125

Gross profit per customer is adequate as per the number of products produced and the number of customer to whom sold for each product.

06

Requirement 5

ABC system gives a better picture to the managers regarding the total cost per unit. Under ABC system the indirect cost is allocated as per the activity level for each product. Thus there is no chance of having overvalued or undervalued overhead allocation. The overhead allocated to each product matches with the activity level.

So based on this, the ABC system more accurate information rather than the traditional method.

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Most popular questions from this chapter

Refer to the information in Exercise 17-7 to answer the following requirements.

Required

1. Using ABC, compute the overhead cost per unit for each product line.

2. Determine the total cost per unit for each product line if the direct labor and direct materials costs per unit are \(250 for Model 145 and \)180 for Model 212.

3. If the market price for Model 145 is \(820 and the market price for Model 212 is \)480, determine the profit or loss per unit for each model. Comment on the results.

A manufacturer uses machine hours to assign overhead costs to products. Budgeted information for the next year follows. Compute the plantwide overhead rate for the next year based on machine hours.

Budgeted factory overhead costs

$544,000

Budgeted machine hours.

6,400

What are three common methods of assigning overhead costs to a product?

Rafner Manufacturing identified the following budgeted data in its two production departments.

Assembly

Finishing

Manufacturing overhead costs

\(1,200,000

\)600,000

Direct labor hours .

12,000 DLH

20,000 DLH

Machine hours

6,000 MH

16,000 MH

  1. What is the company’s single plantwide overhead rate based on direct labor hours?
  2. What is the company’s single plantwide overhead rate based on machine hours? (Round your answer to two decimal places.)

Xylon Company manufactures custom-made furniture for its local market and produces a line of home furnishings sold in retail stores across the country. The company uses traditional volume-based methods of assigning direct materials and direct labor to its product lines. Overhead has always been assigned by using a plantwide overhead rate based on direct labor hours. In the past few years, management has seen its line of retail products continue to sell at high volumes, but competition has forced it to lower prices on these items. The prices are declining to a level close to its cost of production. Meanwhile, its custom-made furniture is in high demand, and customers have commented on its favourable (lower) prices compared to its competitors. Management is considering dropping its line of retail products and devoting all of its resources to custom-made furniture.

Required

1. What reasons could explain why competitors are forcing the company to lower prices on its highvolume retail products?

2. Why do you believe the company charges less for custom-order products than its competitors?

3. Does a company’s costing method have any effect on its pricing decisions? Explain.

4. Aside from the differences in volume of output, what production differences do you believe exist between making custom-order furniture and mass-market furnishings?

5. What information might the company obtain from using ABC that it might not obtain using volume-based costing methods?

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