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what\'s the solution explain calculation in breif Environmental costs, activity-

ID: 2538860 • Letter: W

Question

what's the solution explain calculation in breif

Environmental costs, activity-based costingBevans Co. makes two products, Product X and Product Y. Bevans has produced Product X for many years without generating any hazardous wastes. Recently, Bevans developed Product Y, which is superior to Product X in many respects. However, production of Product Y generates hazardous wasles. Because of the hazardous wastes, Bevans now must deal with hazardous waste disposal, governmental environmental reports and inspections, and safe handling procedures. Bevans Co, uses an indirect cost rate based on machine hours to assign manufacturing support costs to its two products. Because of concerns about the accuracy of the product costing system, Joel Dempsey, the controller, undertook an activity-based costing analysis of the manufacturing support costs, including an analysis of the support costs related to Product Y's generation of hazardous wastes. The resulting cost information, as well as machine hours and number of units, is summarized in the following table: PRODUCT X PRODUCTY Direct costs (material plus labor) | S9. 000.000 54000,000 Environmental support costs $14.000,000 Nonenvironmental support costs $22,000,000 $29,000,000 Total machine hours 10000,000 6,000,000 Number of units 100 000,000 40.000,000 Required (a) Compute product costs per unit for Products X and Y using the current indirect cost rate based on machine hours for manufacturing support costs (b) Compute product costs per unit for Products X and Y using the activity-based costing figures provided in the table (c) Explain the reasons for the diferences in cost for each product using the tvo cost systems (d) Bevans has been selling Products X and Y at price equal to 5 tres the product cost computed using the machine-hour-based cost driver rate for manufacturing support costs Compute these prices and provide recommendations to Bevans management conceming improvement through pricing changes and cost reduction through manufacturing improvements s for the differences in cost for each product using the two cost systems

Explanation / Answer

Compute product costs per unit for products X and Y using the current cost driver rate base on machine hours for manufacturing support costs.

(a)

Product X

Product Y

Direct costs

(material plus labor)

$9,000,000

$4,000,000

Non environmental support costs

22,000,000

29,000,000

Environmental support

      —       

14,000,000

Total support costs

$22,000,000

$43,000,000

$65,000,000

Total machine hours

10,000,000

6,000,000

16,000,000

Number of units

100,000,000

40,000,000

Current cost driver rate:

   Total support ¸ machine

      hours

$4.0625

Costs using current cost

driver rate

Direct costs

(material plus labor)

$ 9,000,000

$ 4,000,000

Applied support:

$4.0625 per machine hour

40,625,000

24,375,000

Total costs

$49,625,000

$28,375,000

Number of units

100,000,000

40,000,000

Cost per unit

$0.50

$0.71

(b)

Per unit

Product X

Product Y

X

Y

Direct costs

(material plus labor)

$ 9,000,000

$ 4,000,000

$0.09

$0.10

Non environmental support cost

22,000,000

29,000,000

0.05

0.20

Environmental support

       —      

14,000,000

0.35

Total support

$22,000,000

$43,000,000

$0.22

$1.08

Total costs

$31,000,000

$47,000,000

Number of units

100,000,000

40,000,000

Cost per unit using ABC

$0.31

$1.18

(d)

Product X

Product Y

Cost per unit using current cost driver rate

$0.50

$0.71

Price, 1.5 ´ cost

$0.75

$1.07

Cost per unit using ABC

$0.31

$1.18

Price, 1.5 ´ cost

$0.47

$1.77

Of the two costing systems here, the activity-based costing system more accurately assigns costs of resource usage to the two products.

(a)

Product X

Product Y

Direct costs

(material plus labor)

$9,000,000

$4,000,000

Non environmental support costs

22,000,000

29,000,000

Environmental support

      —       

14,000,000

Total support costs

$22,000,000

$43,000,000

$65,000,000

Total machine hours

10,000,000

6,000,000

16,000,000

Number of units

100,000,000

40,000,000

Current cost driver rate:

   Total support ¸ machine

      hours

$4.0625

Costs using current cost

driver rate

Direct costs

(material plus labor)

$ 9,000,000

$ 4,000,000

Applied support:

$4.0625 per machine hour

40,625,000

24,375,000

Total costs

$49,625,000

$28,375,000

Number of units

100,000,000

40,000,000

Cost per unit

$0.50

$0.71