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Cane Company manufactures two products called Alpha and Beta that sell for $155

ID: 2485757 • Letter: C

Question

Cane Company manufactures two products called Alpha and Beta that sell for $155 and $115, respectively. Each product uses only one type of raw material that costs $6 per pound. The company has the capacity to annually produce 110,000 units of each product. Its unit costs for each product at this level of activity are given below:

Alpha

Beta

Direct materials

$

24

$

12

  Direct labor

23

26

  Variable manufacturing overhead

22

12

  Traceable fixed manufacturing overhead

23

25

  Variable selling expenses

19

15

  Common fixed expenses

22

17

  Total cost per unit

$

133

$

107

The company considers its traceable fixed manufacturing overhead to be avoidable, whereas its common fixed expenses are deemed unavoidable and have been allocated to products based on sales dollars.

6. Assume that Cane normally produces and sells 97,000 Betas per year. If Cane discontinues the Beta product line, how much will profits increase or decrease?

8. Assume that Cane normally produces and sells 67,000 Betas and 87,000 Alphas per year. If Cane discontinues the Beta product line, its sales representatives could increase sales of Alpha by 11,000 units. If Cane discontinues the Beta product line, how much would profits increase or decrease?

9. Assume that Cane expects to produce and sell 87,000 Alphas during the current year. A supplier has offered to manufacture and deliver 87,000 Alphas to Cane for a price of $108 per unit. If Cane buys 87,000 units from the supplier instead of making those units, how much will profits increase or decrease?

10. Assume that Cane expects to produce and sell 57,000 Alphas during the current year. A supplier has offered to manufacture and deliver 57,000 Alphas to Cane for a price of $108 per unit. If Cane buys 57,000 units from the supplier instead of making those units, how much will profits increase or decrease?

Cane Company manufactures two products called Alpha and Beta that sell for $155 and $115, respectively. Each product uses only one type of raw material that costs $6 per pound. The company has the capacity to annually produce 110,000 units of each product. Its unit costs for each product at this level of activity are given below:

Explanation / Answer

6. Contribution margin per unit from Beta: Selling price per unit - Variable cost per unit = $ ( 115 - 65) = $ 50

Total contribution margin = 97,000 x $ 50 = $ 4,850,000

If the Beta line is discontinued, traceable manufacturing fixed overhead costs that would be saved = $ 25 x 110,000 = $ 2,750,000

Hence, if Beta is discontinued, the decrease in profit would be $ 4,850,000 - $ 2,750,000 = $ 2,100,000

8. Contribution from Alpha = Selling price per unit - Variable costs per unit = $ 155 - $ 88 = $ 67

Total contribution from the additional sales of Alpha = 11,000 x $ 67 = $ 737,000

Loss of contribution from on discontinuing Beta = 67,000 x $ 50 = $ 3,350,000

Saving in traceable fixed manufacturing overhead of beta = $ 2,750,000

Increase in profit on discontinuing Beta = $ ( 737,000 + 2,750,000 - 3,350,000) = $ 137,000

9. Cost of purchasing Alphas= 87,000 x $ 108 = $ 9,396,000

Relevant cost of making Alphas = Total variable cost + Avoidable fixed cost = (87,000 x $ 69 ) + $ 2,530,000 = $ 8,533,000

If Cane buys from the supplier, profits would decrease by $ ( 9,396,000 - 8,533,000) = $ 863,000

10. Relevant cost of making Alphas = 57,000 x $ 69 + $ 2,530,000 = $ 6,463,000

Cost of purchasing from outside supplier = 57,000 x $ 108 = $ 6,156,000

If Cane opts for buying Alphas from outside supplier, profits would increase by $ ( 6,463,000 - 6,156,000 ) = $ 307,000

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