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Cane Company manufactures two products called Alpha and Beta that sell for $180

ID: 2749097 • Letter: C

Question

Cane Company manufactures two products called Alpha and Beta that sell for $180 and $145, respectively. Each product uses only one type of raw material that costs $6 per pound. The company has the capacity to annually produce 118,000 units of each product. Its unit costs for each product at this level of activity are given below:

Alpha

Beta

  Direct materials

$

36

$

24

  Direct labor

32

27

  Variable manufacturing overhead

19

17

  Traceable fixed manufacturing overhead

27

30

  Variable selling expenses

24

20

  Common fixed expenses

27

22

  Total cost per unit

$

165

$

140

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.

11. How many pounds of raw material are needed to make one unit of Alpha and one unit of Beta?

12. What contribution margin per pound of raw material is earned by Alpha and Beta? (Round your answers to 2 decimal places.)

13. Assume that Cane’s customers would buy a maximum of 92,000 units of Alpha and 72,000 units of Beta. Also assume that the company’s raw material available for production is limited to 300,000 pounds. How many units of each product should Cane produce to maximize its profits?

14. Assume that Cane’s customers would buy a maximum of 92,000 units of Alpha and 72,000 units of Beta. Also assume that the company’s raw material available for production is limited to 300,000 pounds. What is the maximum contribution margin Cane Company can earn given the limited quantity of raw materials?

15. Assume that Cane’s customers would buy a maximum of 92,000 units of Alpha and 72,000 units of Beta. Also assume that the company’s raw material available for production is limited to 300,000 pounds. Up to how much should it be willing to pay per pound for additional raw materials? (Round your answer to 2 decimal places.)

Cane Company manufactures two products called Alpha and Beta that sell for $180 and $145, respectively. Each product uses only one type of raw material that costs $6 per pound. The company has the capacity to annually produce 118,000 units of each product. Its unit costs for each product at this level of activity are given below:

Explanation / Answer

Answer:

11. Calculation of pounds of raw material are needed to make one unit of Alpha and one unit of Beta.

12) Calculation of Contribution Margin per poound of raw material earned by Alpha & Beta

13. Calculation of Number of Units of each product that should Cane produce to maximize its profit

Raw Material is limited = 300,000 Pounds

Raw Material Required to Make

92,000 units of Alpha = 92,000 x 6 Pounds = 552,000 Pounds

and 72,000 units of Beta = 72,000 x 4 pounds = 288,000 Pounds

Since the Raw Material quantity is limited to 300,000 Pounds, it is advised to CANE to make that product which has higher contribution margin per pound of raw material.

From the solution of 12, it is clear that Beta unit margin is higher than Alpha.. So to maximize profit CANE is requried to produce Beta Units First than from the balance Alpha...

Demand of Beta Unit = 72,000 units

Raw Material Required to produced 72,000 Units of Beta = 72,000 x 4 pounds = 288,000 Pounds

So easily CANE can produce 72,000 Units of Beta by using 288,000 Pounds of raw material..

Balance Raw Material left = 300,000 - 288,000 = 12,000 Pounds

By using 12,000 Pounds of Raw Material, CANE can make Alpha Unit

The Maximum Alpha Units can be produced by using 12,000 Pounds of Raw Material = 12,000 / 6 = 2,000 Units..

So, to maximise the profit CANE optimum production of units will be as follows:

Alpha Units = 2,000 Units

Beta Units = 72,000 Units

For solution of Q-14 & 15, p lease put seperate question because it is taking lot of time...

Particulars Alpha Beta A. Direct Material Cost Per Unit $36 $24 B. Raw material cost per pound $6 $6 C. Raw Material quantity needed in pounds for one unit (A / B) 6 Pounds 4 Pounds
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