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Cane Company manufactures two products called Alpha and Beta that sell for $140

ID: 2474253 • Letter: C

Question

Cane Company manufactures two products called Alpha and Beta that sell for $140 and $100, respectively. Each product uses only one type of raw material that costs $8 per pound. The company has the capacity to annually produce 106,000 units of each product. Its unit costs for each product at this level of activity are given below:

  

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.

Assume that Cane expects to produce and sell 84,000 Alphas during the current year. One of Cane's
sales representatives has found a new customer that is willing to buy 14,000 additional Alphas for a price of $96 per unit. If Cane accepts the customer’s offer, how much will its profits increase or decrease? (Input the amount as positive value.)

Cane Company manufactures two products called Alpha and Beta that sell for $140 and $100, respectively. Each product uses only one type of raw material that costs $8 per pound. The company has the capacity to annually produce 106,000 units of each product. Its unit costs for each product at this level of activity are given below:

Explanation / Answer

Solution:

Statement of Profit if company not accept the offer of 14,000 addition units or accept the offer

If not accept the offer

If accept the offer

Increase / (Decrease)

Produce and Sell Unit

84,000

98,000

Sale Price Per Unit

$140

$140

Sale Value

$11,760,000

$13,720,000

Expenses:

Direct Material

$2,688,000

$3,136,000

Direct Labor

$2,016,000

$2,352,000

Variable Manufacturing Overhead

$840,000

$980,000

Variable Selling Expenses

$1,344,000

$1,568,000

Total Variable Cost

$6,888,000

$8,036,000

Contribution Margin

(Sale - Total Variable Cost)

$4,872,000

$5,684,000

Traceable Fixed Manufacturing Overhead

$2,120,000

$2,120,000

Common Fixed Expenses

$2,014,000

$2,014,000

Total Fixed Cost

$4,134,000

$4,134,000

Operating Profit

(Contribution - Total Fixed Cost)

$738,000

$1,550,000

$812,000

If Cane accepts the customer’s offer, its profits will be increased by $812,000

We can also solve this question by taking only variable costing system. Because fixed cost are common in both the situation, whether company accept or reject the offer fixed cost will be the same. Hence it is irrelevant for decision making whether to accept of reject.

From the statement upto Contribution margin, the difference of contribution margin is $812,000.. Hence the profit of company will be increase by $812,000 is they accept the offer of additional 14,000 Units.

If not accept the offer

If accept the offer

Increase / (Decrease)

Produce and Sell Unit

84,000

98,000

Sale Price Per Unit

$140

$140

Sale Value

$11,760,000

$13,720,000

Expenses:

Direct Material

$2,688,000

$3,136,000

Direct Labor

$2,016,000

$2,352,000

Variable Manufacturing Overhead

$840,000

$980,000

Variable Selling Expenses

$1,344,000

$1,568,000

Total Variable Cost

$6,888,000

$8,036,000

Contribution Margin

(Sale - Total Variable Cost)

$4,872,000

$5,684,000

Traceable Fixed Manufacturing Overhead

$2,120,000

$2,120,000

Common Fixed Expenses

$2,014,000

$2,014,000

Total Fixed Cost

$4,134,000

$4,134,000

Operating Profit

(Contribution - Total Fixed Cost)

$738,000

$1,550,000

$812,000

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