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The following information is for X Company\'s two products, A and B, last year:

ID: 2575331 • Letter: T

Question

The following information is for X Company's two products, A and B, last year:


Because of the reported loss for Product B, X Company is considering dropping it. Further analysis reveals that $5,780 of Product A's fixed costs and $27,940 of Product B's fixed costs are common costs that the company allocates to the two products.
7. If X Company drops Product B, company profits will change by $-3,833


8. Assume that sales of Product A can be increased by $15,210 if Product B is dropped. What will be the effect of this increase on company profits?

I tried:

8. if sales of product A are increased by $15,210.

new sales will be ($89,390 + 15,210) =>$104,600

variable costs will be ($52,740 / 89,390) * $104,600 =>$61,714.....(rounded to nearest dollar)..

the following is the calculation of the profits:

total profit = $12,106 - $27,940 => - $15,834.

the total profit will increase by (or loss will reduce by) = > - $15,834 - (- $18,237)

=>$2,403.

If product A sales increase by $15,210 the total loss is reduced by $2,403.

And it was incorrect.

Product A     Product B Sales $89,390    $86,080    Total variable costs 52,740    50,787    Total fixed costs 30,780    59,400    Profit $5,870    $-24,107   

Explanation / Answer

8 Contribution margin ratio for product A = (89390-52740)/89390= 41% Increase on company profits = 15210*41%= 6236 or 6236.1