Question

24-3. Product mix ratio and break-even analysis. Break-even analysis has been useful in making product mix decisions. To illustrate, a cost analyst assumed the following situation for a com- panys three major products: PROOUCT $10.00 $8.00 $11.00 $ 4.00 $3.00 $2.00 Sales price. Variable cost Contribution margi.rt Total fixed cost, $200,000. Required (1) The break-even point (in total and for each product) it the three products are sold in the ratio of 4:3:7 units. (Round the C/M ratio to 1100th of 1%) 2) The new break-even point (in total and for each product) it management decides to con- centrate its sales efforts on Product A with its higher contribution margin, resulting in a new sales ratio of 63.5 units. (Round the C/M ratio to 1/100th of 1%) в 24-а tiulo oteducts 2 Rauhles and Trinkets.

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Answer #1
Part 1 Product
A B C Total
a Sales Price 10.00 8.00 11.00 29.00
b Variable cost 6.00 5.00 9.00 20.00
c Contribution Margin 4.00 3.00 2.00 9.00
d Contribution Margin Ratio 40% 38% 18% 31%
e Product Mix 4 3 7 14
f Fixed cost alotted as per Product Mix 57142.86 42857.14 100000.00 200000.00
g Break even Point(in units) 14285.71 14285.71 50000.00 22222.22
h Break even Point(in dollars) 142857.14 114285.71 550000.00 644444.44
Part 2
Prduct Mix 6 3 5 14
Fixed cost alotted as per Product Mix 85714.29 42857.14 71428.57 200000
Break even Point(in units) 21428.57 14285.71 35714.29 22222.22
Break even Point(in dollars) 214285.71 114285.71 392857.14 644444.44
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