Bertie Corporation has two divisions: Retail Division and Wholesale Division. The following data are for the most recent operating period:
Total Company | Retail Division | Wholesale Division | |||||||
Sales | $ | 680,000 | $ | 375,000 | $ | 233,000 | |||
Variable expenses | $ | 185,530 | $ | 90,000 | $ | 95,530 | |||
Traceable fixed expenses | $ | 303,000 | $ | 217,000 | $ | 86,000 | |||
The common fixed expenses of the company are $103,360.
The company’s overall break-even sales is closest to:
$153,526 |
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$431,289 |
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$526,014 |
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$584,815 |
CM ratio of retail division = ( 375000 - 90000 ) / 375000 = 76 %
CM ratio of wholesale division = ( 233000 - 95530 ) / 233000 = 59 %
Sales mix ( retail division ) = 375000 / 608000 = 0.6168 ; [ 375000 + 233000 = 608000 ]
Sales mix ( retail division ) = 233000 / 608000 = 0.3832
Weighted avg. CM ratio = 0.6168 * 76 % + 0.3832 * 59 % = 69.4856 %
company’s overall break-even sales = Fixed costs / Weighted avg. CM ratio
( 303000 + 103360 ) / 0.694856
406360 / 0.694856 = $ 584812
Option d is correct.
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