Question

Bertie Corporation has two divisions: Retail Division and Wholesale Division. The following data are for the...

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

$431,289

$526,014

$584,815

Homework Answers

Answer #1

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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