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Exercise 4-16 Wilde Home & Garden is organized into three departments. The follo

ID: 2423291 • Letter: E

Question

Exercise 4-16

Wilde Home & Garden is organized into three departments. The following sales and cost data are available for the prior year: What is the weighted average contribution margin ratio? (Round answer to 4 decimal places, e.g. 0.5212.) What level of sales is needed to earn a profit of $584,000 assuming the current mix? (Round answer to the nearest whole dollar, e.g. 5,275.) What is the contribution margin ratios of the three departments? (Round answers to 2 decimal places, e.g. 15.25.) Wilde Home & Garden places an advertisement in the local paper each week. All else equal, which department would you emphasize in the advertisement?

Explanation / Answer

Calculation of weighted average Contribution margin ratio of 3 departments:

Contribution margin ratio = Contribution margin / Sales

                                                        A                                             B                                           C

Contribution margin                  182000                                     327000                                210000

Sales                                         294000                                     894000                               972000

Contribution margin ratio           61.94%                                     36.58%                                21.60%

Calculation of sales mix % of products :

= Sales Revenue of each product / Total sales revenue * 100

sales mix % of A = 294000 / 2160000 * 100 = 13.62%

sales mix % of B = 894000 /  2160000 * 100 = 41.38%

sales mix % of C = 972000 / 2160000 * 100 = 45%

Calculation of weighted contribution margin ratio:     

= Sales mix % of Products   * Contribution margin ratio of products

=61.94 * 13.62   + 36.58 * 41.38 + 21.60 * 45

= 33.29%

Level of sales needed to earn a profit of $584000 assuming current mix:

Profit required to be earn                          $ 584000

Contribution required   = 584000 + 250200 = $834200

Sales = Contribution / weighted Average contribution margin ratio

Sales = 834200 / 33.29% = $2505857.61