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Questions Problem 19-5 (Algorithmic) Mix and Break-Even Sales Data related to th

ID: 2460906 • Letter: Q

Question

Questions Problem 19-5 (Algorithmic) Mix and Break-Even Sales Data related to the expected sales of snowboards and skis for Winter Sports Inc. for the current year, which is typical of recent years, are as follows: Products Unit Selling Price Unit Variable Cost Sales Mix Snowboards estimated fixed costs for current year are $673,920. Required: Determine the estimated units of sales of the overall (total) product necessary to reach the break-even point for the current year. units Based on the break-even sales in units in part 1, determine the unit sales of both snowboards and skis for the current year. Snowboards: units Skis: units Assume that the sales mix was 60% snowboards and 40% skis. Determine the estimated units of sales of the overall product necessary to reach the break-even point for the current year. units Check My Work 0 - Icon Key

Explanation / Answer

Answer 1. At the break even point, the overall total contribution = overall Fixed cost .

So, contribution of snowboards = $210 -$140 = $70 per unit

and the contribution of skis = $560 - $260 = $300 per unit

Also, the sales mix is snowboards 40% and skis 60% and Fixe cost is estimated at $673,920

Total contribution (taking overall total units sale be X) = $70(X * 40%) + $300 (X * 60%)

Thus, break-even-point (in overall units sales) for the current year =  

= $70(X * 40%) + $300 (X * 60%) = $ 673,920

=> X = 673.920 / 208 = 3240 units

Answer 2: On the basis of Answer 1, the units sales of snowboards in the current year is 3240 * 40%=1296 units

       and the units sales of skis in the current year is 3240 * 60%=1944 units

Answer 3: Assume the sales mix was 60% snowboards and 40% skis,then the overall break-even-point sales in units are:

= $70(X * 60%) + $300 (X * 40%) = $ 673,920

=> X = 673.920 / 162 = 4160 units