In the month of June, Jose Hebert\'s Beauty Salon gave 3,620 haircuts, shampoos,
ID: 2459390 • Letter: I
Question
In the month of June, Jose Hebert's Beauty Salon gave 3,620 haircuts, shampoos, and permanents at an average price of $30. During the month, fixed costs were $19,700 and variable costs were 60% of sales. Determine the contribution margin in dollars, per unit, and as a ratio. (Round the contribution ratio to 0 decimal places, e.g. 27%, contribution margin per unit to 2 decimal places, e.g. 15.25 and answer to the nearest whole dollar, e.g. 5,275.) Contribution Margin in Dollars $ Contribution Margin Per Unit $ Contribution Margin Ratio % Using the contribution margin technique, compute the break-even point in dollars and in units. (Round answers to 0 decimal places, e.g. 1,750.) Break-even sales (in dollars) $ Break-even sales (in units) units Compute the margin of safety in dollars and as a ratio. (Round the Margin of Safety ratio to 0 decimal places, e.g. 27%.) Margin of safety (in dollars): $ Margin of safety (ratio): %Explanation / Answer
Sales: 3620*30 =108600
Fixed cost: 19700
Variable cost: 60/100 * 3620*30 = 6516
Contribution Margin in dollars = sales – variable cost = 10860-6516 = 43440
Contribution Margin per Unit= Contribution Margin in dollars/ units = 43440/3620 = 12
Contribution Margin Ratio %= Contribution Margin in dollars/sales*100 %= 43440/108600 *100% = 40%
Break-even sales (in dollars) = Fixed cost/contribution margin per unit*30= 19700/12*30 = 49250
Break-even sales (in units) = fixed cost/contribution margin per unit= 19700/12 = 1642
Margin of safety (in dollars)= sales-break-even sales (in dollars)= 108600-49250 = 59350
Margin of safety (ratio)% = Margin of safety (in dollars)/sales*100% = 59350/108600*100= 55%
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