Question

Problem 4-3 Shamrock Audio produces a high-end DVD player that sells for $1,200. Total operating expenses...

Problem 4-3

Shamrock Audio produces a high-end DVD player that sells for $1,200. Total operating expenses for the past 12 months are as follows:
Units Produced and Sold Cost
August 164 $141,653
September 131 116,505
October 149 130,852
November 145 126,886
December 155 135,009
January 171 143,225
February 140 123,748
March 149 130,929
April 145 126,259
May 151 128,811
June 141 123,261
July 136 119,311
Use the high-low method to estimate fixed and variable costs.
Estimated fixed cost $

Estimated variable cost $

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Based on these estimates, calculate the break-even level of sales in units. (Round answer to whole units, e.g. 15. Use contribution margin per unit to calculate the answer.)
Break-even level of sales

units

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Calculate the margin of safety for the coming August assuming estimated sales of 172 units.
Margin of safety $

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Estimate total profit assuming production and sales of 172 units. (Use contribution margin per unit to calculate the answer.)
Total profit $

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Answer #1
Variable Cost = Highest Activity Cost - Lowest Activity Cost
Highest Activity Units - Lowest Activity Units
Variable Cost Per Unit = 143225-116505/171-131
668
Estimated Fised Cost = Highest Activity Cost -(Variable cost * Highest Activity Units)
143225 - (668*171)
28997
Break-Even sales Units = FC/(p-v)
28997/(1200-668)
55
Margin of Safety = Actual Sales Value - BEP Sales Value
(172*1200)-(55*1200)
140400
Calculation of Total Profit
Total Sales (172*1200) 206400
Less: Variable Cost (172*668) 114896
Contribution 91504
Less: Fixed Cost 28997
Total Profit 62507
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