Question
a) Degree of operating leverage = Contribution margin / profit Degree of operating leverage = 15,600,000 / 6,000,000 = 1.625 Sales = 1200000 x 24
a) Degree of operating leverage = Contribution margin / profit
Degree of operating leverage = 15,600,000 / 6,000,000 = 1.625
Sales = 1200000 x 24 = 28800000
Less: Variable cost = 1200000 x 11 = 13200000
Contribution Margin = 28800000 - 13200000 = 15,600,000
Less: Fixed cost = 9,600,000
Profit = 15600000-9600000 = 6000000
b) Break even units
Contribution margin per unit = Selling price - variable cost = $24 - $11 = $13
Break even units = Fixed cost / contribution margin per unit
Break even units = 9,600,000 / $13 = 738,461.5 or 738,462 units
c) If sales units increase by 25%
The new sales will be 1200,000 x 1.25 = 1500,000 cans
The new operating profit = [1500,000 x ($24-$11)] - $9,600,000 = $9,900,000
Increase in operating income in Dollars = $9,900,000 - $6,000,000 = $3,900,000
Percentage change in profits = 3,900,000 / 6,000,000 = 65% increased
Degree of operating leverage = Change in profit / change in sales
Degree of operating leverage = 65% / 25% = 2.6
D) If the company spends $30,000 as additional advertising expense (fixed cost) sales volume will increase by 10%. determine the new degree of operating leverage and new breakeven point in units
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