Question

Selling Price Per Unit    17 Revelant Range 65,000 -120,000 units Cost of Manufacturing Variable Cost...

Selling Price Per Unit    17
Revelant Range 65,000 -120,000 units

Cost of Manufacturing

Variable Cost 9.00
Fixed Cost 450,000

Selling and Admin

Variable Cost Per Unit 1.25
Fixed 50,000

Explain the relevant range referred to above, show the variable cost and the fixed cost per unit at 115,000 units. Why would you not use the above information to determine the cost at 125,00 units.

Part 2

The company produced 100,000 units based upon the above info, and sold 80,000 units

Determine the Operating Income using variable costing?

Determine the margin of safety and degree of operating leverage?

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Answer #1

Total variable cost per unit = $9 + $1.25 = $10.25

Fixed cost = $450,000 + $50,000 = $500,000

Variable cost per unit does not change with change in number of units produced.

Variable cost per unit = $10.25

Fixed cost per unit = $500,000 / 115,000 = $4.35

The fixed cost per unit changes with change in the number if units produced. Hence per unit costs calculated for 115,000 units cannot be used for calculating 125,000 units.

Part 2

Sales $1,360,000
Variable cost $820,000
Contribution margin $540,000
Fixed cost $500,000
Operating income $40,000

Breakeven sales = [$500,000 / ($17 - $10.25)] X $17 = $1,259,258

Margin of safety = $1,360,000 - $1,259,258 = $100,742 (or) $100,741

Degree of operating leverage = $540,000 / $40,000 = 13.50

Note: The margin of safety in dollars is calculated and the answer might differ because of decimal places to be used. There are no instructions regarding number of decimal places to be used in the question.

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