Question

Gibson Company makes a product that sells for $30 per unit. The company pays $11 per unit for the variable costs of the product and incurs annual fixed costs of $161,500. Gibson expects to sell 22,600 units of product.

Required

Determine Gibson’s margin of safety expressed as a percentage. (Round your answer to 2 decimal places (i.e., .2345 should be entered as 23.45).)

Margin of safety

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Answer #1

Answer:

Margin of Safety = 62.39%

Explanation:

Given,

Sales price per unit = $30

Variable costs per unit = $11

Contribution per unit = $30 - $11 = $19

Fixed costs = $161,500

Break even sales ( in units) = Fixed cost ÷Contribution Per unit

= $161,500 ÷ 19

= 8500 units.

Margin of Safety =

[Current sales level - Break-even sales level] ÷ Current sales level * 100

= [ (22,600 - 8500 ) ÷ 22,600] * 100

=( 14,100 ÷ 22,600 ) * 100

= 62.3893

= 62.39 %

i.e., Margin of safety ( in percentage) = 62.39

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