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Exercise 11-19 Margin of safety LO 11-6 Information concerning a product produce

ID: 2582195 • Letter: E

Question

Exercise 11-19 Margin of safety LO 11-6

Information concerning a product produced by Ender Company appears here:

Required

Determine the following:

Contribution margin per unit.

Number of units that Ender must sell to break even.

Sales level in units that Ender must reach to earn a profit of $222,500.

Determine the margin of safety in units, sales dollars, and as a percentage. (Round “Percentage” answer to 1 decimal place (i.e., 0.234 should be entered as 23.4).)

Sales price per unit $ 167 Variable cost per unit $ 78 Total annual fixed manufacturing and operating costs $ 623,000

Explanation / Answer

Contribution margin per unit= Sales Price Per Unit - Variable Cost Per Unit

= $ 167 - $ 78

= $ 89

Number of units that Ender must sell to break even = Fixed Costs / Contribution margin per unit

= $ 623,000 / $ 89

= 7,000 Units

Required Profit = $ 222,500

Add: Fixed Cost = $ 623,000

Hence, Required Contribution = $ 845,500

Contribution margin per unit = $ 89

Hence, Units Sold = Required Contribution /Contribution margin per unit

= $ 845,500 / $89

= 9,500 Units

margin of safety (Units) = Actual Sales - Break Even Sales

= 9,500 - 7,000

= 2,500 Units

margin of safety (Sales Dollar) =Actual Sales - Break Even Sales

= ($ 167 * 9,500 Units) - ($ 167 *7,000 Units)

= $ 417,500

margin of safety (as a percentage) = (Actual Sales - Break Even Sales)/ Actual Sales*100

= $ 417,500 / $ 1,586,500*100

= 26.3%