a) Calculate the weighted average unit contribution margin, assuming a constant sales mix. b) How many units of each printer must be sold to break even? c) i) Explain what margin of safety is? ii) Calculate in sales units the margin of safety for IPM, assuming projected sales are 25,000units?

Cornerstones of Cost Management (Cornerstones Series)
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ISBN:9781305970663
Author:Don R. Hansen, Maryanne M. Mowen
Publisher:Don R. Hansen, Maryanne M. Mowen
Chapter16: Cost-volume-profit Analysis
Section: Chapter Questions
Problem 8E
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International Printer Machines (IPM) builds three computer printer models: Alpha, Beta, and Gamma. Information for these three products is as follows:

 

Alpha

Beta

Gamma

Total

Selling price per unit

$250

$400

$1500

 

Variable cost per unit

$80

$200

$800

 

Expected unit sales (annual)

12000

6000

2000

20000

Sales mix

50%

40%

10%

100%

Total annual fixed costs are $5,000,000. Assume the sales mix remains the same at all levels of sales.

Required:

  1. a) Calculate the weighted average unit contribution margin, assuming a constant sales mix.
  1. b) How many units of each printer must be sold to break even?
  1. c) i) Explain what margin of safety is?
  1. ii) Calculate in sales units the margin of safety for IPM, assuming projected sales are 25,000units?
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