Question

CVP Analysis of Multiple Products Steinberg Company produces commercial printers. One is the regular model, a...

CVP Analysis of Multiple Products

Steinberg Company produces commercial printers. One is the regular model, a basic model that is designed to copy and print in black and white. Another model, the deluxe model, is a color printer-scanner-copier. For the coming year, Steinberg expects to sell 90,000 regular models and 18,000 deluxe models. A segmented income statement for the two products is as follows:

Regular Model Deluxe Model Total
Sales $13,500,000   $12,150,000   $25,650,000  
Less: Variable costs 9,000,000   7,290,000   16,290,000  
   Contribution margin $4,500,000   $4,860,000   $9,360,000  
Less: Direct fixed costs 1,200,000   960,000   2,160,000  
   Segment margin $3,300,000   $3,900,000   $7,200,000  
Less: Common fixed costs 1,280,000  
   Operating income $5,920,000  

Required:

1. Compute the number of regular models and deluxe models that must be sold to break even. Round all intermediate calculations to four decimal places, and round your final answers to the nearest whole unit.

Regular models units
Deluxe models units

2. Using information only from the total column of the income statement, compute the sales revenue that must be generated for the company to break even. Round the contribution margin ratio to four decimal places. Use the rounded value in the subsequent computation. (Express as a decimal-based amount rather than a whole percentage.) Round the amount of revenue to the nearest dollar.

Contribution margin ratio
Revenue $

Homework Answers

Answer #1
calculation of Total fixed cost
Direct fixed cost
regular model 1200000
deluxe model 960000
common fixed cost 1280000
Total fixed cost 3440000
break even (3440000/520) = 6615
Calculation of breakeven
Regular model (6615*5) 33075 unit
deluxe model (6615*1) 6615 unit

working

Particulars sale price p.u variable cost p.u contribution p.u sale mix mixed contribution margin
Regular model 150 100 50 5 250
Deluxe model 675 405 270 1 270
total 520
2) Contribution margin ratio = contribution/sale*100
contribution margin ratio = (9360000/25650000) = 0.3649
break even sale revenue = total fixed cost/Contribution margin ratio
breakeven sale revenue = (2160000+1280000)/0.3649
sale revenue = 9427240
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