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Question: JB Company sells three products — A, B, and C — with contribution margins of...

Question:
JB Company sells three products — A, B, and C — with contribution margins of $2.5, $1, and $2, respectively. The fixed costs for the period are $128. Preliminarily, the company has three versions of forecast for the coming period as follows:

Forecast One:

The forecast sales of 200 units in the coming period, consisting of 40 units of A, 100 units of B, and 60 units of C.

Forecast Two:

The forecast sales of 220 units in the coming period, maintaining the same sales mix as Forecast One.

Forecast Three:

The forecast sales of 240 units in the coming period, consisting of 40 units of A, 100 units of B, and 100 units of C. Fixed costs are increased to $160.

Required:

A. What is the company’s breakeven point in bundles under Forecast One?
Breakeven point =  bundles            

B. What is the company’s breakeven point in total units of (in the sum of) the three products under Forecast One?
Breakeven point =  in total units

C. What is the company’s total contribution margin under Forecast Two?
Contribution Margin = $                         

D. What is the company’s operating income under Forecast Three?
Operating Income = $                                  

E. What is the new breakeven point in bundles under Forecast Three?
Breakeven point =  bundles

F. What is the new breakeven point in total units of (in the sum of) the three products under Forecast Three?
Breakeven point =  in total units    

Solutions

Expert Solution

Particulars A B C Total
Units Contribution per Unit Total Contribution Units Contribution per Unit Total Contribution Units Contribution per Unit Total Contribution Units Total Contribution
Contribution Margin per unit 2.5 1 2
Forcast A 40 2.5 100 100 1 100 60 2 120 200 320
Forcast B 44 2.5 110 110 1 110 66 2 132 220 352
Forcast C 40 2.5 100 100 1 100 100 2 200 240 400
Requirements
A. What is the company’s breakeven point in bundles under Forecast One?
Breakeven point =  bundles            
Break Even Point Factor = Fixed Cost / Margin = 128/320 = 0.4
Units Contribution per Unit Total Contribution Units Contribution per Unit Total Contribution Units Contribution per Unit Total Contribution Units Total Contribution
Forcast A 40 2.5 100 100 1 100 60 2 120 200 320
Break Even Units = original Units * Breakeven Point Factor 16 2.5 40 40 1 40 24 2 48 80 128
B. What is the company’s breakeven point in total units of (in the sum of) the three products under Forecast One?
Breakeven point =  in total units
Break Even Point Factor = Fixed Cost / Margin = 128/320 = 0.4
Units Contribution per Unit Total Contribution Units Contribution per Unit Total Contribution Units Contribution per Unit Total Contribution Units Total Contribution
Forcast A 40 2.5 100 100 1 100 60 2 120 200 320
Break Even Units = original Units * Breakeven Point Factor 16 2.5 40 40 1 40 24 2 48 80 128
C. What is the company’s total contribution margin under Forecast Two?
Contribution Margin = $                         
Forcast B Units 44 2.5 110 110 1 110 66 2 132 220 352
Total Contribution Margin per Unit = 352/220 = 1.6 per unit
Forcast B Units = (Units of A in Forcast A/Total Units of Forcast A) * 220
D. What is the company’s operating income under Forecast Three?
Operating Income = $                                  
Forcast C 40 2.5 100 100 1 100 100 2 200 240 400
Total Contribution = 400
Fixed Costs = 128
Operating Income =                                   272
E. What is the new breakeven point in bundles under Forecast Three?
Breakeven point =  bundles
Break Even Point Factor = Fixed Cost / Margin = 128/400 = 0.32
Units Contribution per Unit Total Contribution Units Contribution per Unit Total Contribution Units Contribution per Unit Total Contribution Units Total Contribution
Forcast C 40 2.5 100 100 1 100 100 2 200 240 400
Break Even Units = original Units * Breakeven Point Factor 13 2.5 32 32 1 32 32 2 64 77 128
F. What is the new breakeven point in total units of (in the sum of) the three products under Forecast Three?
Breakeven point =  in total units
Breakeven point =  bundles
Break Even Point Factor = Fixed Cost / Margin = 128/400 = 0.32
Units Contribution per Unit Total Contribution Units Contribution per Unit Total Contribution Units Contribution per Unit Total Contribution Units Total Contribution
Forcast C 40 2.5 100 100 1 100 100 2 200 240 400
Break Even Units = original Units * Breakeven Point Factor 13 2.5 32 32 1 32 32 2 64 77 128

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