Richard’s Donuts sells three types of donuts: sugar-glazed, cream-filled and giant-sized. The following table shows the sales price and variable cost for each type. Richard’s incurs $198,720 a year in fixed costs. Assume that the store has a sales mix of three sugar-glazed, two cream-filled, and one giant-sized.
Type Sales Price Variable Cost Contribution Margin
Sugar-glazed $0.40 $0.24 $0.16
Cream-filled 0.56 0.28 0.28
Giant-sized 0.72 0.32 0.40
What amount of revenue would need to be generated by each type of donut for the company to earn $33,120 in operating income?
Step1:-Calculation of combined contribution:-
Particular |
sugar-glazed |
cream-filled |
giant-sized |
Sales |
$0.40 |
$0.56 |
$0.72 |
Less variable cost |
$0.24 |
$0.28 |
$0.32 |
Contribution per unit |
$0.16 |
$0.28 |
$0.40 |
Sales mix |
3 |
2 |
1 |
Total |
$0.48 |
$0.56 |
$0.40 |
Total (Combined) contribution = $0.48 + $0.56 + $0.40 = $1.44
Step2:-What amount of revenue would need to be generated by each type of donut for the company to earn $33,120 in operating income?
Revenue(Sales) required earn profit=(Fixed cost+Desired profit ) / Total or combined Contribution
=($198,720+$33,120) / $1.44
=$1,61,000
Particular | sugar-glazed | cream-filled | giant-sized |
sales mix | 3 | 2 | 1 |
sales |
$161000x3/6 =$80,500 |
$161000x2/6 =$53,667 |
$161000x1/6 =$26,833 |
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