Target Profit Match with Product Mix and Added Fixed Costs
m = million.
You sold only Regular burgers in Year 1. In Year 2, you launch a Vegan burger while maintaining the same unit price and unit cost as in Year 1. A new training program and a supplier retainer add fixed costs in Year 2. The sales mix in Year 2 is Vegan:Regular = 2:3.
Assume both Regular and Vegan burgers have the same unit price (4)andunitvariablecost(1).
Given
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Year 1 (Regular-only):
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Fixed costs = $375m
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Units sold (Regular) = 231m
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Price per burger = $4
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Unit variable cost = $1
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Year 2 (launch Vegan):
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Additional fixed costs:
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Training = $60m per year
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Supplier retainer = $2.25m per month
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Sales mix = Vegan:Regular = 2:3
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Maintain the same unit price and unit cost as in Year 1 for both products
Task
How many total burgers (Regular + Vegan) must be sold in Year 2 to match the Year 1 profit? Show formulas and the final number.