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Answered
Trail Bikes, Inc. sells three Deluxe bikes for every seven Standard bikes. The Deluxe bike sells for $1,800 and has variable costs of $1,200. The Standard bike sells for $600 and has variable costs of $200.
a. If Trail Bikes has fixed costs that total $1,702,000, how many bikes must be sold in order for the company to break even?
b. How many of the bikes determined in (a) will be Deluxe bikes, and how many will be the Standard bikes?
On May 04, 2024
(The overall company product is labeled "E" in the answer.)a. Unit contribution margin of E: {[3 × ($1,800 - $1,200)] + [7 × ($600 - $200)]} ÷ 10 = $460
Break-even sales units for E: $1,702,000 ÷ $460 = 3,700 bikes
b. Deluxe: 30% × 3,700 = 1,110
Standard: 70% × 3,700 = 2,590