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E22-8. Compute break-even point. (LO 3, 4) Spencer Kars provides shuttle service

ID: 2535267 • Letter: E

Question

E22-8.  

Compute break-even point.

(LO 3, 4)

Spencer Kars provides shuttle service between four hotels near a medical center and an international airport. Spencer Kars uses two 10-passenger vans to offer 12 round trips per day. A recent month's activity in the form of a cost-volume-profit income statement is shown below.

Instructions

(a)  

Calculate the break-even point in (1) dollars and (2) number of fares.

(b)  

Without calculations, determine the contribution margin at the break-even point.

Fare revenues (1,500 fares) $36,000 Variable costs Fuel $?5,040 Tolls and parking 3,100 Maintenance 860 9,000 Contribution margin 27,000 Fixed costs Salaries 15,700 Depreciation 1,300 Insurance 1,000 18,000 Net income $?9,000

Explanation / Answer

(a) Computation of break-even point in (1) dollars and (2) number of fares

Contribution-Margin Ration = 27,000 / 36,000 = 0.75 = 75%

Break-even point ( in dollar) = Fixed Cost / Contibution-Margin = 18,000 / 0.75 = $24,000

Contibution per fare = 27,000 / 1500 = 18

Break-even point ( number of fares) = Fixed Cost / (Contibution per fare) = 18,000 / 18 = 1000 fares

(b) Contribution margin at the break-even point without computation

The contribution margin at breakeven point = Fixed cost = 18,000

(b) Contribution margin at the break-even point (with computation)

Fare Revenue(1000 fares) = (36000/1500) x 1000 = $24,000

Less: Variable Cost (for 1000 fares) = (9000 / 1500) x 1000 = 6,000

Contibution Margin at break-even point = 24,000 - 6,000 = $18,000

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