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Baffled Car Rental Agency is owned by a former race car driver with psychic powe

ID: 416432 • Letter: B

Question

Baffled Car Rental Agency is owned by a former race car driver with psychic powers. Baffled has two classes of rentals, short-term and long-term. Short-term rentals are in the customer's hands for only one half of a week, but long-term rentals are in the customer's hands for two weeks. Our psychic friend currently rents an average of 200 cars to his short termers and 100 cars to long-term customers each week.

Short-term renters pay $200 per week and long-term renters pay $120 per week. Regardless of whether the rental is short-term or long-term, a rental return follows the same process steps; it is checked in and routed either to Baffled's garage for repairs (about 20% of the cars) or straight to Baffled's cleaning facility for washing and vacuuming (the remaining 80% of the cars).

On average, about 100 cars are waiting to be cleaned for an average cost of $10 per car. Cars needing repairs spend an average of two weeks in the repair shop waiting for mechanics to effect repairs at an average cost of $130 per car.

Assume that the cars are rented as soon as they have been either cleaned or repaired.

What profit does Baffled make in a week if each car loses $50 per week in depreciation?

Explanation / Answer

On an average Baffked rents 200 short termer and 100 long termer cars.

Revenue= 200*200+100*120=$52,000

80% of the returned car =100 that routed to cleaning facility. Total car returned in a week= 100/80*100=125

Cost of cleaning= $10*100= $1,000

20% cars routed to garage, i.e. 20% of 125= 25. Cost= $130*25= $3250.

Depreciation= $50 per week, total depreciation expenditure= 300*$50= $15,000

Total cost= $1,000+$3,250+$15,000= $19,250.

Profit= $52,000-$19,250= $32,750 per week.

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