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The owner of a rental car company is trying to decide how many cars to buy. He has determined that the annual value of marginal

The owner of a rental car company is trying to decide how many cars to buy. He has determined that the annual value of marginal product (P x MPK) of an additional car is approximated by: PxMPK = 5000 - 4xK, where K is the number of cars. A new car costs $20,000 and the interest rate on car loans is 5% per year and the depreciation rate of a car is 15% per year. (Assume 0 inflation so that 5% is also the real interest rate.) What is the optimal number of cars?

1.

0

2.

250

3.

500

4.

1,000

5.

5

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