Question: A companys production output, P, is given in tons, and is a function of the number of workers, N, and the value of the equipment,

A company’s production output, P, is given in tons, and is a function of the number of workers, N, and the value of the equipment, V, in units of $25,000. The production function for the company is

P = f(N, V ) = 5N^0.75V^0.25.

The company currently employs 80 workers, and has equipment worth $750,000. What are N and V? Find the values of f, f_N, and f_V at these values of N and V. Give units and explain what each answer means in terms of production.

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