Find the price the industry should set and the number of, Operation Management

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Find the price the industry should set and the number of

An industry with a monopoly on a product has its average weekly costs, in dollars, given by

c‾ = [10,000/x]+60-0.03x+0.00001x²

The weekly demand for x units of the product is given by p = 120 - 0.015x dollars.

Find the price the industry should set and the number of units it should produce to obtain maximum profit. Find the maximum profit.

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