Question: Given the cost function, C(q)= 4(q 2)^3 + 50, and revenue function R(q)= pq of a companywith q the quantity of items produced, in

Given the cost function, C(q)= 4(q − 2)^3 + 50, and revenue function R(q)= pq of a companywith q the quantity of items produced, in hundreds. If the selling price of a unit is R 30, what quantity will maximise profit and company produce more than 400 items.Determine the price, that maximises revenue if demand is represented by q = −2p + 128.

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