Question: Suppose a company's revenue function is given by R(q) = -q3+ 380q2 and its cost function is given by C(q)=250+18g, where q is hundreds

Suppose a company's revenue function is given by R(q) = -q3+ 380q2

Suppose a company's revenue function is given by R(q) = -q3+ 380q2 and its cost function is given by C(q)=250+18g, where q is hundreds of units sold/produced, while R(q) and C(q) are in total dollars of revenue and cost, respectively. A) Find a simplified expression for the marginal profit function. (Be sure to use the proper variable in your answer.) MP(q)= B) How many items (in hundreds) need to be sold to maximize profits? Answer: hundred units must be sold. (Round to two decimal places.) A manufacture has been selling 1450 television sets a week at $450 each. A market survey indicates that for each $29 rebate offered to a buyer, the number of sets sold will increase by 290 per week. a) Find the demand function p(x), where x is the number of the television sets sold per week. p(x) = b) How large rebate should the company offer to a buyer, in order to maximize its revenue?

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