A manufacture has been selling 1350 television sets a week at $480 each. A market survey indicates that for each $18 rebate offered to a buyer, the number of sets sold will increase by 180 per week. i. Find the demand function p(x), where is the number of the television sets sold per week. p(x) = ii. How large rebate should the company offer to a buyer, in order to maximize its revenue? $ iii. If the weekly cost function is 108000 + 160x, how should it set the size of the rebate to maximize its profit? $

A. Find the average cost function for ? televisions produced. B. Find the instantaneous rate of change of the average cost function.

A firm sells a product for $80 per unit. Raw material costs are$12,50 per unit, labor costs are $27,50 per unit, and annual fixedcosts are $260,000.a. Determine the profit function P(x), where x equals the numberof units sold.b. How many units would have to be sold to earn an annualprofit of $250,000.