. Question 5 A manufacturer has been selling 1750 television sets a week at $510 each. A market survey indicates that for each 518 rebate offered to a buyer, the number of sets sold will increase by 180 per week. a) Find the demand function p(x), where a is the number of the television sets sold per week. P(I) = b) How large rebate should the company offer to a buyer, in order to maximize its revenue? c) If the weekly cost function is 148750 + 170x, how should it set the size of the rebate to maximize its profit?. Question 6 For the given cost function C(x) = 44100 + 700r + x', First, find the average cost function. Use it to find: a) The production level that will minimize the average cost b) The minimal average cost LA. Question 7 A farmer finds that if she plants 100 trees per acre, each tree will yield 40 bushels of fruit. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by 4 bushels. How many trees should she plant per acre to maximize her harvest? trees Give your answer rounded to the nearest whole number.. Question 8 The function P(x) = -4.25x- + 2975x - 4000 gives the profit when r units of a certain product are sold. Find a) the profit when 75 units are sold dollars b) the average profit per unit when 75 units are sold dollars per unit c) the rate that profit is changing when exactly 75 units are sold dollars per unit d) the rate that profit changes on average when the number of units sold rises from 75 to 150. dollars per unit e) The number of units sold when profit stops increasing and starts decreasing. (Round to the nearest whole number if necessary.) units