Please complete all 3 questions. really need you help.

Given the given cost function C(2) = 8100 + 3200 + 1.8x2 and the demand function p(x) = 960. Find the production level that will maximize profit. A baseball team plays in a stadium that holds 50000 spectators. With the ticket price at $11 the average attendance has been 22000. When the price dropped to $9, the average attendance rose to 25000. Assume that attendance is linearly related to ticket price. What ticket price would maximize revenue? $ A manufacture has been selling 2000 television sets a week at $450 each. A market survey indicates that for each $21 rebate offered to a buyer, the number of sets sold will increase by 210 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? $ c) If the weekly cost function is 150000 + 150x, how should it set the size of the rebate to maximize its profit? S