Need help with one math problem. View screenshot below for the problem. Thank you!

A manufacturer in Las Vegas has been selling 1150 television sets a week at $510 each. A market survey indicates that for each $12 rebate offered to a buyer, the number of sets sold will increase by 120 per week. a) Find the linear demand function D(q), where q is the number of the television sets sold per week. b) How large rebate should the company offer to a buyer, in order to maximize its revenue? (Note that you are asked about a rebate! The rebate is based on the original price of 5510 they are charging right now. Also, you will need to remember that the demand function gives the relationship between the price and the quantity.) 5 c) If the weekly cost function is 97750 + 17011, how should it set the size of the rebate to maximize its profit? 5 Check