no one can seem to get this Transcribed Image Text: A manufacturer has been selling 1600 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(g), where q is the number of the television sets sold per
(Use q as your variable)
b) How large of a rebate should the manufacturer 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 $510 they are charging right now. Also, you will need to remember that the demand
function gives the relationship between the price and the quantity.)
c) If the weekly cost function is 136000 + 170q, how should the manufacturer set the size of
the rebate to maximize its profit?