no one can seem to get this Transcribed Image Text: A manufacturer has been selling 1600 television sets a week at $510 each

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
week.
D(q)
(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.)
$4
c) If the weekly cost function is 136000 + 170q, how should the manufacturer set the size of
the rebate to maximize its profit?
$

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