Question 12
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A manufacture has been selling 1800 television sets a week at $540 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?
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c) If the weekly cost function is 162000 + 180 x, how should it set the size of the rebate to
maximize its profit?
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