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A manufacture has been selling 1500 television sets a week at 450 each. A market survey indicates that for each 29 rebate offered to a buyer, the number of sets sold will increase by 290 per week.
a) Find the demand function , where 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?
c) If the weekly cost function is , how should it set the size of the rebate to maximize its profit?
There are 3 suspects, A, B, and C, for a robbery that presumably happened in a shop. We know that the following facts are true:
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