A manufacture has been selling 1150 television sets a week at $390 each. A market survey indicates that for each $15 rebate offered to a buyer, the number of sets sold will increase by 150 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?
$
c) If the weekly cost function is
74750
+
130
x
, how should it set the size of the rebate to maximize its profit?
$