Question
A manufacture has been selling 1300 television sets a week at $420 each. A market survey indicates that for each $16 rebate offered to a buyer, the number of sets sold will increase by 160 per week.
a) Find the price p(x) of each television as a function of x, where x is the number of the television sets sold per week.
p(x)=
b) How large a rebate should the company offer, in order to maximize its revenue? in dollars
c) If the weekly cost function is 91000+140x, what value of the rebate maximizes the profit? in dollars
a) Find the price p(x) of each television as a function of x, where x is the number of the television sets sold per week.
p(x)=
b) How large a rebate should the company offer, in order to maximize its revenue? in dollars
c) If the weekly cost function is 91000+140x, what value of the rebate maximizes the profit? in dollars
Answers
Reiny
This is the same type of question as your previous one dealing with rent increases.
Follow my steps, by defining the number of $16 rebates as n
for c) recall that profit = revenue - cost
so just subtract the cost expression from your expression from a) and repeat the steps.
Follow my steps, by defining the number of $16 rebates as n
for c) recall that profit = revenue - cost
so just subtract the cost expression from your expression from a) and repeat the steps.