Statement:

A manufacturer has been selling 1000 television sets a week at $\mathrm{\$}480$ each. A market survey indicates that for each $\mathrm{\$}11$ rebate offered to a buyer, the number of sets sold will increase by 110 per week.

Questions :

a) Find the function representing the revenue R(x), where x is the number of $\mathrm{\$}11$ rebates offered.

For this, I got $(110x+1000)(480-11x)$. Which is marked correct

b) How large rebate should the company offer to a buyer, in order to maximize its revenue?

For this I got 17.27. Which was incorrect. I then tried 840999, the sum total revenue at optimized levels

c) If it costs the manufacturer $\mathrm{\$}160$ for each television set sold and there is a fixed cost of $\mathrm{\$}80000$, how should the manufacturer set the size of the rebate to maximize its profit?

For this, I received an answer of 10, which was incorrect.

A manufacturer has been selling 1000 television sets a week at $\mathrm{\$}480$ each. A market survey indicates that for each $\mathrm{\$}11$ rebate offered to a buyer, the number of sets sold will increase by 110 per week.

Questions :

a) Find the function representing the revenue R(x), where x is the number of $\mathrm{\$}11$ rebates offered.

For this, I got $(110x+1000)(480-11x)$. Which is marked correct

b) How large rebate should the company offer to a buyer, in order to maximize its revenue?

For this I got 17.27. Which was incorrect. I then tried 840999, the sum total revenue at optimized levels

c) If it costs the manufacturer $\mathrm{\$}160$ for each television set sold and there is a fixed cost of $\mathrm{\$}80000$, how should the manufacturer set the size of the rebate to maximize its profit?

For this, I received an answer of 10, which was incorrect.