A manufacture has been selling 1200 television sets a week @ $390 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. b) How large rebate should the company offer to a buyer, in order to maximize its Revenue? c) If the weekly cost function is 78,000+130x, how should it set the size of the rebate to maximize its Profits? Thank you 2. What's a "21 rebate"? 3. ## Reply to question I'm not sure if it is important, but I think it just means 21% discount or$21 off of each sell or offer. I hope that helps.

4. Originally Posted by stepho_145
A manufacture has been selling 1200 television sets a week @ \$390 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.

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

c) If the weekly cost function is 78,000+130x, how should it set the size of the rebate to maximize its Profits?
It really would help to KNOW what the 21 is. Guesssing is not a great business.

So, if d = discount, then p(d) = (1200+d*(210/21))*(390 - d) looks like weekly income, doesn't it? You should be able to find the maximum value of p(d).