1. Find Weekly Revenue

If a manufacturer charges q dollars each for footballs, then he can sell 3000 - 150q footballs per week. Find a polynomial R(q) that represents the revenue for one week. Find the weekly revenue if the price is $8 for each football. This is the answer that it is showing r(q)= -150q^2 + 3000q, 14,400 2. Originally Posted by magentarita If a manufacturer charges q dollars each for footballs, then he can sell 3000 - 150q footballs per week. Find a polynomial R(q) that represents the revenue for one week. Find the weekly revenue if the price is$8 for each football.

This is the answer that it is showing r(q)= -150q^2 + 3000q, 14,400
Indeed

You sell x footballs, your profit is x*q, with q Dollars for each football

One football is 20$, you sell 8, you get 20$*8 = 160$The manufacturer sells 3000 - 150q = x footballs, he gets q$ a piece

=> (3000-150q)*q = -150q^2 + 3000q = R(q)

Imagine q = 8$=> R(q) = R(8) = -150*8^2 + 3000*8 = 14400 -> 14400$

3. ok...

Originally Posted by Rapha
Indeed

You sell x footballs, your profit is x*q, with q Dollars for each football

One football is 20$, you sell 8, you get 20$*8 = 160$The manufacturer sells 3000 - 150q = x footballs, he gets q$ a piece

=> (3000-150q)*q = -150q^2 + 3000q = R(q)

Imagine q = 8$=> R(q) = R(8) = -150*8^2 + 3000*8 = 14400 -> 14400$
Thank you so much. You are great.