# Find Weekly Revenue

• Nov 7th 2008, 07:22 PM
magentarita
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
• Nov 7th 2008, 07:50 PM
Rapha
Quote:

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\$
• Nov 8th 2008, 07:46 AM
magentarita
ok...
Quote:

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.