SOLUTION: How do I set up this problem??? "An artist makes a profit of (500p - p^2) dollars from selling p paintings. What is the fewest number of paintings the artist can sell to make a pro

Question 990870: How do I set up this problem??? "An artist makes a profit of (500p - p^2) dollars from selling p paintings. What is the fewest number of paintings the artist can sell to make a profit of at least $60,000?"
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
60000 = 500p - p^2
p^2 - 500p + 60000 = 0
(p - 200) * (p - 300) = 0
p is 200 or 300
We are asked for the fewest number of paintings the artist can sell to make a profit of at least $60,000, therefore
the answer is 200 paintings
*******************************************
check the answer
60000 = 500(200) - 200^2
60000 = 100000 - 40000
60000 = 60000
our answer checks

RELATED QUESTIONS
Please help me solve this problem. An artist makes a profit of (500p-p^2) dollars from (answered by MathLover1)

Can someone help me solve this problem? I am having a hard time with it, can you explain... (answered by richwmiller)

Assume the profit earned by an artist in any given year is governed by the function... (answered by stanbon)

Assume the profit earned by an artist in any given year is governed by the function: P(n) (answered by stanbon)

Assume the profit earned by an artist in any given year is governed by the function... (answered by ankor@dixie-net.com)

An artist sells earrings from a booth at a fair. Rent for the booth is $250. The artist... (answered by solver91311)

The profit function for the Recklus Hang Gliding service is P(x)=0.4x^2+fx-m, where f... (answered by katealdridge)

A model for a company's revenue from selling a software package is r = -2.5p (squared)... (answered by stanbon)

Could you help me with this problem. I don't understand what they are asking me to do.... (answered by ankor@dixie-net.com)