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
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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
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check the answer
60000 = 500(200) - 200^2
60000 = 100000 - 40000
60000 = 60000
our answer checks
