SOLUTION: Please help me solve 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

Algebra ->  Customizable Word Problem Solvers  -> Unit conversion -> SOLUTION: Please help me solve 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       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1009533: Please help me solve 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?
Thank you.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
60000=500p-p%5E2
p%5E2-500p%2B60000=0
p%5E2-500p%2B60000=0...........factor
p%5E2-300p-200p%2B60000=0
%28p%5E2-300p%29-%28200p-60000%29=0
p%28p-300%29-200%28p-300%29=0
%28p-300%29%28p-200%29+=+0
solutions:
p=300 or p=200
so, p=200 is the fewest number of paintings the artist can sell to make a profit of at least $60000