SOLUTION: T(x)=-3x^2+240x-1,800 How many microwaves must be produced and sold to achieve a profit of $3,000

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Question 1170314: T(x)=-3x^2+240x-1,800
How many microwaves must be produced and sold to achieve a profit of $3,000
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

T%28x%29=-3x%5E2%2B240x-1800
T%28x%29=3000
3000=-3x%5E2%2B240x-1800
0=-3x%5E2%2B240x-1800-3000
0=-3x%5E2%2B240x-4800 both sides multiply by -1
0=3x%5E2-240x%2B4800
0=3%28x%5E2-80x%2B1600%29
0=3%28x%5E2-80x%2B40%5E2%29
0=3%28x-40%29%5E2%29
=>x=40
answer: 40 microwaves must be produced and sold to achieve a profit of $3000