SOLUTION: The profit P, in dollars, gained by selling x computers is modeled by the equation P = -5x^2 +1000x + 5000. How many computers must be sold to obtain a profit of $55,000.00?

Question 210196: The profit P, in dollars, gained by selling x computers is modeled by the equation
P = -5x^2 +1000x + 5000. How many computers must be sold to obtain a profit of $55,000.00?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Plug in

Subtract 55000 from both sides.

Combine like terms.

Notice that the quadratic is in the form of where , , and

Let's use the quadratic formula to solve for "x":

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the only solution is

This means that 100 computers must be sold to reach a profit of $55,000

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