SOLUTION: The total profit function P(x) for a company producing x thousands of pens is given by P(x) = -2x2 + 26x + 44. Find the values of x for which the company makes a profit. [Hint: T

Question 1187664: The total profit function P(x) for a company producing x thousands of pens is
given by P(x) = -2x2 + 26x + 44. Find the values of x for which the company makes a profit. [Hint: The company makes a profit when P(x) > 0].
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

The company makes a profit when
...........simplify

using quadratic formula we get: or
so, if
........exact solution
approximately

disregard negative value since
The company makes a profit when

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

To answer the question, solve this quadratic equation

            -2x^2 + 26x + 44 = 0.

and find its real roots.

The domain you are looking for is the set of positive real numbers between the roots.

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