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The total profit function, P(x), for a company producing x thousand units is given by P(x)=−2x²+38x−120. Find the values of x for which the company makes a profit. [Hint: The company makes a profit when P(x)>0.] Explain and justify your answer.

Solve -2x^2 + 38x -120 = 0 This gives x = 4 and x = 15. So the company makes a profit when the range of x is greater than 4 and less than 15. The graph of function is a flipped U which pass through x axis at 4 and x = 15. Above the x-axis is the area of profit.

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PLEASE HURRY! I WILL MARK BRAINLIEST! The total profit function,​ P(x), for a company producing x thousand units is given by P(x)=−2x²+38x−120. Find the values of x for which the company makes a profit. [Hint: The company makes a profit when P(x)>0.] Explain and justify your answer.

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PLEASE HURRY! I WILL MARK BRAINLIEST!

The total profit function, P(x), for a company producing x thousand units is given by P(x)=−2x²+38x−120. Find the values of x for which the company makes a profit. [Hint: The company makes a profit when P(x)>0.] Explain and justify your answer.