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50 POINTS I NEED THIS ASAP
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.

Respuesta :

Answer:

(5,15)

Step-by-step explanation:

Check x = 0,the P(x)=-225 : not an inequality solution

Check x = 10 to get -3*-5*5> 0 solutions in 5< x < 10

Check x = 20 to get -3*+5*+15<0 so no solutions in (15,+inf)

Ans: Profit for (5,15)