SOLUTION: The monthly profit P (in dollars) that Jim makes on the sale of x mobile homes is determined by the formula P = x^2 + 5x – 50. Find the values of x for which Jim makes profit.

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Question 211670: The monthly profit P (in dollars) that Jim makes on the sale of x mobile homes is determined by the formula P = x^2 + 5x – 50. Find the values of x for which Jim makes profit.
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
P = x^2 + 5x – 50
.
Find out the times when profit is zero:
P = x^2 + 5x – 50
0 = x^2 + 5x – 50
0 = (x+10)(x-5)
x = {-10, 5}
You can throw out the negative answer (you can't sell negative mobile homes) leaving you with:
x = 5
.
Therefore,
x > 5 is your answer