SOLUTION: The cost (C) for a company to produce x widgets is given by C(x) = 5250 + 7.0 x. The company has determined that the profit (P) for x widgets is given by P(x) = − 0.02 x2 + 38.0

Algebra ->  Graphs -> SOLUTION: The cost (C) for a company to produce x widgets is given by C(x) = 5250 + 7.0 x. The company has determined that the profit (P) for x widgets is given by P(x) = − 0.02 x2 + 38.0      Log On


   

Question 1145516: The cost (C) for a company to produce x widgets is given by C(x) = 5250 + 7.0 x. The company has determined that the profit (P) for x widgets is given by P(x) = − 0.02 x2 + 38.0 x − 5250.
(a) What is the Cost (C) to produce 500 widgets and what is the Profit (P)? Show work.

(b) Find the vertex of the profit function P(x) using algebra. Your answer should be a point (x,P). Describe what this point represents? Show work.
I got A down its the profit Im having trouble with and B
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
------------------
------------------
(b) Find the vertex of the profit function P(x) using algebra. Your answer should be a point (x,P). Describe what this point represents? Show work.

I got A down its the profit Im having trouble with and B
------------------------
------------------------

P=-0.02x%5E2%2B38x-5250

You could use this for vertex:
x=%28-38%29%2F%28-0.02%2A2%29=950
-
P%28950%29=-0.02%2A950%5E2%2B38%2A950-5250=12800