SOLUTION: The profit, P, in dollars, of an amusement park is modelled by P = −25x^2 + 950x + 3000, where x is the ticket price in dollars. Demonstrate the knowledge of completing the squa

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The profit, P, in dollars, of an amusement park is modelled by P = −25x^2 + 950x + 3000, where x is the ticket price in dollars. Demonstrate the knowledge of completing the squa      Log On


   

Question 1172916: The profit, P, in dollars, of an amusement park is modelled by P = −25x^2 + 950x + 3000, where x is the
ticket price in dollars. Demonstrate the knowledge of completing the square to determine the maximum profit
and the charge per ticket to make the maximum profit. What ticket price(s) will generate a profit of $7125?
pls i need help
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

You want me demonstrate my knowledge ?



Hello,  are you  OK  there,  in the opposite side of the  Internet ?


Let me remind you that the brain,  which is inside your head,  is given to you to think what you are doing,  writing and posting.




Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Getting started P=-25%28x%5E2-38x-120%29

and completing the square inside the grouping, P=-25%28x%5E2-38x%2B%2838%2F2%29%5E2-120-%2838%2F2%29%5E2%29

P=-25%28x%5E2-38x%2B19%5E2-120-19%5E2%29

You can continue and finish from here.