Homework Help: Algebra 2

Posted by Carolyn on Monday, April 23, 2012 at 7:06pm.

The Pumpkin Patch Doll Company has detrmined that the profit the company makes on Pumpkin Patch Dolls if given by the equation y=3x2 + 720 x - 17800, where y is the profit measured in dollars and x is the number of Pumpkin Patch dolls. Find the number of dolls that will maximize the company's profit. What is the profit?

Algebra 2 - Damon, Monday, April 23, 2012 at 7:43pm
You have a sign mistake. Your profit goes to infinity as number of dolls go to infinity. However here is the method.

y = 3 x^2 + 720 x -17800

3 x^2 + 720 x = y + 17800

x^2 + 240 x = y/3 + 5933.33

x^2 + 240 x + 14400 = y/3 + 20333

(x+120)^2 = y/3 + 20333

minimum at x = -120
this is nonsense because your problem statement has a sign error.

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