# Thread: Profit

1. ## Profit

The profit from making and selling x units of a product is given by P(x)= .05x^6+16x-600 dollars. How many units should be produced and sold in order to make a profit of $2200? 2. P(x)= .05x^6+16x-600 -----?? 0.05x^6? I assume that should be P(x) = 0.05x^2 +16x -600 So if profit =$2200,

2200 = 0.05x^2 +16x -600
0.05x^2 +16x -600 -2200
0.05x^2 +16x -2800 = 0
Divide both sides by 0.05,
x^2 +320x -56,000 = 0
Using the Quadratic Formula,
x = {-320 +,-sqrt[(320)^2 -4(1)(-56,000)]} / 2(1)
x = {-320 +,-571.3} /2
x = 125.7 or -445.7 units

Reject the x = -445.7 because negative number of units cannot be produced.

Therefore, produce and sell 126 units to get about \$2200 profit.

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