Question

The profit when selling 'x' pairs of shoes is P(x)=-4x^2+32x-39. How many pairs of shoes should be sold in order to maximize the profit

Answer 1

Answer: $4$ pairs

Step-by-step explanation:

Given

Profit on selling 'x' pairs of shoes is $P(x)=-4x^2+32x-39$

Find the derivative of the function to find out the critical points

$\Rightarrow -8x+32=0\\\Rightarrow x=4$

Thus, for 4 pair of shoes profit is maximize.