Question

The profit when selling ‘x' pairs of shoes is defined by the function P(x)=-8x^(2)+80x-192 How many pairs of shoes should be sold to maximize the profit?

Answer 1

6

Explanation:

P(x) = -8x² + 80x - 192

-8(x² - 10x + 24) = 0

x² - 10x + 24 = 0

x² - 4x - 6x + 24 = 0

x(x - 4) - 6(x -4) = 0

(x - 4)(x - 6) = 0

x = 4, x = 6

thus to maximize the profit,

x = 6 i.e. 6 pairs of shoes should be sold