Question

Galina runs a bakery, where she sells packages of 4 dozen cookies for $24.96 per package. The amount of money she makes by selling x packages is represented by the function f(x)=24.96x, and her cost for making each package is g(x)=0.04x2+4x+71.If profit is equal to sales minus cost, which function represents her profit, p?

Answer 1

p(x) = f(x) - g(x) = -0.04x² + 20.96x - 71

Step-by-step explanation:

The sales are given by f(x) = 24.96x and the cost are represented by g(x) = 0.04x² + 4x + 71.

Then, the profit is equal to

p(x) = f(x) - g(x)

p(x) = 24.96x - (0.04x² + 4x + 71)

p(x) = 24.96x - 0.04x² - 4x - 71

p(x) = -0.04x² + 20.96x - 71

Therefore, the answer is

p(x) = f(x) - g(x) = -0.04x² + 20.96x - 71