Question

Anna made and sold x ceramic vases one week. Her profit, P, in dollars is calculated using the formula P = R - C . Where R represents her revenue and C represents her costs. If R = 25x - 0.5x ^ 2 C = 100 + 5x which expression represents her profit in dollars?

Answer 1

-0.5x² + 20x + 100

Explanation:

Given:

R = 25x - 0.5x²

C = 100 + 5x

P = R - C

Where,

P = profits

R = Revenue

C = Cost

which expression represents her profit in dollars?

P = R - C

R = 25x - 0.5x²

C = 100 + 5x

= 25x - 0.5x² -(-100 + 5x )

= 25x - 0.5x² + 100 - 5x

= -0.5x² + 20x + 100

The expression which represents her profit in dollars is -0.5x² + 20x + 100