Question

The cost, in dollars, of making x cups of lemonade is x+25. The predicted revenue is 12+2x dollars. Write a polynomial that represents the profit of selling x cups of lemonade. If you sold 20 cups of lemonade, will you make a profit? (yes or no)

Answer 1

P = x - 13

Yes, you will make a profit

Explanation:

Given;

cost of making x cups, C = x + 25

predicted revenue, R = 12 + 2x

Profit of selling x cups is given by;

P = R - C

P = (12 + 2x) - (x + 25)

P = 12 + 2x - x - 25

P = x - 13

When 20 cups of lemonade are sold, the profit made can be estimated using the profit function above;

P = x - 13

P = 20 - 13

P = 7

Thus, you will make a profit