Solve the problem.A company that produces handbags has found that revenue from the sales of the handbags is $10 per handbag, less sales costs of $100. Production costs are $125, plus $9 per handbag. Profit (P) is given by revenue (R) less cost (C), so the company must find the production level x that makes P > 0, that is, R - C > 0.(a) Write an expression for revenue, R, letting x represent the production level (number of handbags to be produced.)(b) Write an expression for production costs C in terms of x.(c) Write an expression for profit P, and then solve the inequality P > 0.(d) Describe the solution in terms of the problem.

Question

A. (a) R = 10x - 100;
(b) C = 75 + 11x;
(c) P = (10x - 100) - (75 + 11x) = x - 125; x > 125;
(d) To make a profit, more than 125 handbags must be produced and sold.
B. (a) R = 10x + 100;
(b) C = 125 + 9x;
(c) P = (10x + 100) - (125 + 9x) = x - 25; x > 25;
(d) To make a profit, more than 25 handbags must be produced and sold.
C. (a) R = 10x - 100;
(b) C = 125 - 9x;
(c) P = (10x - 100) - (125 - 9x) = x - 175; x > 175;
(d) To make a profit, more than 175 handbags must be produced and sold.
D. (a) R = 10x - 100;
(b) C = 125 + 9x;
(c) P = (10x - 100) - (125 + 9x) = x - 225; x > 225;
(d) To make a profit, more than 225 handbags must be produced and sold.

Answer 1

Answer: D