A COMPANY THAT PRODUCES HANDBAGS HAS FOUND THAT REVENUE FROM THE...

319) - BEGINNING AND INTERMEDIATE ALGEBRA 5TH EDITION LIAL TEST BANK 319) - BEGINNING AND INTERMEDIATE ALGEBRA 5TH EDITION LIAL TEST BANK
BEGINNING AND INTERMEDIATE ALGEBRA 5TH EDITION LIAL TEST BANK
319) A company that produces handbags has found that revenue from the sales of the handbags is $8 per handbag, less sales costs of $100. Production costs are $125, plus $7 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. A) (a) R = 8x - 100; (b) C = 75 + 9x; (c) P = (8x - 100) - (75 + 9x) = x - 125; x > 125; (d) To make a profit, more than 125 handbags must be produced and sold. B) (a) R = 8x + 100; (b) C = 125 + 7x; (c) P = (8x + 100) - (125 + 7x) = x - 25; x > 25; (d) To make a profit, more than 25 handbags must be produced and sold. C) (a) R = 8x - 100; (c) P = (8x - 100) - (125 + 7x) = x - 225; x > 225; (d) To make a profit, more than 225 handbags must be produced and sold. D) (a) R = 8x - 100; (b) C = 125 - 7x; (c) P = (8x - 100) - (125 - 7x) = x - 175; x > 175; (d) To make a profit, more than 175 handbags must be produced and sold.