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CHAPTER 2 LINEAR PROGRAMMING: BASIC CONCEPTS

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Question;2-53 What is the optimal;solution for the following problem?;Maximize P = 3x + 15 y;subject to 2x + 4y;? 12;5x + 2y;? 10;and x? 0, y? 0.;a. (x, y) = (2, 0).;b. (x, y);= (0, 3).;c. (x, y) = (0, 0).;d. (x, y) = (1, 5).;e. None of the above.;2-54 Given the;following 2 constraints, which solution is a feasible solution for a;minimization problem?;(1) 14x1 + 6x2;? 42;(2) x1;+ 3x2? 6;a. (x1, x2;= (0.5, 5).;b. (x1, x2;= (0, 4).;c. (x1, x2) = (2, 5).;d. (x1, x2;= (1, 2).;e. (x1, x2;= (2, 1).;2-55 What is the;optimal solution for the following problem?;Minimize C = 3x + 15y;subject to 2x + 4y;? 12;5x + 2y;? 10;and x? 0, y? 0.;a. (x, y) = (0, 0).;b. (x, y) = (0, 3).;c. (x, y) = (0, 5).;d. (x, y) = (1, 2.5).;e. (x, y);= (6, 0).;Questions 2-56 through 2-60 refer to the following;The;production planner for Fine Coffees, Inc. produces two coffee blends: American;(A) and British (B). He can only get 300;pounds of Colombian beans per week and 200 pounds of Dominican beans per;week. Each pound of American blend;coffee requires 12 ounces of Colombian beans and 4 ounces of Dominican beans;while a pound of British blend coffee uses 8 ounces of each type of bean. Profits for the American blend are $2.00 per;pound, and profits for the British blend are $1.00 per pound.;2-56 What is the;objective function?;a. P = A + 2B.;b. P = 12A + 8B.;c. P = 2A;+ B.;d. P = 8A + 12B.;e. P = 4A + 8B.;2-57 What is the;constraint for Colombian beans?;a. A + 2B? 4,800.;b. 12A + 8B;? 4,800.;c. 2A + B? 4,800.;d. 8A + 12B? 4,800.;e. 4A + 8B? 4,800.;2-58 What is the;constraint for Dominican beans?;a. 12A + 8B? 4,800.;b. 8A + 12B? 4,800.;c. 4A + 8B;? 3,200.;d. 8A + 4B? 3,200.;e. 4A + 8B? 4,800.;2-59 Which of the;following is not a feasible solution?;a. (A, B) = (0, 0).;b. (A, B) = (0, 400).;c. (A, B) = (200, 300).;d. (A, B) = (400, 0).;e. (A, B);= (400, 400).;2-60 What is the;weekly profit when producing the optimal amounts?;a. $0.;b. $400.;c. $700.;d. $800.;e. $900.

 

Paper#55044 | Written in 18-Jul-2015

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