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##### CHAPTER 2 LINEAR PROGRAMMING: BASIC CONCEPTS

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Question;2-45 For the;products A, B, C, and D, which of the following could be a linear programming;objective function?;a. P = 1A;+ 2B +3C + 4D.;b. P = 1A + 2BC +3D.;c. P = 1A + 2AB +3ABC;+ 4ABCD.;d. P = 1A + 2B/C +3D.;e. All of the above.;2-46 After the data;is collected the next step to formulating a linear programming model is to;a. identify;the decision variables.;b. identify the objective function.;c. identify the constraints.;d. specify the parameters of the;problem.;e. None of the above.;2-47 When using the;graphical method, the region that satisfies all of the constraints of a linear;programming problem is called the;a. optimum solution space.;b. region of optimality.;c. profit maximization space.;d. feasible;region.;e. region of nonnegativity.;2-48 Solving linear;programming problems graphically;a. is possible with any number of;decision variables.;b. provides;geometric intuition about what linear programming is trying to achieve.;c. will always result in an optimal;solution.;d. All of the above.;e. None of the above.;2-49 Which;objective function has the same slope as this one: 4x + 2y = 20.;a. 2x +4y = 20.;b. 2x ? 4y = 20.;c. 4x ? 2y = 20.;d. 8x+ 8y = 20.;e. 4x + 2y;= 10.;2-50 Given the;following 2 constraints, which solution is a feasible solution for a;maximization problem?;(1) 14x1 + 6x2;? 42;(2) x1;? x2? 3;a. (x1, x2;= (1,5).;b. (x1, x2;= (5,1).;c. (x1, x2;= (4,4).;d. (x1, x2) = (2,1).;e. (x1, x2;= (2,6).;2-51 Which of the;following constitutes a simultaneous solution to the following 2 equations?;(1) 3x1 + 4x2;= 10;(2) 5x1 + 4x2;= 14;a. (x1, x2;= (2, 0.5).;b. (x1, x2;= (4, 0.5).;c. (x1, x2) = (2, 1).;d. x1 = x2.;e. x2 = 2x1..;2-52 Which of the;following constitutes a simultaneous solution to the following 2 equations?;(1) 3x1 + 2x2;= 6;(2) 6x1 + 3x2;= 12;a. (x1, x2;= (1,1.5).;b. (x1, x2;= (0.5, 2).;c. (x1, x2;= (0,3).;d. (x1, x2) = (2,0).;e. (x1, x2;= (0,0).

Paper#55043 | Written in 18-Jul-2015

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