Exam 22: Linear Programming

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________ is the amount by which the left-hand side falls short of the right-hand side in a linear programming model.

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The objective function Maximize Z = 3x2 = 4y is appropriate.

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What are the assumptions of linear programming? Provide examples of each.

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If merely rounding up or rounding down a result for a decision variable is not sufficient when they must be expressed in whole units,then a decision maker might instead use ________ to analyze the situation.

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In linear programming,each parameter is assumed to be known with certainty.

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________ is useful for allocating scarce resources among competing demands.

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A binding constraint is the amount by which the left-hand side falls short of the right-hand side.

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What is the meaning of a slack or surplus variable?

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A site manager has three day laborers available for eight hours each and a burning desire to maximize his return on their wages.The site manager uses linear programming to assign them to two tasks and notes that he has enough work to occupy 21 labor hours.The linear program that the site manager has constructed has

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A constraint is a limitation that restricts the permissible choices.

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The interval over which the right-hand-side parameter can vary while its shadow price remains valid is the ________.

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A manager is interested in deciding production quantities for products A,B,and C.He has an inventory of 20 tons each of raw materials 1,2,3,and 4 that are used in the production of products A,B,and C.He can further assume that he can sell all of what he makes.Which of the following statements is correct?

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The graphical method is a practical method for solving product mix problems of any size,provided the decision maker has sufficient quantities of graph paper.

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The assumption of ________ allows a decision maker to combine the profit from one product with the profit from another to realize the total profit from a feasible solution.

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________ represent choices the decision maker can control.

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The simplex method is an interactive algebraic procedure for solving linear programming problems.

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Which of the following statements regarding linear programming is NOT true?

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________ occurs in a linear programming problem when the number of nonzero variables in the optimal solution is fewer than the number of constraints.

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A parameter is a region that represents all permissible combinations of the decision variables in a linear programming model.

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What are some potential abuses or misuses of linear programming (beyond violation of basic assumptions)?

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