Exam 12: Linear Optimization Models
Exam 1: Introduction35 Questions
Exam 2: Descriptive Statistics65 Questions
Exam 3: Data Visualization47 Questions
Exam 4: Descriptive Data Mining44 Questions
Exam 5: Probability: an Introduction to Modeling Uncertainty36 Questions
Exam 6: Statistical Inference47 Questions
Exam 7: Linear Regression46 Questions
Exam 8: Time Series Analysis and Forecasting41 Questions
Exam 9: Predictive Data Mining38 Questions
Exam 10: Spreadsheet Models49 Questions
Exam 11: Monte Carlo Simulation41 Questions
Exam 12: Linear Optimization Models38 Questions
Exam 13: Integer Linear Optimization Models42 Questions
Exam 14: Nonlinear Optimization Models46 Questions
Exam 15: Decision Analysis40 Questions
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In a linear programming model, the __________ assumption plus the nonnegativity constraints mean that decision variables can take on any value greater than or equal to zero.
(Multiple Choice)
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Rob is a financial manager with Sharez, an investment advisory company. He must select specific investments-for example, stocks and bonds-from a variety of investment alternatives. Which of the following statements is most likely to be the objective function in this scenario?
(Multiple Choice)
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The reduced cost for a decision variable that appears in a Sensitivity Report indicates the change in the optimal objective function value that results from changing the right-hand side of the nonnegativity constraint from
(Multiple Choice)
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Suppose that profit for a particular product is calculated using the linear equation: Profit = 20S + 3D. Which of the following combinations of S and D would yield a maximum profit?
(Multiple Choice)
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A variable subtracted from the left-hand side of a greater-than-or-equal to constraint to convert the constraint into an equality is known as a(n)
(Multiple Choice)
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A(n) __________ refers to a set of points that yield a fixed value of the objective function.
(Multiple Choice)
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A controllable input for a linear programming model is known as a
(Multiple Choice)
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The reduced cost for a decision variable that appears in a Sensitivity Report refers to the __________ of the nonnegativity constraint for that variable.
(Multiple Choice)
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The points where constraints intersect on the boundary of the feasible region are termed as the
(Multiple Choice)
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__________ is the situation in which no solution to the linear programming problem satisfies all the constraints.
(Multiple Choice)
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Zen, Inc. manufactures two types of products, the G.1 and the T.1 models. The manufacturing process consists of two principal departments: production and assembly. The production department has 58 skilled workers, each of whom works 7 hours per day. The assembly department has 25 workers, who also work a 7-hour shift. On an average, to produce a G.1 model, Zen, Inc. requires 3.5 labor hours for production and 2 labor hours for assembly. The T.1 model requires 4 labor hours for production and 1.5 labor hours in assembly. The company anticipates selling at least 1.5 times as many T.1 models as G.1 models. The company operates five days per week and makes a net profit of $130 on the G.1 model, and $150 on the T.1 model. Zen, Inc. wants to determine how many of each model should be produced on a weekly basis to maximize net profit. Formulate the problem.
Let G = the number of G.1 product produced each week.
Let T = the number of T.1 product produced each week.
Maximize 130G + 150T
s.t.
production's labor constraint 3.5G + 4T ≤ 2030
assembly's labor constraint 2G + 1.5T ≤ 875
(Essay)
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Zen, Inc. manufactures two types of products, the G.1 and the T.1 models. The manufacturing process consists of two principal departments: production and assembly. The production department has 58 skilled workers, each of whom works 7 hours per day. The assembly department has 25 workers, who also work a 7-hour shift. On an average, to produce a G.1 model, Zen, Inc. requires 3.5 labor hours for production and 2 labor hours for assembly. The T.1 model requires 4 labor hours for production and 1.5 labor hours in assembly. The company anticipates selling at least 1.5 times as many T.1 models as G.1 models. The company operates five days per week and makes a net profit of $130 on the G.1 model, and $150 on the T.1 model. Zen, Inc. wants to determine how many of each model should be produced on a weekly basis to maximize net profit. Solve Using the Excel Solver tool.
(Essay)
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A canned food manufacturer has its manufacturing plants in three locations across a state. Their product has to be transported to 3 central distribution centers, which in turn disperse the goods to 72 stores across the state. Which of the following visualization tools could help understand this problem better?
(Multiple Choice)
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The term __________ refers to the expression that defines the quantity to be maximized or minimized in a linear programming model.
(Multiple Choice)
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In linear programming models of real problems, the occurrence of an unbounded solution means that the
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