Exam 2: Introduction to Optimization and Linear Programming

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This graph shows the feasible region (defined by points ACDEF) and objective function level curve (BG) for a maximization problem. Which point corresponds to the optimal solution to the problem? ​ This graph shows the feasible region (defined by points ACDEF) and objective function level curve (BG) for a maximization problem. Which point corresponds to the optimal solution to the problem? ​   ​

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D

Solve the following LP problem graphically by enumerating the corner points. Solve the following LP problem graphically by enumerating the corner points.

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Obj = 48. 00
X1 = 0. 00
X2 = 16. 00

The number of units to ship from Chicago to Memphis is an example of a(n)

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A company makes two products, X1 and X2. They require at least 20 of each be produced. Which set of lower bound constraints reflect this requirement?

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Which of the following special conditions in an LP model represent potential errors in the mathematical formulation?

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A set of values for the decision variables that satisfy all the constraints and yields the best objective function value is

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Solve the following LP problem graphically using level curves. Solve the following LP problem graphically using level curves.

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The desire to maximize profits is an example of a(n)

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If constraints are added to an LP model the feasible solution space will generally

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The objective function for a LP model is 3 X1 + 2 X2. If X1 = 20 and X2 = 30, what is the value of the objective function?

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A facility produces two products. The labor constraint (in hours) is formulated as: 350x1+300x2 ≤ 10,000. The number 10,000 represents

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​How much money should an individual withdraw each year from various retirement accounts is an example of a constraint.

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A diet is being developed which must contain at least 100 mg of vitamin C. Two fruits are used in this diet. Bananas contain 30 mg of vitamin C and Apples contain 20 mg of vitamin C. The diet must contain at least 100 mg of vitamin C. Which of the following constraints reflects the relationship between Bananas, Apples and vitamin C?

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Linear programming problems have

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The following linear programming problem has been written to plan the production of two products. The company wants to maximize its profits. X1 = number of product 1 produced in each batch X2 = number of product 2 produced in each batch The following linear programming problem has been written to plan the production of two products. The company wants to maximize its profits. X<sub>1</sub> = number of product 1 produced in each batch X<sub>2</sub> = number of product 2 produced in each batch   How many units of resource two (the second constraint) are unutilized if the company produces 10 units of product 1 and 5 units of product 2? How many units of resource two (the second constraint) are unutilized if the company produces 10 units of product 1 and 5 units of product 2?

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The following linear programming problem has been written to plan the production of two products. The company wants to maximize its profits. X1 = number of product 1 produced in each batch X2 = number of product 2 produced in each batch The following linear programming problem has been written to plan the production of two products. The company wants to maximize its profits. X<sub>1</sub> = number of product 1 produced in each batch X<sub>2</sub> = number of product 2 produced in each batch   How much profit is earned if the company produces 10 units of product 1 and 5 units of product 2? How much profit is earned if the company produces 10 units of product 1 and 5 units of product 2?

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The third step in formulating a linear programming problem is

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​The best way of solving LP problems is to apply managerial intuition regarding the levels of decision variables.

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A linear formulation means that:

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A company uses 4 pounds of resource 1 to make each unit of X1 and 3 pounds of resource 1 to make each unit of X2. There are only 150 pounds of resource 1 available. Which of the following constraints reflects the relationship between X1, X2 and resource 1?

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