Exam 19: Linear Programming

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What is the objective function?

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For the production combination of 600 bagels and 800 croissants, which resource is "slack" (not fully used)?

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What is the assembly time constraint (in hours)?

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What is the constraint for resource I?

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Which of the following is not a feasible purchase combination?

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What is the objective function?

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If a single optimal solution exists to a graphical LP problem, it will exist at a corner point.

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What are profits for the optimal production combination?

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A small firm makes three products, which all follow the same three step process, which consists of milling, inspection, and drilling.Product A requires 6 minutes of milling, 5 minutes of inspection, and 4 minutes of drilling; product B requires 2.5 minutes of milling, 2 minutes of inspection, and 2 minutes of drilling; and product C requires 5 minutes of milling, 4 minutes of inspection, and 8 minutes of drilling.The department has 20 hours available during the next period for milling, 15 hours for inspection, and 24 hours for drilling.Product A contributes $6.00 per unit to profit, product B contributes $4.00 per unit, and product C contributes $10.00 per unit. Use the following computer output to find the optimum mix of products in terms of maximizing contributions to profits for the next period. PROBLEM TITLE: LINEAR PROGRAMMING PROBLEM IS A MAX WITH 3 VARIABLES AND 3 CONSTRAINTS. A small firm makes three products, which all follow the same three step process, which consists of milling, inspection, and drilling.Product A requires 6 minutes of milling, 5 minutes of inspection, and 4 minutes of drilling; product B requires 2.5 minutes of milling, 2 minutes of inspection, and 2 minutes of drilling; and product C requires 5 minutes of milling, 4 minutes of inspection, and 8 minutes of drilling.The department has 20 hours available during the next period for milling, 15 hours for inspection, and 24 hours for drilling.Product A contributes $6.00 per unit to profit, product B contributes $4.00 per unit, and product C contributes $10.00 per unit. Use the following computer output to find the optimum mix of products in terms of maximizing contributions to profits for the next period. PROBLEM TITLE: LINEAR PROGRAMMING PROBLEM IS A MAX WITH 3 VARIABLES AND 3 CONSTRAINTS.      A small firm makes three products, which all follow the same three step process, which consists of milling, inspection, and drilling.Product A requires 6 minutes of milling, 5 minutes of inspection, and 4 minutes of drilling; product B requires 2.5 minutes of milling, 2 minutes of inspection, and 2 minutes of drilling; and product C requires 5 minutes of milling, 4 minutes of inspection, and 8 minutes of drilling.The department has 20 hours available during the next period for milling, 15 hours for inspection, and 24 hours for drilling.Product A contributes $6.00 per unit to profit, product B contributes $4.00 per unit, and product C contributes $10.00 per unit. Use the following computer output to find the optimum mix of products in terms of maximizing contributions to profits for the next period. PROBLEM TITLE: LINEAR PROGRAMMING PROBLEM IS A MAX WITH 3 VARIABLES AND 3 CONSTRAINTS.      A small firm makes three products, which all follow the same three step process, which consists of milling, inspection, and drilling.Product A requires 6 minutes of milling, 5 minutes of inspection, and 4 minutes of drilling; product B requires 2.5 minutes of milling, 2 minutes of inspection, and 2 minutes of drilling; and product C requires 5 minutes of milling, 4 minutes of inspection, and 8 minutes of drilling.The department has 20 hours available during the next period for milling, 15 hours for inspection, and 24 hours for drilling.Product A contributes $6.00 per unit to profit, product B contributes $4.00 per unit, and product C contributes $10.00 per unit. Use the following computer output to find the optimum mix of products in terms of maximizing contributions to profits for the next period. PROBLEM TITLE: LINEAR PROGRAMMING PROBLEM IS A MAX WITH 3 VARIABLES AND 3 CONSTRAINTS.

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Which of the following is not a component of the structure of a linear programming model?

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A manager must decide on the mix of products to produce for the coming week.Product A requires three minutes per unit for molding, two minutes per unit for painting, and one minute per unit for packing.Product B requires two minutes per unit for molding, four minutes per unit for painting, and three minutes per unit for packing.There will be 600 minutes available for molding, 600 minutes for painting, and 420 minutes for packing.Both products have profits of $1.50 per unit. (A) What combination of A and B will maximize profit? (B) What is the maximum possible profit? (C) How much of each resource will be unused for your solution?

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LP problems must have a single goal or objective specified.

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Coordinates of all corner points are substituted into the objective function when we use the approach called:

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For the production combination of 1,400 A-100's and 900 B-200's which resource is "slack" (not fully used)?

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For the production combination of 0 American and 400 British, which resource is "slack" (not fully used)?

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Non-zero slack or surplus is associated with a binding constraint.

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What is the constraint for resource II?

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The equation 3xy = 9 is linear.

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What are the corner points of the feasible solution space?

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Is the production combination 15 A's and 15 B's feasible?

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