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1. Which of the following could be a linear programming objective function? 2. Which of the following could not be a linear programming problem constraint? 3. Types of integer programming models are __ 4. The production manager for Beer etc. produces 2 kinds of beer: light (L) and dark (D). Two resources used to produce beer are malt and wheat. He can obtain at most 4800 oz of malt per week and at most 3200 oz of wheat per week respectively. Each bottle of light beer requires 12 oz of malt and 4 oz of wheat, while a bottle of dark beer uses 8 oz of malt and 8 oz of wheat. Profits for light beer are $2 per bottle, and profits for dark beer are $1 per bottle. If the production manager decides to produce of 0 bottles of light beer and 400 bottles of dark beer, it will result in slack of 5. The reduced cost (shadow price) for a positive decision variable is 0 TRUE/FALSE 6. Decision variables 7. A plant manager is attempting to determine the production schedule of various products to maximize profit. Assume that a machine hour constraint is binding. If the original amount of machine hours available is 200 minutes., and the range of feasibility is from 130 minutes to 340 minutes, providing two additional machine hours will result in the 8. Decision models are mathematical symbols representing levels of activity. TRUE/FALSE 9. The integer programming model for a transportation problem has constraints for supply at each source and demand at each destination. TRUE/FALSE 10. In a transportation problem, items are allocated from sources to destinations 11. In a media selection problem, the estimated number of customers reached by a given media would generally be specified in the __. Even if these media exposure estimates are correct, using media exposure as a surrogate does not lead to maximization of __.
12. __solutions are ones that satisfy all the constraints simultaneously. 13. In a linear programming problem, a valid objective function can be represented as 14. The standard form for the computer solution of a linear programming problem requires all variables to the right and all numerical values to the left of the inequality or equality sign TRUE/FALSE 15. Constraints representing fractional relationships such as the production quantity of product 1 must be at least twice as much as the production quantity of products 2, 3 and 4 combined cannot be input into computer software packages because the left side of the inequality does not consist of consists of pure numbers. TRUE/FALSE 16. In a balanced transportation model where supply equals demand 17. The objective function is a linear relationship reflecting the objective of an operation. TRUE/FALSE 18. The owner of Chips etc. produces 2 kinds of chips: Lime (L) and Vinegar (V). He has a limited amount of the 3 ingredients used to produce these chips available for his next production run: 4800 ounces of salt, 9600 ounces of flour, and 2000 ounces of herbs. A bag of Lime chips requires 2 ounces of salt, 6 ounces of flour, and 1 ounce of herbs to produce; while a bag of Vinegar chips requires 3 ounces of salt, 8 ounces of flour, and 2 ounces of herbs. Profits for a bag of Lime chips are $0.40, and for a bag of Vinegar chips $0.50. Which of the following is not a feasible production combination? 19. The linear programming model for a transportation problem has constraints for supply at each source and demand at each destination. TRUE/FALSE 20. For a maximization problem, assume that a constraint is binding. If the original amount of a resource is 4 lbs., and the range of feasibility (sensitivity range) for this constraint is from 3 lbs. to 6 lbs., increasing the amount of this resource by 1 lb. will result in the 21. In a total integer model, all decision variables have integer solution values. TRUE/FALSE 23. Linear programming is a model consisting of linear relationships representing a firm s decisions given an objective and resource constraints. TRUE/FALSE 24. When using linear programming model to solve the diet problem, the objective is generally to maximize profit.
TRUE/FALSE 25. In a balanced transportation model where supply equals demand, all constraints are equalities. TRUE/FALSE 26. In a transportation problem, items are allocated from sources to destinations at a minimum cost. TRUE/FALSE 27. Mallory Furniture buys 2 products for resale: big shelves (B) and medium shelves (M). Each big shelf costs $500 and requires 100 cubic feet of storage space, and each medium shelf costs $300 and requires 90 cubic feet of storage space. The company has $75000 to invest in shelves this week, and the warehouse has 18000 cubic feet available for storage. Profit for each big shelf is $300 and for each medium shelf is $150. Which of the following is not a feasible purchase combination? 28. In a mixed integer model, some solution values for decision variables are integer and others can be non integer. TRUE/FALSE 29. In a 0 1 integer model, the solution values of the decision variables are 0 or 1. TRUE/FALSE 30. Determining the production quantities of different products manufactured by a company based on resource constraints is a product mix linear programming problem. TRUE/FALSE 31. When the right hand sides of 2 constraints are both increased by 1 unit, the value of the objective function will be adjusted by the sum of the constraints prices. TRUE/FALSE 32. The transportation method assumes that 33. A constraint is a linear relationship representing a restriction on decision making. TRUE/FALSE 34. When formulating a linear programming model on a spreadsheet, the measure of performance is located in the target cell. TRUE/FALSE 35. The linear programming model for a transportation problem has constraints for supply at each __and __at each destination. 36. The 3 types of integer programming models are total, 0 1, and mixed.
TRUE/FALSE 37. In using rounding of a linear programming model to obtain an integer solution, the solution is 38. If we use Excel to solve a linear programming problem instead of QM for Windows, then the data input requirements are likely to be much less tedious and time consuming. TRUE/FALSE 39. In a __integer model, some solution values for decision variables are integer and others can be non integer. 40. Which of the following is not an integer linear programming problem?