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# a - a Student 1 Linear programming is a model with an...

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a Student: ___________________________________________________________________________ 1. Linear programming is a model with an explicit objective to be maximized or minimized. True False 2. The decision variables in a linear programming model must be nonnegative. True False 3. Each term in a linear program's objective function should be expressed in the same units. True False 4. Linear programming solutions may include a sensitivity report. This report gives information on making changes in objective function coefficients. True False 5. The objective function in a linear programming model can be nonlinear. True False 6. In the conventional formulation of a linear programming model we will see all of the decision variables on the right-hand-side of a constraint and a constant value on the left-hand-side. True False 7. In the formulation of a linear programming model that will optimize production we expect to see all the decision variables to be either zero or some positive value. True False 8. Minimizing the amount of scrap material generated by cutting steel, leather, or fabric from a roll or sheet of stock material is one kind of problem that cannot be solved by linear programming. True False 9. Finding the optimal combination of products to stock in a warehouse cannot be solved using linear programming. True False 10. Finding the optimal product mix where several products have different costs and resource requirements cannot be solved using linear programming. True False

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11. Finding the optimal routing for a product that must be processed sequentially through several machine centers, with each machine in a center having its own cost and output characteristics cannot be solved using linear programming. True False 12. If products and resources cannot be subdivided into fractions, the condition of divisibility is violated. In these cases, a modification of linear programming called integral programming can be used. True False 13. If products and resources cannot be subdivided into fractions, the condition of divisibility is violated. In these cases, a modification of linear programming called integer programming can be used. True False 14. When multiple objectives exist in a linear programming problem a technique called goal programming may be used. True False 15. A typical application of linear programming is in materials handling. True False 16. Linear programming is useful when resources are unlimited. True False 17. Finding the optimal location of a new plant by evaluating shipping costs between alternative locations and supply and demand sources is one kind of problem that can be solved by linear programming. True False 18. Linear programming is not helpful when resources are plentiful relative to demand. True False
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