Elementary Linear Algebra 6e - Larson, Edwards, Falvo - Chapter 9.6 (Exercises)

Elementary Linear Algebra 6e - Larson, Edwards, Falvo - Chapter 9.6 (Exercises)

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CHAPTER 9 REVIEW EXERCISES 567 CHAPTER 9 REVIEW EXERCISES In Exercises 1–6, sketch a graph of the solution of the system of inequalities. 1. 2. 3. 4. 5. 6. In Exercises 7 and 8, determine a system of inequalities that models the description, and sketch a graph of the solution of the system. 7. A Pennsylvania fruit grower has 1500 bushels of apples that are to be divided between markets in Harrisburg and Philadelphia. These two markets need at least 400 bushels and 600 bushels, respectively. 8. A warehouse operator has 24,000 square meters of floor space in which to store two products. Each unit of product I requires 20 square meters of floor space and costs $12 per day to store. Each unit of product II requires 30 square meters of floor space and costs $8 per day to store. The total storage cost per day cannot exceed $12,400. In Exercises 9–14, find the minimum and/or maximum values of the objective function by the graphical method. 9. Maximize: y x 2 24681 0 4 6 8 10 (0, 10) (5, 8) (0, 0) (7, 0) z 5 3 x 1 4 y y 0 y 0 x 0 2 x 2 y 8 x 2 y 10 2 x 2 3 y 0 0 y 15 y 15 0 x 25 2 x 15 x 1 3 y 18 x 1 2 y 12 2 x 1 y 16 3 x 1 2 y 24 y 0 y 0 x 0 x 0 2 x 1 y 16 3 x 1 y 180 2 x 1 3 y 24 x 1 2 y 160
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568 CHAPTER 9 LINEAR PROGRAMMING 10. Minimize: 11. Objective function: 12. Objective function: Constraints: Constraints: 13. Objective function: 14. Objective function: Constraints: Constraints: In Exercises 15–22, use the simplex method to maximize the objective function, subject to the given constraints. 15. Objective function: 16. Objective function: Constraints: Constraints: 17. Objective function: 18. Objective function: Constraints: Constraints: 19. Objective function: 20. Objective function: Constraints: Constraints: 21.
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This note was uploaded on 02/24/2012 for the course MATH 310 taught by Professor Staff during the Spring '08 term at VCU.

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Elementary Linear Algebra 6e - Larson, Edwards, Falvo - Chapter 9.6 (Exercises)

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