Answered: 26. What is the feasibility range for… | bartleby

26. What is the feasibility range for constraint 1? A. [3,00) B. [6, 18] C. [12,24] D. [4,00) 27. What is the feasibility range for constraint 2? A. [3,00) B. [12,24] C. [4, ∞) D. [6, 18] 28. What is the feasibility range for constraint 3? A. [2,00) B. [6, 18] C. [12,24] D. [4,00) 29. What is the associated optimality range for the coefficient of a that will keep the optimum un- changed? A. [2, ∞) B. [0, ∞) C. [2, D. [0, 1] 30. What is the associated optimality range for the coefficient of 2 that will keep the optimum un- changed? (0) 10 Z1

Practical Management Science

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section: Chapter Questions

Problem 67P

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Question

Operation research 1: LP model answer all questions below asap

Consider the LP model below to answer question no.26-30
Max z
3x1 +502
subject to
14
constraint 1
2x212 constraint 2.
3x12x2 18 constraint 3
X1, X20
26. What is the feasibility range for constraint 1?
A. [3, ∞) B. [6, 18] C. [12,24] D. [4,00)
27. What is the feasibility range for constraint 2?
A. [3,00) B. [12, 24] C. [4, ∞) D. [6, 18]
28. What is the feasibility range for constraint 3?
A. [2,00) B. [6, 18] C. [12,24] D. [4,00)
29. What is the associated optimality range for the coefficient of x₁ that will keep the optimum un-
changed?
A. [2,00) B. [0, ∞)
30. What is the associated optimality
changed?
A. [2, ∞) B. [0, ∞) C. [2, D. [0, 1]
C. [2, D. [0,1]
range for the coefficient of 2 that will keep the optimum un-

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This problem is based on Motorolas online method for choosing suppliers. Suppose Motorola solicits bids from five suppliers for eight products. The list price for each product and the quantity of each product that Motorola needs to purchase during the next year are listed in the file P06_93.xlsx. Each supplier has submitted the percentage discount it will offer on each product. These percentages are also listed in the file. For example, supplier 1 offers a 7% discount on product 1 and a 30% discount on product 2. The following considerations also apply: There is an administrative cost of 5000 associated with setting up a suppliers account. For example, if Motorola uses three suppliers, it incurs an administrative cost of 15,000. To ensure reliability, no supplier can supply more than 80% of Motorolas demand for any product. A supplier must supply an integer amount of each product it supplies. Develop a linear integer model to help Motorola minimize the sum of its purchase and administrative costs.
Solve Problem 1 with the extra assumption that the investments can be grouped naturally as follows: 14, 58, 912, 1316, and 1720. a. Find the optimal investments when at most one investment from each group can be selected. b. Find the optimal investments when at least one investment from each group must be selected. (If the budget isnt large enough to permit this, increase the budget to a larger value.)

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