Consider the following LP model in standard form, with a row for the objective function Z.a) Put it into Canonical form ( or Simplex Tableau form) with basic variables X1, X2 , and X3.b) Determine the association BFS (Basic Feasible Solution) and the new formula for the objective function ZMinimize 10X1 + 4X2Sujbject to 3X1 + 2X2 - X3 = 607X1 + 2X2 - X4 = 843X1 + 6X2 -X5 = 72 X1, X2, X3 , X4 , X5 >= 0

Tableau FormThe variables x3, x4 and x5 are having negative coefficients and hence they will get a…

Answered: Consider the following LP model in…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section: Chapter Questions

Problem 62P

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Consider the following LP model in standard form, with a row for the objective function Z.

a) Put it into Canonical form ( or Simplex Tableau form) with basic variables X_1, X₂ _, and X_3.

b) Determine the association BFS (Basic Feasible Solution) and the new formula for the objective function Z

Minimize 10X₁ + 4X₂

Sujbject to

3X₁ + 2X₂ - X₃ = 60

7X₁ + 2X₂ - X₄ = 84

3X₁ + 6X₂ -X₅ = 72

X₁, X₂, X₃ , X₄ , X₅ >= 0

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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.

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