Answered: Min 4x1 + 6x2 s.t 2x1 + 2x2… | bartleby

Practical Management Science

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter3: Introduction To Optimization Modeling

Section: Chapter Questions

Problem 52P

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Question

Given the following LP:

Min 4_x1 + 6_x2

_s.t 2_{x1 +} 2_x2 ≥ 3,

x₁⁺3_x2≥2,

x₁⁺3_x2 ≥ 0,

Find its dual LP.

Use graphical method or the Simplex algorithm, solve the primal LP in (1).

Use graphical method or the Simplex algorithm, solve the dual LP (that you find in Part A).

Find its dual LP.

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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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