Production and Operations Analysis, Seventh Edition
Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Chapter 11.11, Problem 42P

(a)

Summary Introduction

Interpretation: For locating three new machines in a machine shop, the likely violations in the seven listed assumptions, needs to be discussed.

Concept Introduction: Planning and taking strategic decisions on fixing locations involves large amount of investments of financial nature and they are also irreversible.

(b)

Summary Introduction

Interpretation: For locating an international network of telecommunications facilities, the likely violations in the seven listed assumptions, needs to be discussed.

Concept Introduction: Planning and taking strategic decisions on fixing locations involves large amount of investments of financial nature and they are also irreversible.

(c)

Summary Introduction

Interpretation: For locating a hospital in a scanty populated area, the likely violations in the seven listed assumptions, needs to be discussed.

Concept Introduction: Planning and taking strategic decisions on fixing locations involves large amount of investments of financial nature and they are also irreversible.

(d)

Summary Introduction

Interpretation: For locating spare parts depots to support a field repair organization, the likely violations in the seven listed assumptions, needs to be discussed.

Concept Introduction: Planning and taking strategic decisions on fixing locations involves large amount of investments of financial nature and they are also irreversible.

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Consider the nonlinear optimization model stated below. Min 2x²-18x + 2XY + y² 14Y + 51 s.t. X + 4Y ≤7 (a) Find the minimum solution to this problem. at (X, Y) = (b) If the right-hand side of the constraint is increased from 7 to 8, how much do you expect the objective function to change? Based on the dual value on the constraint X + 4Y ≤7, we expect the optimal objective function value to decrease by (c) Resolve the problem with a new right-hand side of the constraint of 8. How does the actual change compare with your estimate? If we resolve the problem with a new right-hand-side of 8 the new optimal objective function value is , so the actual change is a decrease of rather than what we expected in part (b).
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