An Introduction To Management Science

Quantitative Approaches To Decision Making

Twelfth Edition

David R. Anderson

University of Cincinnati

Dennis J. Sweeney

University of Cincinnati

Thomas A. Williams

Rochester Institute of Technology

R. Kipp Martin

University of Chicago

South-Western Cincinnati, Ohio

Contents

Preface

Chapter 1: Introduction ♦ Scheduling a Golf League Chapter 2: An Introduction to Linear Programming ♦ Workload Balancing ♦ Production Strategy ♦ Hart Venture Capital Chapter 3: Linear Programming: Sensitivity Analysis and Interpretation of Solution ♦ Product Mix ♦ Investment Strategy ♦ Truck Leasing Strategy Chapter 4: Linear Programming

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Chapter 1

Weeks 9-11 (R1, R2, R3, W4, W5, W6) Weeks 12-14 (R1, R2, R3, B1, B2, B3) Weeks 15-17 (R1, R2, R3, B4, B5, B6)

(W1, W2, W3, B1, B2, B3)

(R4, R5, R6, B4, B5, B6)

(W1, W2, W3, B4, B5, B6)

(W4, W5, W6, R4, R5, R6)

(W1, W2, W3, R4, R5, R6)

(W4, W5, W6, B1, B2, B3)

This Red, White and Blue scheduling procedure provides a schedule with every couple playing every other couple over the 17-week season. If one of the couples should cancel, the schedule can be modified easily. Designate the couple that cancels, say R4, as the Bye couple. Then whichever couple is scheduled to play couple R4 will receive a Bye in that week. With only 17 couples a Bye must be scheduled for one team each week. This same scheduling procedure can obviously be used for scheduling sports teams and or any other kinds of matches involving 17 or 18 teams. Modifications of the Red, White and Blue algorithm can be employed for 15 or 16 team leagues and other numbers of teams.

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Chapter 2

An Introduction to Linear Programming

Case Problem 1: Workload Balancing

1. Production Rate (minutes per printer) Line 1 Line 2 3 4 6 2

Model DI-910 DI-950

Profit Contribution ($) 42 87