Chapter 7: Linear Programming 1. Find the duals. a) Maximize Z = 2?1 + ?2 − ?3 subject to: 2?1 + 2?2 ≤ 3 −?1 + 4?2 + 2?3 ≤ 5 ?1, ?2, ?3 ≥ 0 b) Minimize Z = 8?1 + 12?2 subject to: 2?1 + 2?2 ≥ 1 ?1 + 3?2 ≥ 2 ?1, ?2 ≥ 0

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.1: Sets And Geometry
Problem 35E
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Chapter 7: Linear Programming 1. Find the duals. a) Maximize Z = 2?1 + ?2 − ?3 subject to: 2?1 + 2?2 ≤ 3 −?1 + 4?2 + 2?3 ≤ 5 ?1, ?2, ?3 ≥ 0 b) Minimize Z = 8?1 + 12?2 subject to: 2?1 + 2?2 ≥ 1 ?1 + 3?2 ≥ 2 ?1, ?2 ≥ 0
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