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a) Write the dual to the following LPPs: i) Maximize: z= 3x, + 5x. + 4x. ii) Minimize: z= 3x. + 5x. + 2x. subject to: 2x. + x. + 4x. < 3 4x. +5х.+ 5х, —6 x. +2x.+ x 22 subject to: 2x. + 3х. 2 3 Зх - Зх + 2х, -8 with: x., x 20 with: x, <0

a) Write the dual to the following LPPs: i) Maximize: z= 3x, + 5x. + 4x. ii) Minimize: z= 3x. + 5x. + 2x. subject to: 2x. + x. + 4x. < 3 4x. +5х.+ 5х, —6 x. +2x.+ x 22 subject to: 2x. + 3х. 2 3 Зх - Зх + 2х, -8 with: x., x 20 with: x, <0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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a) Write the dual to the following LPPS: i) Maximize: z= 3x, + 5x. + 4x. ii) Minimize: z= 3x. + 5x. + 2x. subject to: 2x. + X. + 4x < 3 4х +5х + 5х, -6 х +2х + х >2 subject to: 2x. + 3х 23 3х - 3х+ 2х —8 with: x, x 20 with: x, <0
Transcribed Image Text:a) Write the dual to the following LPPS: i) Maximize: z= 3x, + 5x. + 4x. ii) Minimize: z= 3x. + 5x. + 2x. subject to: 2x. + X. + 4x < 3 4х +5х + 5х, -6 х +2х + х >2 subject to: 2x. + 3х 23 3х - 3х+ 2х —8 with: x, x 20 with: x, <0
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