SENSITIVITY ANALYSIS A tailor has the following materials available: 18 sqm cotton, 20 sqm silk, 5 sqm wool. A gown requires the following: 3 sqm cotton, 2 sqm silk, and 1 sqm wool. A suit requires the following: 2 sqm cotton, 4 sqm silk. If a gown sells for Php1200 and a suit for Php1,600, how many of each garment should the tailor make to obtain the maximum amount of money? Objective function: Max: Zj = 1200X1 + 1600X2 Constraints: 3X1 + 2X2 < 18 2X1 + 4X2 < 20 X1 < 5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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SENSITIVITY ANALYSIS A tailor has the
following materials available: 18 sqm
cotton, 20 sqm silk, 5 sqm wool. A gown
requires the following: 3 sqm cotton, 2 sqm
silk, and 1 sqm wool. A suit requires the
following: 2 sqm cotton, 4 sqm silk. If a
gown sells for Php1200 and a suit for
Php1,600, how many of each garment
should the tailor make to obtain the
maximum amount of money?
Objective function: Max: Zj = 1200X1 +
1600X2
Constraints: 3X1 + 2X2 < 18
2X1 + 4X2 < 20
X1 < 5
Transcribed Image Text:SENSITIVITY ANALYSIS A tailor has the following materials available: 18 sqm cotton, 20 sqm silk, 5 sqm wool. A gown requires the following: 3 sqm cotton, 2 sqm silk, and 1 sqm wool. A suit requires the following: 2 sqm cotton, 4 sqm silk. If a gown sells for Php1200 and a suit for Php1,600, how many of each garment should the tailor make to obtain the maximum amount of money? Objective function: Max: Zj = 1200X1 + 1600X2 Constraints: 3X1 + 2X2 < 18 2X1 + 4X2 < 20 X1 < 5
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