1. Maximize Z = 16X₁ + 15X₂ Subject to: 40X, +31X₂ ≤ 124 -X₁ + X₂ ≤ 1 <3 X₁ X₁, X₂ 20 (a) Solve the problem using graphical method: (1) 40X, +31X2 s 124 X₁ = 3.1 X₂ = 4 0+ 0 ≤ 124 (true) (2) -X₁ + X₂ S1 X₁ = -1 X₂ = 1 0+ 0 ≤ 1 (true) (3) X₁ ≤3 X₁ = 3 X₂ = 0 0 ≤ 3 (true) "Optimum area (a, b, c, d, e) i 2E1 G (C d 0 B

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. Maximize Z= 16X₁ + 15X₂
Subject to: 40X, +31X₂ ≤ 124
-X₁ + X₂ ≤ 1
X₁
<3
X1, X₂ 20
(a) Solve the problem using
graphical method:
(1) 40X, +31X2 ≤ 124
X₁ = 3.1
X₂ = 4
0+ 0 ≤ 124 (true)
(2) -X₁ + X₂ ≤1
X₁ = -1
X₂ = 1
0+ 0 ≤ 1 (true)
(3) X₁ ≤3
X₁ = 3
X₂ = 0
0 ≤ 3 (true)
Optimum area (a, b, c, d, e) i
4-
34
N
D
D
24
(B3
Ⓡ
Transcribed Image Text:1. Maximize Z= 16X₁ + 15X₂ Subject to: 40X, +31X₂ ≤ 124 -X₁ + X₂ ≤ 1 X₁ <3 X1, X₂ 20 (a) Solve the problem using graphical method: (1) 40X, +31X2 ≤ 124 X₁ = 3.1 X₂ = 4 0+ 0 ≤ 124 (true) (2) -X₁ + X₂ ≤1 X₁ = -1 X₂ = 1 0+ 0 ≤ 1 (true) (3) X₁ ≤3 X₁ = 3 X₂ = 0 0 ≤ 3 (true) Optimum area (a, b, c, d, e) i 4- 34 N D D 24 (B3 Ⓡ
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