Use a graphing calculator or other technology to solve the following linear programming problem.Maximizez=37x₁+34x₂+36x3 +30x4 +35x5subject to: 16x₁+19x2 +23x3 + 15x4 +21x5 ≤37,00015x₁ +10x2 +19x3 +23x4 +10x5 ≤25,0009x₁ +16x2 +14x3 + 12x4 + 11x5 ≤27,00018x₁ +20x2 +15x3 + 17x4 +19x5 ≤32,000x₁20, X₂ ≥0, X3 20, x4 ≥0, x5 20F3View an example Get more help.ܩ ܠ$4SEP122RLLwithThe maximum is when x₁ = ₁x₂ = ₁ x3 = ₁ X4 = ₁ ×5 = ₁, $₁=₁ $S₂ = , $3 = ₁ and $4 = 0.1X2(Round to the nearest hundredth as needed.)FF4%5ATG6YH&7◄◄UJ*8► 11F8(9KClear allF9OOF10Check answerPF11+A||

Answered: Use a graphing calculator or other…

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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Related questions

Question

Use a graphing calculator or other technology to solve the following linear programming problem.
Maximize
z=37x₁+34x₂+36x3 +30x4 +35x5
subject to: 16x₁+19x2 +23x3 + 15x4 +21x5 ≤37,000
15x₁ +10x2 +19x3 +23x4 +10x5 ≤25,000
9x₁ +16x2 +14x3 + 12x4 + 11x5 ≤27,000
18x₁ +20x2 +15x3 + 17x4 +19x5 ≤32,000
x₁20, X₂ ≥0, X3 20, x4 ≥0, x5 20
F3
View an example Get more help.
ܩ ܠ
$
4
SEP
122
R
LL
with
The maximum is when x₁ = ₁x₂ = ₁ x3 = ₁ X4 = ₁ ×5 = ₁, $₁=₁ $S₂ = , $3 = ₁ and $4 = 0.
1
X2
(Round to the nearest hundredth as needed.)
F
F4
%
5
A
T
G
6
Y
H
&
7
◄◄
U
J
*
8
► 11
F8
(
9
K
Clear all
F9
O
O
F10
Check answer
P
F11
+
A
||

Expert Solution

Step 1

To find- Use a graphing calculator or other technology to solve the following linear programming problem.

$Maximize z = 37 x_{1} + 34 x_{2} + 36 x_{3} + 30 x_{4} + 35 x_{5} subject to: 16 x_{1} + 19 x_{2} + 23 x_{3} + 15 x_{4} + 21 x_{5} \leq 37, 000 15 x_{1} + 10 x_{2} + 19 x_{3} + 23 x_{4} + 10 x_{5} \leq 25, 000 9 x_{1} + 16 x_{2} + 14 x_{3} + 12 x_{4} + 11 x_{5} \leq 27, 000 18 x_{1} + 20 x_{2} + 15 x_{3} + 17 x_{4} + 19 x_{5} \leq 32, 000 with x_{1} \geq 0, x_{2} \geq 0, x_{3} \geq 0, x_{4} \geq 0, x_{5} \geq 0$