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2- Max Z = 5x1 + 3x2
Subject to: 6x1 + 2x2 <= 18
15x1 + 20x2 <= 60
x1 , x2 >= 0
Find the optimal profit. Z=?
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3. Consider the following linear programming problem.
MIN Z = 10x1 + 20x2
Subject to: x1 + x2 >= 12
2x1 + 5x2 >= 40
x1, x2 >= 0
What is minimum cost Z=??

2007-02-17 01:40:34 · 3 answers · asked by Anonymous in Science & Mathematics Mathematics

3 answers

2)
If you plot graph,
you can find Max Z = 5x1 + 3x2 located
at interception point between
6x1 + 2x2 = 18 ---(1)
and
15x1 + 20x2 = 60 ---(2)

10x(1)
60x1 + 20x2 = 180---(3)

(3)-(2)
45x1 = 120
x1 = 24/9
x2 = 1
Max Z = 5(24/9) + 3(1) = 16.33

3)
If you plot graph,
you can find Min Z = 10x1 + 20x2 located
at interception point between
x1 + x2 = 12 ---(1)
and
2x1 + 5x2 = 40 ---(2)

2x(1)
2x1 + 2x2 = 24---(3)

(2)-(3)
3x2 = 16
x2 = 16/3
x1 = 20/3
Min Z = 10(20/3) + 20(16/3) = 173.33

2007-02-17 02:22:37 · answer #1 · answered by seah 7 · 1 0

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2016-12-17 18:13:13 · answer #2 · answered by sollers 3 · 0 0

whatt??

2007-02-17 02:27:22 · answer #3 · answered by Anonymous · 0 0

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