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Solve by simplex method
Subject to
3x1 + 5x2 ≤ 15
5x1 + 2x2 ≤ 10
& x1 ≥ 0, x2 ≥ 0
[Ans. Max Z = 235/19, x1= 20/19, x2= 45/19]
x1 + x2 ≤ 4
3x1 - 8x2 ≤ 24
10x1 + 7x2 ≤ 35
[Ans. Max Z = 28, x1= 0, x2= 4]
x1 + 3x2 + x4 ≤ 4
2x1 + x2 ≤ 3
x2 + 4x3 + x4 ≤ 3
& x1 ≥ 0, x2 ≥ 0, x3 ≥ 0, x4 ≥ 0
[Ans. Max Z = 13/2, x1= 1, x2= 1, x3= 1/2, x4= 0]
-x1 - 2x2 ≥ -6
4x1 + 3x2 ≤ 12
[Ans. Max Z = 21, x1= 3, x2= 0]
2x1 + x2 ≤ 10
x1 + 3x2 ≤ 6
x1 + x2 ≤ 21
Minimization Example A farmer is advised to utilize at least 900 kg of mineral A and 1200 kg of mineral B to increase the productivity of crops in his fields.
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Test Statistic The next step is compute an appropriate test statistic which is based on an appropriate probability distribution. It is used to test whether the null hypo
These models are used to develop a method to evaluate the merit of alternative courses or action by representing with a mathematical model of the problems where various variab
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Construct a two-variable LP model that: · Maximizes Z; · All coefficients in the objective function are greater than 500; · Includes at least 5 constraints;
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