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# Integer Linear Programming and Optimal Solution

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1. Consider the following integer linear programming problem.
Max Z = 3x1 + 2x2
Subject to: 3x1 + 5x2 <= 30
4x1 + 2x2 <= 28
x1 <= 8
x1, x2 >= 0 and integer
The solution to the linear programming relaxation is: x1 = 5.714, x2= 2.571.
What is the optimal solution to the integer linear programming problem? State the value of the objective function Z = x or x.x.

https://brainmass.com/math/algebra/integer-linear-programming-optimal-solution-142295

#### Solution Preview

1. Consider the following integer linear programming problem.
Max Z = 3x1 + 2x2
Subject to: 3x1 + 5x2 <= 30
4x1 + 2x2 <= 28
x1 <= 8
x1, x2 >= 0 and integer
The solution to the linear ...

#### Solution Summary

This solution contains a detailed explanation of solving an integer linear programming problem.

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