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Submit both graphical solution by lingo software

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Reference no: EM131000397

PROBLEM 1.

Solve the Integer Linear Programming Problem:
Max {z = 7x + 3y}, subject to constraints:
2x + 5y ≤ 28; 8x + 3y ≤ 48; x, y - non-negative integers.

Submit both graphical solution and solution by LINGO software.

PROBLEM 2.

The vector X = (2, 0, 4) is the optimal solution of the Linear Programming Problem:
Max {z = 4x1 +  2x2 +  3x3}, subject to constraints:
2x1 + 3x2 + x3 ≤ 12; x1  + 4x2 +  2x3 ≤ 10; 3x1 + x2 + x3  ≤ 10; x1, x2, x3 ≥ 0.

Solve the dual problem using the Duality Theory in Linear Programming. 

Reference no: EM131000397

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