Solve this linear programming (LP) problem using the transportation method. Find the optimal transportation plan and the
Question:
Solve this linear programming (LP) problem using the transportation method. Find the optimal transportation plan and the minimum cost. Also, decide if there is an alternate solution. If there is one, identify it.
Minimize
8x11 + 2x12 + 5x13 + 2x21 + x22 + 3x23 + 7x31 + 2x32 + 6x33
Subject to
x11 + x12 + x13 = 90
x21 + x22 + x23 = 105
x31 + x32 + x33 = 105
x11 + x21 + x31 = 75
x12 + x22 + x32 = 75
All variables ≥ 0
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