Northwest corner determine the initial solution

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Reference no: EM132290681

Three libraries of the Public University need to send the books of the Math course to three libraries of a Private University. Shipping costs and restrictions are as follows:

Minimize total cost = 3X11 + 3X12 + 2X13 + 4X21 + 2X22 + 3X23+ 3X31 +2X32 + 3X33

Subject to:

X11 + X12 + X13 ≤ 25 (Public 1 supply)

X21 + X22 + X23 ≤ 40 (Public 2 supply)

X31 + X32 + X33 ≤ 30 (Publica 3 supply)

X11 + X21 + X31 = 30 (Private 1 demand)

X12 + X22 + X32 = 30 (Private 2 demand)

X13 + X23 + X33 = 35 (Private 3 demand)

Xij ≥ 0 for all i and j.

I please need 3 tables showing the northwest corner and the stepping stone method trail and error in order to find the optimal route (least cost).

1. Make the complete "send and receive" table.

2. Using the northwest corner determine the initial solution.

3. Using the northwest corner determine the optimal solution.

Reference no: EM132290681

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