Three private libraries the books from science class

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Reference no: EM132294864

Three public libraries need to send to three private libraries the books from science class.

The cost of delivery and restriction are the the following:

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 (Public 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

Do the complete table of delivering and receive.

Use the northwest corner method to the determine the initial and optimal solution.

Reference no: EM132294864

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