Three libraries of the Public University need to send the books of the Math course to...
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).
Q1. Make the complete "send and receive" table.
Q2. Using the northwest corner determine the initial solution.
Q3. Using the northwest corner determine the optimal solution.
Homework Answers
Q1. "Send (Supply) and receive (Demand)" table is following:
For simplicity, let us name Public 1,2,3 as Nodes A, B and C and Private 1,2,3 as Nodes 1, 2 and 3
Q2. Initial solution is determined using Northwest corner method as
below:
Q3. Optimal solution is determined using stepping stone method as below:
Add Answer to:
Three libraries of the Public University need to send the books
of the Math course to...
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