Homework Answers
a)
Linear program is following:
Let Xij = quantity to be shipped from warehouse i to market j
Min 6X1A+8X1B+10X1C+7X2A+11X2B+11X2C+4X3A+5X3B+12X3C
s.t.
X1A+X1B+X1C=150
X2A+X2B+X2C=175
X3A+X3B+X3C=275
X1A+X2A+X3A=200
X1B+X2B+X3B=100
X1C+X2C+X3C=300
Xij >= 0
b) Solution using LINGO is following:
The solution is written in a table as below:
| A | B | C | |
| 1 | 0 | 0 | 150 |
| 2 | 25 | 0 | 150 |
| 3 | 175 | 100 | 0 |
Total Cost = 4525
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