Transportation Problems: The EBKK company has three plants producing child push chairs that are to be shipped to four distribution centers. Plans 1, 2, and 3 produce 12, 17, and 11 shipments per month, respectively. Each distribution center needs to receive 10 shipments per month. The distance from each plant to the respective distribution center is given below: DISTRIBUTION CENTER Plant 1 2 3 4 1 800 1300 400 700 2 1100 1400 600 800 3 600 1200 800 900 a. Draw a complete network representation of the problem b. Is the initial solution optimal? c. Find the optimal solution using the MODI Method
Transportation Problems: The EBKK company has three plants producing child push chairs that are to be shipped to four distribution centers. Plans 1, 2, and 3 produce 12, 17, and 11 shipments per month, respectively. Each distribution center needs to receive 10 shipments per month. The distance from each plant to the respective distribution center is given below:
| DISTRIBUTION CENTER | ||||
| Plant | 1 | 2 | 3 | 4 |
| 1 | 800 | 1300 | 400 | 700 |
| 2 | 1100 | 1400 | 600 | 800 |
| 3 | 600 | 1200 | 800 | 900 |
a. Draw a complete network representation of the problem
b. Is the initial solution optimal?
c. Find the optimal solution using the MODI Method
d. The freight cost for each shipment is $100 plus 50 cents per mile. How much should be shipped from each plant to each of the distribution centers to minimize the total shipping cost?
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