D,I 9.2-4. The Cost-Less Corp. supplies its four retail outlets from its four plants. The shipping cost per shipment from each plant to each retail outlet is given below. Unit Shipping Cost Retail Outlet Plant 1 2 3 4 1234 $500 $600 $400 $200 2 $200 $900 $100 $300 3 $300 $400 $200 $100 4 $200 $100 $300 $200 Plants 1, 2, 3, and 4 make 10, 20, 20, and 10 shipments per month, respectively. Retail outlets 1, 2, 3, and 4 need to receive 20, 10, 10, and 20 shipments per month, respectively. The distribution manager, Meredith Smith, now wants to determine the best Page 355 plan for how many shipments to send from each plant to the respective retail outlets each month. Meredith's objective is to minimize the total shipping cost. (a) Formulate this problem as a transportation problem by constructing the appropriate parameter table. (b) Use the northwest corner rule to construct an initial BF solution. (c) Starting with the initial basic solution from part (b), interactively apply the transportation simplex method to obtain an optimal solution.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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D,I 9.2-4. The Cost-Less Corp. supplies its four retail outlets from its four plants. The
shipping cost per shipment from each plant to each retail outlet is given below.
Unit Shipping Cost
Retail Outlet
Plant
1
2
3
4
1234
$500
$600
$400
$200
2
$200
$900
$100
$300
3
$300
$400
$200
$100
4
$200
$100
$300
$200
Plants 1, 2, 3, and 4 make 10, 20, 20, and 10 shipments per month, respectively. Retail
outlets 1, 2, 3, and 4 need to receive 20, 10, 10, and 20 shipments per month, respectively.
The distribution manager, Meredith Smith, now wants to determine the best Page 355
plan for how many shipments to send from each plant to the respective retail
outlets each month. Meredith's objective is to minimize the total shipping cost.
(a) Formulate this problem as a transportation problem by constructing the appropriate
parameter table.
(b) Use the northwest corner rule to construct an initial BF solution.
(c) Starting with the initial basic solution from part (b), interactively apply the
transportation simplex method to obtain an optimal solution.
Transcribed Image Text:D,I 9.2-4. The Cost-Less Corp. supplies its four retail outlets from its four plants. The shipping cost per shipment from each plant to each retail outlet is given below. Unit Shipping Cost Retail Outlet Plant 1 2 3 4 1234 $500 $600 $400 $200 2 $200 $900 $100 $300 3 $300 $400 $200 $100 4 $200 $100 $300 $200 Plants 1, 2, 3, and 4 make 10, 20, 20, and 10 shipments per month, respectively. Retail outlets 1, 2, 3, and 4 need to receive 20, 10, 10, and 20 shipments per month, respectively. The distribution manager, Meredith Smith, now wants to determine the best Page 355 plan for how many shipments to send from each plant to the respective retail outlets each month. Meredith's objective is to minimize the total shipping cost. (a) Formulate this problem as a transportation problem by constructing the appropriate parameter table. (b) Use the northwest corner rule to construct an initial BF solution. (c) Starting with the initial basic solution from part (b), interactively apply the transportation simplex method to obtain an optimal solution.
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