Question
The distribution system for the Herman Company consists of three plants, two warehouses, and four customers. Plant capacities and shipping costs per unit (in $)
The distribution system for the Herman Company consists of three plants, two warehouses, and four customers. Plant capacities and shipping costs per unit (in $) from each plant to each warehouse are as follows.
| Plant | Warehouse | Capacity | |
|---|---|---|---|
| 1 | 2 | ||
| 1 | 4 | 7 | 450 |
| 2 | 8 | 5 | 600 |
| 3 | 5 | 6 | 380 |
Customer demand and shipping costs per unit (in $) from each warehouse to each customer are as follows.
| Warehouse | Customer | |||
|---|---|---|---|---|
| 1 | 2 | 3 | 4 | |
| 1 | 6 | 4 | 8 | 4 |
| 2 | 3 | 6 | 7 | 7 |
| Demand | 300 | 300 | 300 | 400 |
(c)Solve the linear program to determine the optimal shipping plan.
| Path | Units | Cost ($) |
|---|---|---|
| x14 | ||
| x15 | ||
| x24 | ||
| x25 | ||
| x34 | ||
| x35 | ||
| x46 | ||
| x47 | ||
| x48 | ||
| x49 | ||
| x56 | ||
| x57 | ||
| x58 | ||
| x59 | ||
| Totals |
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Linear Algebra with Applications
Authors: Steven J. Leon
7th edition
131857851, 978-0131857858
