STORE WAREHOUSE Torrance Ibiza Frendelton Scynthe SUPPLY Smithville 8 6 12 100 Eastwood 10 8 100 Burlington 9. 10 100 DEMAND 150 60 45 45

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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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The table below shows the following information:

  • Costs of shipping between warehouses and stores
  • Supply in each warehouse
  • Demand at each store

1) Determine the optimal solution and write out your complete answers. Write out your complete optimal solution.

2) Explain the type of transportation problem this is.

3) After solving for the optimum solution, what strategies would you recommend to the company?

This table represents a distribution matrix between warehouses and stores, illustrating the supply chain logistics.

**Structure of the Table:**

- **Rows:** 
  - Warehouses: Smithville, Eastwood, Burlington
  - Supply, Demand Totals

- **Columns:** 
  - Stores: Torrance, Ibiza, Frendelton, Scynthe
  - Total Supply 

**Details:**

1. **Warehouse to Store Distribution:**
   - Smithville:
     - Torrance: 8 units
     - Ibiza: 6 units
     - Frendelton: 12 units
     - Scynthe: 9 units
     - Total Supply: 100 units

   - Eastwood:
     - Torrance: 5 units
     - Ibiza: 5 units
     - Frendelton: 10 units
     - Scynthe: 8 units
     - Total Supply: 100 units

   - Burlington:
     - Torrance: 3 units
     - Ibiza: 2 units
     - Frendelton: 9 units
     - Scynthe: 10 units
     - Total Supply: 100 units

2. **Store Demand:**
   - Torrance: Total demand is 150 units
   - Ibiza: Total demand is 60 units
   - Frendelton: Total demand is 45 units
   - Scynthe: Total demand is 45 units

**Notes:**

- The supply for each warehouse (100 units) matches the total demand across all stores (300 units), indicating a balanced supply-demand scenario.
- This matrix helps in optimizing logistics by identifying supply and demand needs for efficient distribution.
Transcribed Image Text:This table represents a distribution matrix between warehouses and stores, illustrating the supply chain logistics. **Structure of the Table:** - **Rows:** - Warehouses: Smithville, Eastwood, Burlington - Supply, Demand Totals - **Columns:** - Stores: Torrance, Ibiza, Frendelton, Scynthe - Total Supply **Details:** 1. **Warehouse to Store Distribution:** - Smithville: - Torrance: 8 units - Ibiza: 6 units - Frendelton: 12 units - Scynthe: 9 units - Total Supply: 100 units - Eastwood: - Torrance: 5 units - Ibiza: 5 units - Frendelton: 10 units - Scynthe: 8 units - Total Supply: 100 units - Burlington: - Torrance: 3 units - Ibiza: 2 units - Frendelton: 9 units - Scynthe: 10 units - Total Supply: 100 units 2. **Store Demand:** - Torrance: Total demand is 150 units - Ibiza: Total demand is 60 units - Frendelton: Total demand is 45 units - Scynthe: Total demand is 45 units **Notes:** - The supply for each warehouse (100 units) matches the total demand across all stores (300 units), indicating a balanced supply-demand scenario. - This matrix helps in optimizing logistics by identifying supply and demand needs for efficient distribution.
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