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OPTIMUM solution for the transportation problem detailed in the table belo 2228 sss 555 2448

OPTIMUM solution for the transportation problem detailed in the table belo 2228 sss 555 2448

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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### Transportation Model Exercise **Instructions:** - Insert rows as needed while solving. Alternatively, you can copy data to another tab. - Please highlight your answers in color. Good luck! **Problem Statement:** - Refer to the table that follows. - Find the OPTIMUM solution for the transportation problem detailed in the table below. - *Hint:* Add a dummy row or column as needed to address imbalances in supply and demand. **Table:** | | **To** | | | | **Supply** | |--------|-------|-------|---------|----------|------------| | | **A** | **B** | **C** | | | | **From**| | | | | | | **X** | $30 | $12 | $ | 10 | **100** | | **Y** | $10 | $20 | $ | 15 | **50** | | **Z** | $10 | $16 | $ | 25 | **200** | | | | | | | | | **Demand** | | 50 | 50 | 100 | | The table above represents a classic transportation problem where you need to fulfill demand at three destinations **A, B,** and **C** from three sources **X, Y,** and **Z**. The costs are given in dollars for each route, and the objective is to minimize the transportation cost by satisfying both supply and demand constraints. - **Supply (last column):** The quantity of goods available at each source. - **Demand (bottom row):** The quantity of goods required at each destination. - **Note:** Adjust the table by adding a dummy row or column if necessary to balance the total supply and demand.
Transcribed Image Text:### Transportation Model Exercise **Instructions:** - Insert rows as needed while solving. Alternatively, you can copy data to another tab. - Please highlight your answers in color. Good luck! **Problem Statement:** - Refer to the table that follows. - Find the OPTIMUM solution for the transportation problem detailed in the table below. - *Hint:* Add a dummy row or column as needed to address imbalances in supply and demand. **Table:** | | **To** | | | | **Supply** | |--------|-------|-------|---------|----------|------------| | | **A** | **B** | **C** | | | | **From**| | | | | | | **X** | $30 | $12 | $ | 10 | **100** | | **Y** | $10 | $20 | $ | 15 | **50** | | **Z** | $10 | $16 | $ | 25 | **200** | | | | | | | | | **Demand** | | 50 | 50 | 100 | | The table above represents a classic transportation problem where you need to fulfill demand at three destinations **A, B,** and **C** from three sources **X, Y,** and **Z**. The costs are given in dollars for each route, and the objective is to minimize the transportation cost by satisfying both supply and demand constraints. - **Supply (last column):** The quantity of goods available at each source. - **Demand (bottom row):** The quantity of goods required at each destination. - **Note:** Adjust the table by adding a dummy row or column if necessary to balance the total supply and demand.
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