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For situation A (above) what is the transshipment constraint for the warehouse in Charleston (𝑥7)?Group of answer choices𝑥14+𝑥15+𝑥16−𝑥78−𝑥79−𝑥710

Question

For situation A (above) what is the transshipment constraint for the warehouse in Charleston (𝑥7)?

Group of answer choices
x_{14} + x_{15} + x_{16} - x_{78} - x_{79} - x_{710}

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Solution

The transshipment constraint for the warehouse in Charleston (𝑥7) for situation A is represented by the equation 𝑥14+𝑥15+𝑥16−𝑥78−𝑥79−𝑥710.

This equation is derived as follows:

  1. 𝑥14, 𝑥15, and 𝑥16 represent the quantities of goods transported to the warehouse in Charleston from different locations. These are added together because they all contribute to the total quantity of goods at the warehouse.

  2. 𝑥78, 𝑥79, and 𝑥710 represent the quantities of goods transported from the warehouse in Charleston to different locations. These are subtracted from the total because they represent goods that are leaving the warehouse.

  3. The resulting equation, 𝑥14+𝑥15+𝑥16−𝑥78−𝑥79−𝑥710, therefore represents the net quantity of goods at the warehouse in Charleston after accounting for both incoming and outgoing goods. This is the transshipment constraint for the warehouse in Charleston.

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