A Company Needs to Ship 100 Units from Seattle to Denver

question 7

Essay

A company needs to ship 100 units from Seattle to Denver at the lowest possible cost.The costs associated with shipping between the cities are listed below.Also,the decision variable associated with each pair of cities is shown next to the cost.
To
$$\begin{array} { l c c c c } \text { From } & \text { Portland } & \text { Spokane } & \text { Salt Lake City } & \text { Denver } \\\hline \text { Seattle } & \left. 100 \mathbf { X } _ { 12 } \right) & \left. 500 \mathbf { X } _ { 13 } \right) & \left. 600 \mathbf { X } _ { 14 } \right) & - \\\text { Portland } & - & \left. 350 \mathbf { X } _ { 23 } \right) & \left. 300 \mathbf { X } _ { 24 } \right) & - \\\text { Spokane } & - & - & \left. 250 \mathbf { X } _ { 34 } \right) & \left. 200 \mathrm { X } _ { 35 } \right) \\\text { Salt Lake } & - & - & - & \text { 200 } \left. \mathbf { X } _ { 45 } \right)\\\text{City}\end{array}$$
Write out the LP formulation for this problem.

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Definitions:

Common Purpose

A shared goal or mission that unites a group or team in their efforts.

High-Performance Teams

Groups characterized by high levels of collaboration and productivity, aiming to achieve superior results.

Communication Mechanisms

refer to the methods or systems used to convey information, ideas, or messages between people, including verbal, non-verbal, written, and digital forms.

Social Loafer

An individual who contributes less to a group task, relying on others to carry the workload.