A Company Needs to Ship 100 Units from Seattle to Denver

question 18

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.
$$\begin{array}{l}\text { Ta }\\\begin{array} { l c c c c } \text { From } & \text { Portland } & \text { Spokane } & \text { Salt Lake City } & \text { Denver } \\\hline \text { Seattle } & 100 \left( X _ { 12 } )\right. & 500 \left( X _ { 13 } \right) & 600 \left( X _ { 14 } \right) & - \\\text { Portland } & - & 350 \left( X _ { 23 } \right) & 300 \left( X _ { 24 } \right) & - \\\text { Spokane } & - & - & 250 \left( X _ { 34 } \right) & 200 \left( X _ { 35 } \right) \\\text { Salt Lake City } & - & - & - & 200 \left( X _ { 45 } \right)\end{array}\end{array}$$ Write out the LP formulation for this problem.

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Definitions:

Equal Employment Opportunities

A policy framework that mandates fair treatment in employment, promotion, and access to benefits across all demographic lines without discrimination.

Fair Labor Standards Act

A U.S. law that establishes minimum wage, overtime pay eligibility, recordkeeping, and child labor standards affecting full-time and part-time workers in the private sector and in federal, state, and local governments.

Immigration Reform

The process of changing existing laws and policies to improve the management and regulation of immigration.

Civil Rights Act

Landmark legislation in the United States that outlawed discrimination based on race, color, religion, sex, or national origin, predominantly known for the 1964 act.