A Manufacturer of Electrical Consumer Products, with Its Headquarters in Burlington

question 14

Essay

A manufacturer of electrical consumer products, with its headquarters in Burlington, Iowa, produces electric irons at Manufacturing Plants 1, 2, and 3. The irons are shipped to Warehouses A, B, C, and D. The shipping cost per iron, the monthly warehouse requirements, and the monthly plant production levels are: $\begin{array}{lccccc} &&\text { Thatehouse }&&&\text { Monthly Plant }\\& \mathrm{A} & \mathrm{B} & \mathrm{C} & \mathrm{D} & \text { Froduction (units) } \\\hline \text { Plant 1 } & \$ .20 & \$ .25 & \$ .15 & \$ .20 & 10,000 \\\text { Plant 2 } & .15 & .30 & .20 & .15 & 20,000 \\\text { Plant 3 } & .15 & .20 & .20 & .25 & 10,000\\\hline\text { Monthly Warehouse } & 12,000 & 8,000 & 15,000 & 5,000 \\\text { Requirements (units) }\\\end{array}$ How many electric irons should be shipped per month from each plant to each warehouse to minimize monthly shipping costs?
a.Use the minimum cost method to find an initial feasible solution.
b.Can the initial solution be improved?
c.Compute the optimal total shipping cost per month.

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Definitions:

Personal Freedom

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Greenwich Village

A neighborhood in Lower Manhattan, New York City, known for its vibrant arts scene, bohemian lifestyle, and as a historic center of LGBTQ+ culture.

Labor Radicals

Individuals or groups advocating for drastic or revolutionary changes in labor practices and policies, often focused on workers' rights and social equality.

Cultural Modernists

Individuals or groups advocating for or embodying cultural changes that embrace modern ideas, values, and practices, often in contrast to traditional norms.