G and P Manufacturing Would Like to Minimize the Labor

question 14

Essay

G and P Manufacturing would like to minimize the labor cost of producing dishwasher motors for a major appliance manufacturer. Although two models of motors exist, the finished models are indistinguishable from one another; their cost difference is due to a different production sequence. The time in hours required for each model in each production area is tabled here, along with the labor cost. $$\begin{array} { c | c c } & \text { Model 1 } & \text { Model 2 } \\\hline \text { Area } A & 15 & 3 \\\text { Area B } & 4 & 10 \\\text { Area C } & 4 & 8 \\\hline \text { Cost } & 80 & 65\end{array}$$ Currently labor assignments provide for 10,000 hours in each of Areas A and B and 18000 hours in Area C. If 2000 hours are available to be transferred from area B to Area A, 3000 hours are available to be transferred from area C to either Areas A or B, develop the linear programming model whose solution would tell G&P how many of each model to produce and how to allocate the workforce.

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Definitions:

Spanish-American War

A conflict between Spain and the United States in 1898, resulting from U.S. intervention in the Cuban War of Independence, leading to the U.S. acquiring territories in the western Pacific and Latin America.

Cuba

An island nation in the Caribbean known for its significant cultural heritage, historical socio-political events, and current communist government.

American Expansionism

A policy and ideology that advocates for the territorial or economic expansion of the United States across North America and beyond, historically through methods such as colonization, annexation, and war.