A Company Is Developing Its Weekly Production Plan $\quad$ $\quad$

question 29

Multiple Choice

A company is developing its weekly production plan. The company produces two products, A and B, which are processed in two departments. Setting up each batch of A requires $60 of labor while setting up a batch of B costs $80. Each unit of A generates a profit of $17 while a unit of B earns a profit of $21. The company can sell all the units it produces. The data for the problem are summarized below. $\quad$ $\quad$ $\quad$ $\quad$$\text { Hours required by }$
$\begin{array}{lccc}\text { Operation } & \text { A } & \text { B } & \text { Hours } \\\hline \text { Cutting } & 3 & 4 & 48 \\\text { Welding } & 2 & 1 & 36\end{array}$ The decision variables are defined as
X_i = the amount of product i produced
Y_i = 1 if X_i > 0 and 0 if X_i = 0
What is the appropriate value for M₁ in the linking constraint for product A?

• A) 2
• B) 3
• C) 16
• D) 12

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Definitions:

William Jennings Bryan

An American orator and politician from Nebraska, known for his populist views, running unsuccessfully for president three times as the Democratic Party nominee.

Presidential Election

The process by which a country’s citizens vote to select their head of state, in the case of the United States, through the Electoral College system.

American Socialism

Refers to a political ideology in the United States that advocates for public or collective ownership and administration of the means of production and allocation of resources.

Eugene V. Debs

an American socialist, political activist, trade unionist, one of the founding members of the Industrial Workers of the World (IWW), and five times the candidate of the Socialist Party of America for President of the United States.