A Company Is Developing Its Weekly Production Plan

question 38

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. 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:

Infantile Amnesia

The inability of adults to recall memories from early childhood, typically before the age of 3 or 4.

Prefrontal Lobes

The anterior part of the frontal lobes of the brain, implicated in a variety of complex behaviors including planning, decision making, and moderating social behavior.

Elaboration

The addition of more detail, explanation, or information to a concept, idea, or proposal.

Automaticity

The ability to perform tasks without occupying the mind with the low-level details, achieved through repetition and practice.