Consider the Following Linear Programming Problem Reformulate and Solve This Problem as a Goal Programming Problem

question 41

Essay

Consider the following linear programming problem:
$$\begin{array} { l } \text { Max: } 500 A + 700 B \\\text { Subject to: } \\2 A + 3 B \leq 35 \text { (assembly hours) } \\3 A + 5 B \leq 40 \text { (machine hours) }\end{array}$$
Reformulate and solve this problem as a goal programming problem if the following goals,with their associated weights,must be met.
Goal 1: Produce at least 15 units of product A;Weight 15
Goal 2: Produce at least 15 units of product B;Weight 15
Goal 3: Minimize overtime in assembly department;Weight 25
Goal 4: Minimize overtime in machine department;Weight 25
Goal 5: Achieve at least $100,000 in profit;Weight 20

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Definitions:

Ethical Decision Making

Ethical decision making involves choosing actions that are morally right and reflect the ethical standards of an individual or organization.

Decision-Making Principles

Guidelines or criteria used to make choices among alternatives.

Determination of Parties

The process of identifying the entities or individuals involved in an agreement, conflict, or legal case.

Ethical Intensity

The magnitude of ethical concern perceived in a situation, influenced by factors like potential harm, social pressure, and probability of effect.