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

question 9

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,stated in no particular order,must be met.
Goal 1: Produce at least 15 units of each product.
Goal 2: Avoid overtime in the assembly and machine departments.
Goal 3: Achieve at least $100,000 in profit.

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Definitions:

Undue Influence

Improper or coercive persuasion that leads an individual to act contrary to their free will or without adequate attention to the consequences.

Duress

Coercion or compulsion by threat or force, affecting a person's ability to make a free and informed decision.

Fraudulent Misrepresentation

A false statement made knowingly, without believing in its truth, or recklessly, with intent to deceive and induce another to act upon it to their detriment.

Compensatory Damages

Financial compensation awarded to a plaintiff to indemnify for loss, detriment, or injury suffered as a result of another's wrongdoing.