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:

Lateral Hypothalamus

The lateral hypothalamus is a part of the brain involved in hunger and thirst regulation, among other physiological processes.

Insulin Levels

The level of insulin, a hormone made by the pancreas to control blood sugar levels, present in the blood.

Leptin

An agent released by fat tissues tasked with maintaining energy stability by reducing the sensation of appetite.

Body Fat

The portion of the human or animal body composed of fat tissues, serving as energy storage and insulation.