A Company Makes 2 Products a and B from 2

question 9

Essay

A company makes 2 products A and B from 2 resources,labor and material.The products have the following resource requirements and produce the accompanying profits.The available quantity of resources is also shown in the table.
$$\begin{array} { l r r c } \text { Praduct } & \text { A } & \text { B } & \text { Available resources } \\\hline \text { Labor hr/unit) } & 3 & 2 & 150 \\\text { Material ounces/unit) } & 1 & 2 & 200\\\text { Profit\$/unit)}&7&6\end{array}$$
Management has developed the following set of goals
Goal 1: Produce approximately 40 units of product 1.
Goal 2: Produce approximately 70 units of product 2.Goal 3: Achieve a profit over $400.
Goal 4: Consume less than 150 hours of labor Goal 5: Consume less than 200 ounces of material
Formulate a goal programming model of this problem.

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Definitions:

Religious Fulfillment

The sense of contentment, satisfaction, or happiness derived from engaging in religious or spiritual practices and beliefs.

Basic Needs

Fundamental requirements that serve as the foundation for survival, including food, water, shelter, and safety.

Financial Satisfaction

The feeling of contentment with one's financial situation, encompassing aspects like earnings, savings, and debt levels.

Evolutionary Theory

A scientific explanation for the diversity of life on Earth, asserting that species change over time through processes such as natural selection.