A Company Makes 2 Products a and B from 2

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.