Question
formulate a linear programming model.
A manager needs to decide how many units of each product (A, B, or C) to produce on a daily basis in order to achieve the highest contribution to profit (i.e., total sales less total costs) Production requirements for the products are shown in the following table. Product Material 1 Material 2 Labor (pounds per product)(pounds per product) (hours per product) 3.2 1.5 2.0 Material 1 costs $5 per pound: material 2 costs $4 per pound, and labor costs $10 per hour Product A sells for $80 per unit; product B sells for $90 per unit, and product C sells for $70 per unit. Available resources each day are 200 pounds of material 1, 300 pounds of material 2, and 150 hours of labor The manager must satisfy certain output requirements. The output of product A should not be more than one-third of the total number of units produced:; the ratio of units of product A to units of product B should be 3 to 2; and there is a standing order for 5 units of product A each day (note more units of product A can be sold each day). Formulate a linear programming model for this problem
Explanation / Answer
formulate a linear programming model. A manager needs to decide how many units o
