A Product Mix Problem


The Monet Company produces four types of picture frames, which we label 1, 2, 3, and 4. The four types of frames differ with respect to size, shape, and material used. Each type requires a certain amount of skilled labor, metal, and glass, as shown in table. This table also lists the profit Monet makes from each type of frame, where the profit is the selling price minus the cost of the labor and materials. during the coming week Monet has 4000 hours of skilled labor, 6000 ounces of glass (of the same thickness) available. Also, market constraints are such that it is impossible to sell more than 1000 type 1 frames, 2000 type 2 frames, 500 type 3 frames, and 1000 type 4 frames. The company wants to maximize its weekly profit.
 
 
 
Data for Monet Picture frame Example
Skilled Labor Metal Glass Profit
Frame 1 2 4 6 $6
Frame 2 1 2 2 $2
Frame 3 3 1 1 $4
Frame 4 2 2 2 $3