Optimal Product Mix -- (Linear Programming)

Your company produces three products, Model Alpha, Model Beta and Model Delta. The contribution of the products is $2200 (for Alpha), $3000 (for Beta) and $1600 (for Delta).

If your company stay in business (i.e. if it produces any products), then it must absorb a fixed cost of $100,000.

Each model is produced through a three-process technology. The amount of time used by each model in each process is outlined below. The total amount of time available to produce all models is also listed. Using this data, answer the following questions.

Model Alpha Model Beta Model Delta Time Available Process 1 6 3 240 Process 2 5 6 4 260 Process 3 5 7.5 15 600Model Gamma 10