Question

A factory manager wishes to determine a production plan for four products to maximise profits. Two production lines are available, at most one of which should be used. Line one offers 1,800 minutes of capacity and has a setup charge of 800. Line two offers 2,400 minutes of capacity and has a setup charge of 1,000. The price and processing capabilities per line for the products are shown in Table 1. Demand for product 1 is at least 100, and for product 2 is at least 50 Product xiX2X3 X4 Price (/unit) 11 21 15 14 Line 1 (minutes/unit) 2.43.2 1.8 1.05 Line 2 (minutes/unit) 2.5 3.5 1.0 1.25 Table 1: Product production profiles a) Formulate an (I)LP model using algebraic notation to determine the optimal combination of products. Explain all components of the model [20 marks] and justify any assumptions made

Answer 1

Pourr Pooducts