A manufacturer produces three models (I, II, and III) of a certain product using raw materials A and B. The labor time per unit model of I is twice that of II and three times that of III. The entire labor force of the factory can produce the equivalent of 1500 units of Model I. Market requirements specify the ratios 3:2:5 for the production of the three respective models and minimum demand levels should be satisfied. Requirement Raw Material A III Availability 2 3 5 4000 B 4 2 7 6000 Minimum demand 200 200 150 Price per unit 30 20 50 The objective is to maximize the total revenue. a. Formulate a linear programming model for this problem. b. Discuss your findings in the context of assumptions of linear programming.