Question: Question 2 (4 marks). Consider a production problem with two products & four machines. The processing times of the two products on the first machine

Question 2 (4 marks). Consider a production problem with two products & four machines. The processing times of the two products on the first machine are 14 & 11 minutes, respectively, and the processing time of product 2 is 18 minutes on machine 2 (that product does not need to be processed on machine 1). Machine 3 can process 3 units of product 1 in an hour, or 4 units of product 2 in an hour. Similarly, machine 4 can process 6 units of product 1 or 5 units of product 2 in one hour. The unit prices of the two products are 6ti & 9, respectively, while the machine capacities within the given time frame are 200, 100, 280 & 220 minutes, respectively. The formulation of the problem is then P: Max 2 = (6+1)xi + 9x2 s.t. 14x1 + 11x2 S 200 18x2

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