lp model?

A company has 4 machine named as A,B,C,D. This company produces product EEG by using these machines. Company wants to plan production for 4 weeks. Working time is 40 hours for every week. Demand amounts and selling prices of products, machine costs and production times are given in the tables below. Company does not have to open all machines. Using a machine has a fixed cost. Inventory costs are 0,1 for every week and product. There are some constraints that: a) Machine D can do the same work with A and B do together. A and B are useless without each other. Therefore, both of them must be used or not used and if they are used D must not be used. IfD is used, A and B must not be used. b) Machines are used For product E: A,B,C or CD; For product F: A,B or D; For product G: C. c) Demand must be satisfied and selling amount always equals demand. Formulate an LP model to maximize profit. Demand(unit) Week 1 Week 2 Week 3 Week 4 E 1200 1000 750 500 F 1000 900 650 400 G 600 800 1000 1200 Machine Costs (S) A B C D Fixed Cost 200 150 150 250 Unit Cost (Per Unit) 1 1,2 2 2,4 Production Time (Hours/unit) A B C D E 1/50 1/50 1/100 1/80 F 1/60 1/60 1/80 G 1/30 Selling Price (S) Week 1 Week 2 Week 3 Week 4 E 3 3 3,5 3,5 F 2,5 3 2,5 4 G 3,5 23 55 3,5 mm 3 A company has 4 machine named as A,B,C,D. This company produces product EEG by using these machines. Company wants to plan production for 4 weeks. Working time is 40 hours for every week. Demand amounts and selling prices of products, machine costs and production times are given in the tables below. Company does not have to open all machines. Using a machine has a fixed cost. Inventory costs are 0,1 for every week and product. There are some constraints that: a) Machine D can do the same work with A and B do together. A and B are useless without each other. Therefore, both of them must be used or not used and if they are used D must not be used. IfD is used, A and B must not be used. b) Machines are used For product E: A,B,C or CD; For product F: A,B or D; For product G: C. c) Demand must be satisfied and selling amount always equals demand. Formulate an LP model to maximize profit. Demand(unit) Week 1 Week 2 Week 3 Week 4 E 1200 1000 750 500 F 1000 900 650 400 G 600 800 1000 1200 Machine Costs (S) A B C D Fixed Cost 200 150 150 250 Unit Cost (Per Unit) 1 1,2 2 2,4 Production Time (Hours/unit) A B C D E 1/50 1/50 1/100 1/80 F 1/60 1/60 1/80 G 1/30 Selling Price (S) Week 1 Week 2 Week 3 Week 4 E 3 3 3,5 3,5 F 2,5 3 2,5 4 G 3,5 23 55 3,5 mm 3