Case Study The Galaxy Protectors Company (GPC) produces four types of clones: light infantry, medium Infantry, heavy infantry and lightsaber infantry, GPC also produces engineers and pilots. Planet capacities limit total production to at most 300 clones per year. Light, medium and heavy infantries are cloned together in a facility with total capacity of 100 clones. Lightsaber infantries are cloned in another facility with capacity of 50; lastly engineers and pilots have a capacity of 200 clones in total. GPC's marketing strategy requires that light, medium and heavy infantry types must constitute at least one third of the clone mix for all of the infantry types. Profits, market supply, and raw clone material efficiencies are given in a separate excel file. The Galaxy Average Raw Material Efficiency (GARME) standards in the Clone Material Policy require an average raw clone material efficiency of 25 kg per clone. GPC wants to determine the number of cach clone type to produce 2-) Write a mathematical model that maximizes the total profit. Define your decision variables clearly. Solve your model using CPLEX Studio OPL. Use the excel data file you have been provided. b-) GPC has decided to redesign the light, medium and heavy infantry facility and the total capacity of this facility has been decreased to 60 clones. Will you recommend this redesign to GPC? Why? c-) If the GARME standards require an average raw clone material efficiency of 35 Kg per clone, which clones will be produced to obtain the optimal solution? Case Study The Galaxy Protectors Company (GPC) produces four types of clones: light infantry, medium Infantry, heavy infantry and lightsaber infantry, GPC also produces engineers and pilots. Planet capacities limit total production to at most 300 clones per year. Light, medium and heavy infantries are cloned together in a facility with total capacity of 100 clones. Lightsaber infantries are cloned in another facility with capacity of 50; lastly engineers and pilots have a capacity of 200 clones in total. GPC's marketing strategy requires that light, medium and heavy infantry types must constitute at least one third of the clone mix for all of the infantry types. Profits, market supply, and raw clone material efficiencies are given in a separate excel file. The Galaxy Average Raw Material Efficiency (GARME) standards in the Clone Material Policy require an average raw clone material efficiency of 25 kg per clone. GPC wants to determine the number of cach clone type to produce 2-) Write a mathematical model that maximizes the total profit. Define your decision variables clearly. Solve your model using CPLEX Studio OPL. Use the excel data file you have been provided. b-) GPC has decided to redesign the light, medium and heavy infantry facility and the total capacity of this facility has been decreased to 60 clones. Will you recommend this redesign to GPC? Why? c-) If the GARME standards require an average raw clone material efficiency of 35 Kg per clone, which clones will be produced to obtain the optimal solution