2. [30 points] An international manufacturer wants to decide where to locate their manufacturing facilities. The manufacturer operates in five different regions: NA, SA, EU, AS, and AF. There are five potential manufacturing facility locations: USA, Brazil, Germany, China, and Nigeria. In each location, they can build either a low capacity or high capacity plant. The transportation costs, demand, fixed cost of each low and high-capacity plants are as follows: a. Which facilities should be operated? Which size? What are the shipped quantities to each demand region from each supply country? What is the total operating cost? b. The firm is considering to add a new facility in India, which has a capacity of 20 (thousand) units. The fixed cost of the facility would be $7.0Mn. (A low capacity plant is not an option for India.) Transportation cost from India to the demand regions are as follows: Modify the LP and solve the problem again. Which facilities should be operated? Which size? What are the shipped quantities to each demand region from each supply country? What is the total operating cost