2. (3 Points) Three car companies need to supply cars for three retail stores. The table below shows supply capacity, demand, and transportation costs for shipping a car from manufacturers to retail stores. Penalty cost for each unmet demand is $20, $27 and $16 for each customer respectively. Manufacturer 1 Manufacturer 2 Manufacturer 3 Demand Retail 1 17 15 19 200 Cost Retail 2 24 21 22 100 Retail 3 19 25 18 200 Supply 123 143 84 a) Please formulate an LP that can minimize the total cost of transporting cars from manufacturers to retail stores. b) Solve this LP by using LINDO c) Please solve this problem by using the Northwest Corner method. d) Compare and discuss the results you obtained in (b) and (c)