A plant location problem has been posed. There are two possible locations to build a new plant, A or B, and two locations of customers to be served, C and D. Each plant has a maximum capacity of 500 units per day. The demands and production costs are shown below: Arc Cost per unit (US$) A-C A-D B-C B-D Client с D $1.00 $3.00 $4.50 $1.00 Minimum demand (units per day) 200 250 Factory A B Fixed costs per day (US$) $700 $610 A plant location problem has been posed. There are two possible locations to build a new plant, A or B, and two locations of customers to be served, C and D. Each plant has a maximum capacity of 500 units per day. The demands and production costs are shown below: 1. Name the variables and formulate the objective function and the constraints for the choice of which plant to build taking into account economic criteria. 2. Perform the formulation in R or Matlab and obtain the optimal values of the variables and the objective function. 3. Indicate and interpret the answer in an explicit and orderly way.