The following questions are associated with the facilities layout problem shown below. The problem contains three plants supplying four customers or ware houses. Recall that ci,j refers to the cost associated with serving customer i from facility j. A solution {xi,j: i = 1,2,3,4, j = 1,2,3} refers to the amount of product that flows to customer i from facility j. You are given the following solution: x1,1 = 100, x2,1 = 250, x3,3 = 75, x4,3 =300, all other xi,j = 0. Please answer the following questions. a. Objective Function: Use the solution and the information found in ci,j to find the value of the objective function. b. Capacity Constrain: Use the information contained in the Facility Layout Problem and solution to verify that the capacity contrains are not violated. c. Demand Constrain: Use the information contained in the Facility Layout Problem and solution to verify that the customer demand constraints are satisfied.