Please help and show all work. Will rate if correct and complete!

1. The Cost-Less Corp. supplies its four retail outlets from its four plants. The shipping cost per shipment from each plant to each retail outlet is given below. Plants 1,2,3 and 4 make 10,20,20, and 10 shipments per month, respectively. Retail outlets 1,2,3, and 4 need to receive 20,10,10, and 20 shipment per month, respectively. The distribution manager now wants to determine the best plan for how many shipments to send from each plant to the respective retail outlets each month. The manager's objective is to minimize the total shipping cost. (a) (points: 4) Formulate this problem as a transportation problem by constructing the appropriate representation table. Remark: The parameter table is the table with all data of the problem, and it appeared in one of the lecture slides for Amazon shipping problem. You do not need to write down the optimization formulation for this problem. (b) (points: 4) Solve the problem and report the optimal solution and optimal cost. You can use any software to solve the problem; if so, please provide take a snapshot and paste the picture in the solution file. (c) (points: 4) If the demand of outlet 3 increases to 50 , and the supply of plant 4 increases to 40 , how do you change the problem formulation to make it feasible? Remark: You can simply describe the way to modify model, and do not need to produce the optimal solution