. Problem 1: Transportation Problem (23 points) Hillier Chapter 3, 3.28 (e-book page 167) a. Define the decision variables of this problem. (i.e. verbally describing them). (3 points) b. Provide the algebraic formulation of the objective function. (3 points) Formulate this problem as a Transportation Model on a spreadsheet and use Excel's Solver to determine how much should be shipped from each plant to each of the distribution centers to minimize the total shipping cost. (Provide the corresponding Excel Spreadsheet" and the "Answer Report"). Include "managerial statements" that communicate the results of the analyses (i.e. describe verbally the results). (17 points) 3.28. The Childfair Company has three plants producing child push chairs that are to be shipped to four distribution cen- ters. Plants 1, 2, and 3 produce 12, 17, and 11 shipments per month, respectively. Each distribution center needs to receive 10 shipments per month. The distance from each plant to the respective distribution centers is given below. Distance to Distribution Center (Miles) 1 2 3 4 Plant 1 2 3 W N 800 1,100 600 1,300 1,400 1,200 400 600 800 700 1,000 900 The freight cost for each shipment is $100 plus 50 cents/mile. How much should be shipped from each plant to each of the distribution centers to minimize the total shipping cost? Formulate this problem as a transportation problem on a spreadsheet and then use Solver to obtain an optimal solution