In a Word document, state the algebraic formulation (identify the decision variables, the objective function and the constraints) for each problem and answer the questions in the problem. Attached the Excel spreadsheet model for each problem to support your answers. Use formatting (labels, colors, borders) to enhance the readability of your models. 3.2 Balance Requirements: Revisit the Goodwin Manufacturing Company (Example 3.4). Imagine a policy requiring that every shipping route must be used and, in particular, that the shipment volume on any route out of a plant must be at least 20% of the total volume leaving that plant. (a) By how much does the optimal total cost increase as a result of the set of minimum requirements? (b) How many shipment quantities are altered by the imposition of the 20% floor" requirements? You are the logistics manager for Goodwin. You have three plants that produce a product. You have four warehouses where you can stock the product. Each week we need to transport boxes/cartons of the product to the warehouse. Plants Cost per unit Warehouses Demand Supply 0.60 10,000 Minn 1 Atlanta 4 8,000 0.56 0.22 0.40 Boston 10,000 0.36 0.30 5 Pitt 15,000 2 0.28 0.58 0.65 Chicago 6 12,000 0.68 0.55 15,000 Tucson 3 Denver 0.42 10,000 7