4.1 Goodwin Manufacturing Model Revisited: Revisit the transportation model of this chapter and its optimal solution. a. Suppose that the unit cost for the Tucson-Atlanta route is open for negotiations. Perform a sensitivity analysis on this cost for a range of $0.60-$0.65 per carton. Construct a table showing the value of the optimal cost and the quantities shipped to Atlanta from each of the three plants. b. Suppose instead that expansion of Minneapolis plant is under consideration. Perform a sensitivity analysis on this capacity for a range of 10,000-30,000 cartons. Construct a table showing the value of the optimal cost in this range and produce a chart showing the results graphically