a. A farmers' cooperative association plans to build a new sugar mill in Georgetown. The primary objective of the mill is to provide the farmers with a place to take their crop for processing that will reduce their transportation costs. The meanbers of the co-op believe that the eenter-of-gravify method is appropriate for this objective. While there are over 200 sugar cane farms in the region, they are tightly clustered around six villages. Using the data below; use the center-of-gravity method to calculate the coordinates of the best location for this mill. All mileage feferences use Browns Town as (0,0). [10 marks] A manager has feceived an analysis of several cities being considered for a new order fulfilment center (warchouse) for the Shop an Home Network. The scores (scale is 10 points - best) are contained in the table below. i. If the manager weights the factors equally, how would the locatioes be ranked? [3 marks] ii. If transportation costs and real estate costs are given weights that are triple the weights of the others, should the locations be ranked differently? [3 marks] c. The manager of a car soft drinks facility wants to expand its operations in the coming year. He wants to build a new facility to do so. There are three possible locations for this facility. The fixed and variable costs involved are given in the table selow: MGMT2026 Production and Operations Management Semester 120232024 1. Based on costs, over what range of units will location A be preferred? ii. Based on costs, over what range of units will location B be preferted? iii. Based on costs, over what range of units will location C be prefecred? N.8. Show all working [3 marks] [3 marks] [3 marks]