(1) Factor-Rating Method A company is considering to locate a new plant in possibly in three sites. The relevant factors, their weights, and the scores obtained by the three sites are given in the table below. The scores are given out of 100: Site 1 scores Site 3 scores Site 2 scores 65 90 100 Location factor Weight Proximity to customers 0.30 Proximity to suppliers 0.20 Labor pool and climate 0.15 Labor productivity 0.15 Community environment 0.10 Shipping modes 0.05 Air service 0.05 Determine which site should the company select? 50 (2) Breakeven Analysis A company is considering building a plant in one of the three communities. They have estimated the following costs for each location: Community Fixed Cost Variable Cost A $150,000 $300,000 $62 $38 B C $500,000 $24 For what unit sales volume should they choose each location? (3) Center of Gravity Method A plant would prefer to locate close to its four distribution centers of its products. The location of the distribution centers and the load that is transported to them on a monthly basis is given hesis is given in the table below. Determine the location of the plant using the center-of-gravity method. D2 X = 200 D4 X = 600 D1 X = 300 Y = 500 W = 400 Y = 200 W =900 D3 X = 550 Y = 400 W=200 Y=600 W = 100