1. A single operations plant needs to meet the demands of 5 markets. The locatio
ID: 449049 • Letter: 1
Question
1. A single operations plant needs to meet the demands of 5 markets. The location and demands are:
Market Coordinates Demand
a (9,6) 15
b (4,12) 10
c (8,6) 15
d (3,2) 6
e (5,2) 7
Compute the x and y centers of gravity.
2. Consider the following tableau. There are 5 facilities that ship to 4 locations. The supply from the facilities and the demands for the locations are specified. Use the transportation method to determine the optimal shipping scheme such that the total transportation cost is minimized? Note you can use this website:
https://www.easycalculation.com/operations-research/minimum-transportation-least-cost-method.php
Facility Loc A Loc B Loc C Loc D Supply
1 $12 $23 $15 $13 400
2 $17 $11 $4 $6 400
3 $13 $19 $14 $6 300
4 $10 $6 $8 $8 200
5 $21 $5 $22 $21 200
Demand 500 350 250 400 1500
Explanation / Answer
Dear Student, only one question is allowed at a time.
1)
Center of gravity for x = (9 x 15 + 4 x 10 + 8 x 15 + 3 x 6 + 5 x 7) / (15+10+15+6+7) = 6.56.
Center of gravity for y = (6 x 15 + 12 x 10 + 6 x 15 + 2 x 6 + 2 x 7) / (15+10+15+6+7) = 6.15
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