In case the Rectilinear distance is considered, find the optimal coordinates (X,Y) of new facility. Q2) Show and label the exist
ing locations and the optimal location of new facility on a scatter chart.
1 answer:
Complete Question
The complete question is shown on the second uploaded image
Answer:
a
The optimal x coordinate is 50.76 and the optimal y coordinate is 46.34
b
The Scatter plot is shown on the second uploaded image
Explanation:
In this question we are given the annual demand and the annual cost per mile per ton. Now to obtain the annual cost per mile for the whole inventory we multiply the demand with the cost per mile per ton.
This shown on the third uploaded image
To obtain the optimal new coordinate let consider the location of the existing coordinates and the annual cost of the existing facilities
Mathematically the optimal x coordinate = (Summation of the old x coordinates multiplied by the annual cost per mile) /(Summation of the annual cost per mile )
i.e optimal new x coordinate =
For y
the optimal y coordinate = (Summation of the old y coordinates multiplied by the annual cost per mile) /(Summation of the annual cost per mile )
On the Scatter plot the existing location are in green while the optimal location is in white
The table that shows the given and obtained data is shown on the fourth uploaded image
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