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Sagot :
Decision Variables
Out of the given five outdated data centers, the question raised is about-- which are to be upgraded so as meet the conditions at the minimal possible cost.
Let X1, X2, X3, X4 and X5 represents the variables corresponding to data centers at Michigan, New York 1, New York 2, Ohio and California independently. These variables can take the double values of zero( not named for upgradation) or one( in case named for upgradation).
Ojective function
As mentioned in the history and submitted above the ideal is to minimize the total cost of the added capacity.
The total cost of added capacity in terms of the below mentioned decision variables is given as follows
Minimize Z = 2.5 X13.5 X23.5 X3 4X4 2X5
The constraint is about the vacuity and demand for the total increase in capacity of 90 Secure waiters and 90 Super Secure waiters. In terms of decision variables the constraints are as follows
50X1 80X2 40X3 90X4 20X5> = 90( Secure waiters)
30X1 40X2 80X3 60X4 30X5> = 90( Super Secure waiters)
Eventually X1, X2, X3, X4, X5 are double.
The optimal result is as follows. Upgrade Michigan and New York 2 data centers with total cost of$ 6 millions.
To know more about decision variables, click on the link below:
https://brainly.com/question/15233471
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