Use SITATION and the 88-node data set (CITY1990.GRT) (a) to plot the total cost as a function of the number of facilities located for a cost per mile of XXXXXXXXXXUse the ADD heuristic in the TRADEOFF...

Use SITATION and the 88-node data set (CITY1990.GRT)

(a) to plot the total cost as a function of the number of facilities located for a cost per mile of 0.001. Use the ADD heuristic in the TRADEOFF curve MAIN MENU OPTION.

(b) What is the optimal number of facilities found in part (a)?

(c) What is the range of the number of facilities found such that the total cost is within 2% of the optimum?

(d) Again using the ADD heuristic, complete the following table:

(e) Use a regression model to fit an equation of the following form to the data in the table above:

“Optimal” number = a (cost per mile)^b

In other words, find the least squares estimates of the values of a and b above.

(f) What does the value of b tell you about the sensitivity of the optimal number of facilities to changes in the total demand level?