We have a city with a square region divided into smaller divisions. The size of each division, in units of 10000 households, is given in the following grid and each household is equally likely to need service. A service (fire hall) location is to be chosen at either A or B on the following grid. .15 .2 .1 .6 .3 .1 .3 * * .4 .1 .2 * * .1 .7 A.05 B3 .4 .2 5 .4.2 The Manhattan) distance between any two divisions is 1 unit. The 2x2 region with * is a forest with no road passing through. So, for example, the shortest distance from (1.4) to B is 5. (a) Use simulation to find the expected distance from a random service call to each of A and B. (b) Use simulation to find the variance of the distance of a random service call to each of A or B. Use Ror EXCEL or any other computer package/language to do the assignment. Write up the project in proper manner (i.e. Explain what the objective is, explain how your computer code works, comment on the results and make a conclusion