# HW7 - MAE9 Homework#7 Fall 2006 Due on Thursday November 9...

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/* MAE9: Homework #7, Fall 2006 Due on Thursday, November 9, before 9:00 pm In void prob1(void), predict the market fractions of three dairies A, B, C (i = 0, 1, 2) that supply all the milk consumed in Rosie Town. We assume that the overall number of customers in the town N does not change. The initial fractions of the total market on December 31 is shown by x0[], i.e., the dairies A, B, C have, respectively, {0.2, 0.3, 0.5} of the market. Let the transition matrix [A] be shown by a[][], where a[i][i] = fraction of i's customers, x0[i], retained by i and a[i][j]= fraction of j's customers, x0[j], that switch to i (if i != j). Then, the market fractions on January 31 is obtained by {x1} = [A]{x0}. For example, in January the dairy A retains a fraction a[0][0] of its own customers and attracts a fraction a[0][1] of B's customers and a[0][2] of C's. Assuming that the transition matrix does not change, predict the market fractions at the end of February, March, April, . .., December. Print the results for each month using

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## This note was uploaded on 05/22/2008 for the course MAE 9 taught by Professor Lubarda during the Fall '07 term at UCSD.

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HW7 - MAE9 Homework#7 Fall 2006 Due on Thursday November 9...

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