In a city, there are three grocery stores, denoted by A, B and C. Each month: - 12% of the customers of grocery store A become customers of grocery store B. -5% of the customers of B become customers of A. -10% of the customers of C become customers of A, -13% of the customers of C become customers of B. What is the transition matrix for this dynamic system?

In a city, there are three grocery stores, denoted by A, B and C. Each month: - 12% of the customers of grocery store A become customers of grocery store B. -5% of the customers of B become customers of A. -10% of the customers of C become customers of A, -13% of the customers of C become customers of B. What is the transition matrix for this dynamic system?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Similar questions

Suppose each matrix below represents the augmented matrix for a system of linear equations. For matrices (a) and (b), determine if the system is consistent. If the system is consistent, determine if the solution is unique. (Note that leading entries marked with an X may have any nonzero value and starred entries ( * ) may have any value including zero.) a. b. 0 0 0 0 0 0 a. Select the correct answer below. A. The system is consistent, with infinitely many solutions. B. The system is inconsistent. OC. The consistency of the system and the number of solutions cannot be determined with the given information. O D. The system is consistent, with a unique solution. b. Select the correct answer below. O A. The system is consistent, with infinitely many solutions. O B. The system is consistent, with a unique solution. C. The system is inconsistent. O D. The consistency of the system and the number of solutions cannot be determined with the given information.
Let A = (a) Use Gauss-Jordan elimination to put A into reduced row echelon form. (b) Write down a linear system involving two equations and two unknowns for which A is the associated augmented matrix.
A newspaper surveyed companies on the annual amount of money spent on television commercials and the estimated number of people who remember seeing those commercials each week. A soft-drink manufacturer spends $40.1 million a year and estimates 78.6 million people remember the commercials. For a package- delivery service, the budget is $22.9 million for 21.9 million people. A telecommunications company reaches 88.9 million people by spending a whopping $154.9 million. Which matrix below DOES NOT represent this situation? (All value in millions) 40.1 22.9 154.9 C = 78.6 21.9 88.9 21.9 22.9] C = 78.6 40.1 59°F Cloudy 一一
Suppose the coefficient matrix associated with a linear system has a pivot in each row. Can we say, with certainty, that the linear system is consistent or inconsistent? Defend your response.
using matrix
Write the payoff matrix for the given game, use Rachel as the row player. Two players, Rachel and Charlie, each have two cards. Rachel has one black card with the number 3 and one red card with the number 5. Charlie has a black card with a 6 written on it and a red card with a 1. They each select one of their cards and simultaneously show the cards. If the cards are the same color, Rachel gets, in dollars, the sum of the two numbers shown. If the cards are different colors, Charlie gets, in dollars, the difference of the two numbers shown.
There are two gas stations in town; Barny's and Auntie M's. In town each year, 16 % of Barnys customers switch to Auntie M's, and 7% of Auntie M's customers switch to Barny's. (Let Barny's be state 1 and Auntie M's be state 2) a) Complete the transition matrix that goes with this system below. (The rows on the right and the columns on top represent rooms 1 through 4 in order.) b) Find the fixed probability vector (t): 4. 1] c) What fraction of the areas market will Barny's eventually hold? d) What fraction of the areas market will Auntie M's eventually hold? 4. 1.
You have three types of ground coffee: cheap ($5/pound), medium ($8/pound), and expensive Arabica ($14/pound). You want to make a blend that costs $10/pound, and you want to make 50 pounds of it. You also want to be able to say "contains 20% Arabica" without lying. Set up and solve a linear system to find out how much of each type of coffee you should use, while spending the least money.