c. The market share of two companies A and B is 30% and 70% in the current time period. Theinformation obtained in terms of the customer loss and retention is given by the matrix P.[0.3 0.2]P =Lo.7 0.8]i.Determine the transition probability matrix in the 1st and 2nd month.ii.What is the steady state of the two companies?

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Answered: .The market share of two companies A…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Appointments in a medical office are scheduled every 15 minutes. Throughout the day, appointments will be running on time or late, depending on the previous appointment only, according to the following matrix of transition probabilities: Previous Appointment Next Appointment On Time Late On Time .70 .30 Late .45 .55 What are the steady state probabilities?
The company has this probability of daily sales of a perishable product: Volume 100 150 200 250 Probability 0.2 0.5 0.2 0.1 Company wants a 90% service level, initial stocks each day should be (D) a.250 b.150 c.200 d.160
The four brands of soap have the current market share of 0.23, 0.28, 0.25, and 0.24 for brands A, B, C, and D, respectively. Below are the transition probability matrix of the soap brands based on their annual performance and the number of customers using the brands. 0.4 2300 T 0.3 2800 0.2 2500 2400 From/To A B C D A 0.2 0 0.3 0.3 B 0.3 0.2 0.5 0.4 C 0.1 0.5 0 0.3 D 0 a) What is the market share of Brand D in the long run? Answer in 2 decimal places. c) What is the mean return time of Brand A? Answer in 2 decimal places. b) How many customers will shift preference in using Brand C soap in the long run? Number of Customers d) What is the percentage change of Brand B? Answer in percentage and in 2 decimal places.
1. A beverage manufacturing company uses a pair of redundant pumps to transfer flavored syrups to the bottling line. Each pump has a À of 0.055 failures per year and ß of 0.05. What is the probability that both pumps will fail during a 45 day production run? a. 0.00004 b. 0.00034 c. 0.00038 d. 0.12
8.
Assume the chances of failure of each component is given in Figure. What is the probability that the system would not work? .
The table below contains the covariance matrix of stock returns and the market. Assume that the assumptions of CAPM hold. 1. Find the systematic risk of "WhiteChip". 2. Find the specific (non-systematic) risk of "WhiteChip"
If A, u are the rates of arrival and departure in an M/M/1 queue respectively, give the formula for the probability that there are n customers in the queue at any time in the steady-state.
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Is there a unique way of filling in the missing probabilities in the transition diagram shown to the right? If so, complete the transition diagram and write the corresponding transition matrix. If not, explain why. 0.3 OA. Yes. The probability of transition from A to A is probability of transition from C to B is. (Type integers or decimals.) 0.4 0.5 0.7 B 0,2 0.1 Is there a unique way of filling in the missing probabilities in the transition diagram? If so, identify the missing probabilities. If not, explain why. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. the probability of transition from B to C is and the OB. No. It is possible to find the probability of transition from A to A, but the probability of transition from B to C is needed to find the probability of transition from C to B (and vice versa). OC. No. At least one of the missing probabilities is needed to find the other two. OD. No. It is possible to find the probability…

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