Consider a manufacturing station, which can be in 2 conditions. Either "up" or "down". If a machine is "up" on a given day, then it will be "up" the next day with a probability a=0.9. If a machine is "down", it will be "down" the following day with a probability B=0.6. In class we modeled this as a DTMC as follows: Xn S = {0, 1, 2} P = = Number of machines "up" on day n 0.36 0.48 0.16 0.06 0.58 0.36 0.01 0.18 0.81 Suppose that for each day that both machines are up, the company makes $1000, if only one machine is up they make $400, if both machines are down, they lose $300 If on day 0 you have 1 machine working, what is the expected profit on day 2?
Consider a manufacturing station, which can be in 2 conditions. Either "up" or "down". If a machine is "up" on a given day, then it will be "up" the next day with a probability a=0.9. If a machine is "down", it will be "down" the following day with a probability B=0.6. In class we modeled this as a DTMC as follows: Xn S = {0, 1, 2} P = = Number of machines "up" on day n 0.36 0.48 0.16 0.06 0.58 0.36 0.01 0.18 0.81 Suppose that for each day that both machines are up, the company makes $1000, if only one machine is up they make $400, if both machines are down, they lose $300 If on day 0 you have 1 machine working, what is the expected profit on day 2?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:Consider a manufacturing station, which can be in 2 conditions. Either "up" or "down". If a
machine is "up" on a given day, then it will be "up" the next day with a probability a=0.9. If a
machine is "down", it will be "down" the following day with a probability B=0.6.
In class we modeled this as a DTMC as follows:
Xn
S = {0, 1, 2}
P =
=
Number of machines "up" on day n
0.36
0.48 0.16
0.06 0.58 0.36
0.01 0.18 0.81
Suppose that for each day that both machines are up, the company makes $1000, if only
one machine is up they make $400, if both machines are down, they lose $300
If on day 0 you have 1 machine working, what is the expected profit on day 2?
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