Specify the classes of the following Markov chains, and determine whether they are transient or recurrent: P1 = 0 1 2 1 2 1 2 0 1 2 1 2 1 2 0 , P2 = 0 0 0 1 0 0 0 1 1 2 1 2 0 0 0 0 1 0 , P3 = 1 2 0 1 2 0 0 1 4 1 2 1 4 0 0 1 2 0 1 2 0 0 0 0 0 1 2 1 2 0 0 0 1 2 1 2 , P4 = 1 4 3 4 0 0 0 1 2 1 2 0 0 0 0 0 1 0 0 0 0 13 2 3 0 1 0 0 0 0

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950