Consider a manufacturing system that follows the following steps: a part to be manufactured will begin the process by entering step A. After step A, 15% of the parts must be reworked, i.e., returned to step A, 5% of the parts are salvaged, and 80% proceed to step B. After step B, 10% of the parts must be returned to step A, 2% are salvaged, 88% of emerged to be sold for a profit. Define an appropriate Markov Chain that represents the production process for a part (define the state variable and the state space).