The accounting department of a large firm is interested in modeling the dynamic of its accounts receivable (that is, the money that is owed to it by its customers) when a charge sale occurs, abill is sent out at the end of the month .payment is due within thirty days ,but may not occure in that time. if no payment is received within six months of the billing date, the amount is classified as bad debt. thus, an individual account is described by its age in months, or by "paid" or by "bad debt".for numerical values, assume that the prob. that payment is made in the first month is 0.8 and decline by 0.1 each additional month. that is, the prob. it is paid in the second month is 0.7 ,in the third month is 0.6,and so on. formulate the terminating markov chain that describes the debt payment.