Question

The same scenario is used for the remainder of the questions.

A psychiatrist clinic classifies its accounts receivable into the following four states

State 1. Paid
State 2. Bad debt
State 3. 0-30 days
State 4. 31-90 days


The clinic currently has $8000 accounts receivable in the 0-30 days state and $2000 in the 31-90 days state. Based on historical transition from week to week of accounts receivable, the following matrix of transition probabilities has been developed for the clinic

pls show work

A psychiatrist clinic classifies its accounts receivable into the following four states State 1. Paid State 2. Bad debt State 3.0-30 days State 4. 31-90 days The clinic currently has $8000 accounts receivable in the 0-30 days state and $2000 in the 31.90 days state. Based on historical transition from week to week of accounts receivable, the following matrix of transition probabilities has been developed for the clinic [ 1.0 0.0 0.0 0.01 0.0 1.0 0.0 0.0 0.5 0.0 0.4 0.1 10.6 0.1 0.2 0.1 The matrix I-Q can be calculated as 0,- Q - [ 0:0 0:0] - [ 0.1 0:2 3+1 -0.1 0.9] °/-2 -1 1:0 0:01 - 10:00:41-L 1:0, -0.4) i][-0.1 0.8 01_ 0.5 0.0 9,-2-[1.00:] - [0:6 Ol D-1-0.6 0.9) 0,-0-[-100 :O] - [0:2 0:1 ]-[-20) None of the above

Answer 1

Sol tä Giren To D- 10.0 10.5 10.6 0.0 1.0 0.0 0.1 0.0 0.0 0.4 0.2 0.0 0.0 0.02 0.1 The o matrix is given by - 8 = 10.4 10.2 0. 0.1 3-1 The matrix To. 0.0 Iho- 11.0 10.2 0.1 I-a - 10.0 10.6 1-0.2 1.0 – 0. 0.9 9.2 N = (1-0) det (1-0) 16-1209- (-:-) (+0) de1-8)= -0.52

Adjoint A deta Adjoint (1-& det (1-0) J 70.9 -6-0-1)] 0.52 (62) 0.6 Adjoint of 2x2 malaix 2 ] is given by a 1.7308 0.1923] 10-3846 71538 [ N = H (1-0) 9-3 NR 10-11.7308 0.1923 10.5ool 10.3846 1:1538 0.6 o.lt 117308X0.5+0:1923X0:1 1.7308700 +0-192380) 0-3846X0.0 10.3846x0.5t 1 1.133880.6 +1. 1538801

NR= 10.9808 0.01927 10.8846 0.1154 so option is correct 0-4 BNR Given $8000 accounts receivable in 0-30 days & $2000 accounts receivaba in 31-90 days SO 10.9808 0.0192 BINR) = (80000 2000 16.8846 0.1156) 12000* 0.9808 8000+ 0.0192 +2000*0-8846 72000 * 0.1154 = 19615.38 384.62] 10-5 so from 0-4 we have the amount eventually paid & the amount eventually become bad doblon I $9615.38 & $384.62 Coption of

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