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1.In a certain department of a factory there are two shops. Total departmental overheads for a year are `1,20,000 and the estimated number of direct

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1.In a certain department of a factory there are two shops. Total departmental overheads for a year are `1,20,000 and the estimated number of direct labour hour is 24,000 (10 men employed for 48 hours per week during 50 weeks in the year). From the particulars given below calculate the prime cost and works cost of a work order No. 54 which passes through both shops:

(1) Material consumed `1,000.

(2) Direct labor hours shop A -8hrs at '6.00 per hour

Shop B-5hrs 7.50 per hour

3) Works overheads are to be levied by means of a direct hour rate

2.How can consumer satisfaction be measured using perspectives of financial and non-financial measures.

3.What is just in time technique for managerial accounting.

4.How do you measure impact of managerial control on employees behavior

5.What are some alternative methods of measuring value of intangible assets

6.What impacts do managerial accounting for operation managers have in decision making and planning.

7.Discuss the need of database logical structures and their significance in effective management of database.

8.Why are retained earnings not distributed to shareholders in a public company.

9.State and explain when a company should report a balanced sheet

10.Why is volume a totally independent variable from price in the market

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A Markov chain with state space {1, 2, 3} has transition probability matrix 0.6 0.3 0.1\\ P. = 0.3 0.3 0.4 0.4 0.1 0.5 (a) Is this Markov chain irreducible? Is the Markov chain recurrent or transient? Explain your answers. (b) What is the period of state 1? Hence deduce the period of the remaining states. Does this Markov chain have a limiting distribution? (c) Consider a general three-state Markov chain with transition matrix P11 P12 P13 P = P21 P22 P23 P31 P32 P33 Give an example of a specific set of probabilities p;; for which the Markov chain is not irreducible (there is no single right answer to this, of course !).2. A Markov chain with state space {1, 2, 3} has transition probability matrix 00 0.3 0.1 a: 0.3 0.3 0.4 0.4 0.1 0.5 (a) Is this Markov chain irreducible? Is the Markov chain recurrent or transient? Explain your answers. (b) What is the period of state 1? Hence deduce the period of the remaining states. Does this Markov chain have a limiting distribution? (c) Consider a general three-state Markov chain with transition matrix 3011 3012 1013 P = P21 P22 P23 1031 P32 P33 Give an example of a specic set of probabilities jag-'3; for which the Markov chain is not irreducible (there is no single right answer to this1 of course l]. 4. Consider the Markov chain X" = {X,} with state space S = {0, 1, 2, ...} and transition probabilities 1 ifj=i-1 Puj = 10 otherwise , for i 2 1 and Poo = 0, Poj = for j > 1. (a) Is this Markov chain irreducible? Determine the period for every state. (b) Is the Markov chain recurrent or transient? Explain. (c) Is the Markov chain positive recurrent? If so, compute the sta- tionary probability distribution. (d) For each state i, what is the expected number of steps to return to state i if the Markov chain X starts at state i? 5. Consider a Markov chain X = {X} with state space S = {0, 1, 2, ...} and transition probability matrix 0 1 0 0 P 0 0 P = O p 0 q 0 0 . . . 0 0 P 0 4 0 Here p > 0, q > 0 and p+q =1. Determine when the chain is positive recurrent and compute its stationary distribution

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