Amrita Vishwa Vidyapeetham 2007 M.C.A Managing Resources And Its Risks - Question Paper

M.C.A. MAY 2007

Managing Resources And Its Risks

Time : 3 hours Maximum : 100 marks
ans any 5 ques..
1. (a) What is linear programming? (5)
(b) Explain the different applications of linear programming in management. (15)
2. Two materials A and B are needed to construct tables and book cases. For 1 table 12 units of A and 16 units of B are needed while for a book case 16 units of A and eight units of B are needed. The profit on bookcase is Rs. 25 and Rs. 20 on a table. 100 units of material A and 80 units of B are available. How many bookcases and tables be produced to have maximum profit.
(a) Formulate this as a LPP. (8)
(b) Solve it by simplex method. (12)
3. (a) What do you understand by a queue? (5)
(b) Enumerate various kinds of queuing model. (15)
4. There are clerks in a university to receive dues from the students. If the service time of every learner is exponential with mean four minutes, and it the students arrive in a Possion fashion at the counter at the rate of 10 per hour
(a) What is the probability of having to wait for service?
(8)
(b) What is the expected percentage of idle-time for every clerk? (12)
5. (a) What is inventory control? (5)
(b) Discuss the different costs involved in inventory models. (15)
6. (a) A company purchases 3 items A, B are C. There annual demand and unit prices are provided in the subsequent table.
Items Annual demand (units) Unit price (Rs.)
A 100000 3
B 80000 2
C 600 96
If the company wants to place 40 orders per year, for all the 3 items. What is the optimal number of orders for every them?
(b) What do you mean E.O.Q. represent it by diagram?
7. The subsequent data pertains to a few network. It is desired to compress the project to the (20)
(a) Least possible deviation
(b) Estimate the extra cost.
i–i Tn Tc Cost slope
1–2 3 2 700
1–3 7 4 200
2–3 5 3 100
2–4 8 6 200
3–4 4 2 400
8. Machine B costs Rs. 10,000. Annual operating of costs are Rs. 400 for 1st year and they increase by Rs. 800 every year. Machine A which is 1 year old costs Rs. 9,000 and annual operating costs are Rs. 200 for 1st year and they increase by Rs. 2,000 every year
(a) Determine at what time is it profitable to change machine A with B. (it is presumed that machines have no resale value and the future costs are not discounted. (18)
(b) Write short note on Recorder. (2)

Earning:   Approval pending.