Amrita Vishwa Vidyapeetham 2007 M.B.A Qualitative And Quantitative Methods MB 403 - Question Paper

M.B.A. Qualitative And Quantitative Methods MB 403 May 2007
Time : 3 hours Maximum: 100 marks
PART A — (5 ? eight = 40 marks)
ans any 5 ques..
1. Briefly discuss the relationship ranging from cost-volume-profits.
2. What is decision model? discuss any 1 decision model.
3. Define Simulation and discuss the importance of simulation.
4. Write the dual of provided LPP :


5. What do you understand by means of ‘conditional probability’?
6. Explain unbounded solution in linear programming with an example.
7. What are pay-off and regret functions? How can entries in a regret table be derived from a pay-off table?
8. Krishna Limited provide you the subsequent info :
Sales Profit
Period I 15,000 400
Period II 19,000 1,150
Calculate :
(a) Profit quantity Ratio.
(b) Break Even Point.
PART B — (4 ? 15 = 60 marks)
ans any 4 ques..
9. Solve graphically, the subsequent LPP :
Maximize

10. A bag contains three white balls, four red balls and five black balls. 2 balls are drawn at random, obtain the probability that
(a) Both are red.
(b) Both are white.
(c) One red and other is white.
11. The demand distribution of product is shown beneath :
Demand (tons) : 25 26 27 28 29 30
Probability : 0.2 0.3 0.3 0.1 0.005 0.05
Determine the avg. demand of the product using simulation.
12. The Aa-Ka Electronics is engaged in producing a certain component which is sold at a uniform price of Rs. eight every. The variable cost of producing the component amounts to Rs. 4.80 per unit while the fixed cost amount to Rs. 24,000. How many units of the component must be produced and sold so that the company break even, how much sales would be made at this level of activity?
13. Solve the subsequent transportation issue for maximum profit :
Market (per unit profit is Rs.)
Warehouse A B C D
X 12 18 6 25
Y 8 7 10 18
Z 14 3 11 20
Availability of warehouse : X = 200 units, Y = 500 units;
Z = 300 units.
Demand in the market : A = 130 units, B = 320 units,
C = 100 units, D = 400 units.
14. A finished product must weight exactly 150 gms. The 2 raw materials used in manufacturing the product are A, with a cost of Rs. two per unit and B with a cost of Rs. eight per unit. Atleast 14 units of B and not more than 20 units of A must be used. every unit A and B weigh five and 10 gms respectively. How much of every kind of raw material should be used for every unit of final product in order to minimise the cost? Use simplex method.
15. Explain the kind of probabilities under statistical independence with relevant example

Earning:   Approval pending.