Q. 1 a) Describe the important quantitative techniques used in public system management. (10)
b) Do you think the day will come when all decisions are made with the assistance of quantitative methods? Give appropriate reasons and examples in support of your answer. (10)
Q. 2 a) Solve using Gauss-Jordan elimination (10)
2x1 + 4x2 -10x3 = -2
3x1 +9x2 - 21X3 = 0
x1 + 5x2 -12x3 = 1
b) Solve the following system equation by Cramer’s rule (10)
X1 + X2 = -1
2X1 - X2 = 7
Q. 3 a) Discuss basic concepts of a matrix and the methods of representing large quantities of data in matrix form. How can we apply matrix algebra in various decision models in business and management? (20)
b) In an economy there are two sectors A and B, the following table gives the supply and demand position of these in million rupees;
Producer Consumer Final Demand Gross Output
A B
A 15 10 10 35
B 20 30 15 65
Determine the total output, if the demand changes to 12 for A and 18 for B.
Q. 4 The following data pertain to the demand for a product in thousand of units and price charged I in rupees in eight different locations. (20)
PRICE DEMAND
14 150
12 180
15 112
13 140
18 86
15 124
9 223
a) Obtain the line of best fit.
b) Determine the coefficient of correlation
c) Interpret your results
d) Predict the demand if the price is Rs.10.
Q. 5 What are the best sources of data collection for the following? (20)
a) A bank loan officer wishes to forecast the economy of the country in which the bank operates.
b) A research project has the purpose of identifying the labor issues of concern to a union.
c) A manager must determine the best site for a convenience store in an urban area.
d) Median weekly earnings of full-time salaried workers for the range 1995-2000.
e) Annual sales of the top ten fast-food companies.
f) Number of airplane trips made by college students.