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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI 600 034
B.A.DEGREE EXAMINATION -ECONOMICS
FIRST SEMESTER APRIL 2018
17/16UEC1MC02- MATHEMATICS FOR ECONOMICS
Date: 26-04-2018 Dept. No. Max. 100 Marks
Time: 09:00-12:00
PART-A
Answer any FIVE questions in about 75 words each 5x4=20
1. Solve 8x 2-22x-21=0
2. Draw the graph of 3x+2y=11
3. Find the value of the determinant
1 18 72
2 40 148
2 45 150
4. Define Differentiation.
5. Explain Definite Integral.
6. Write short note on optimization.
7. Find the Maximum and Minimum values of the function
PART-B
Answer any FOUR questions in about 300 words each 4 x10=40
8. Derive the following relationships between AC and MC
when AC falls, MC AC
ii) when AC rises, MC AC
9. For a commodity, the demand law is 3p+2x=27 and supply law is 6p-2x=9.
Obtain the equilibrium price.
10. Let
2 1 and 3 4
4 2 3 1 3
Show that
2
11. State the various rules of Differentiation.
12. Find the first and second order partial derivatives for Z=3x 3-2x2 y+2xy2+y3+8.
13. Explain the economic applications of maximization and minimization of a function.
14. Derive the relationship between AC and MC.
PART-C
Answer any TWO questions in about 900 words each 2x20=40
15. Solve the following equation by cramer's rule.
2x-3y=3 and 4x-y=11.
16. Let
i.y= find dy/dx.
ii. Find the differential Coefficient of
w.r.to x and
iii. (3x 3+5x w.r.to x.
17.The demand function for a commodity is p=20-3q and the supply function
on the market is p=2q. Find the Consumer's surplus.
18.Explain the various types of economic functions and the procedure for
solving the functions.