Problem Set 2
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Prof. Abraham C. Camba Jr. Mathematical Economics (ECO 05) Economics Department San Beda College
PROBLEM SET 2
1. Expand each of the following: a) (x+2y)2 b) (1/x – x)2
c) (3u-5v)2 d) (2z-5w)(2z+5w)
2. Expand and simplify: a) 5a2-3b-(-a2-b)-3(a2+b) b) –x(2x-y)+y(1-x)+3(x+y)
c) 12t2-3t-16-2(6t2-2t+8)
3. Factor the given expressions: a) K3 - K2L b) KL3 + KL c) L2 - K2
d) K2 - 2KL + L2 e) K3L - 4K2L2 + 4KL3 f) K-3 - K-6
4. A population increased from 40 million to 60 million in 12 years. What yearly percentage growth rate p achieves this increase? 5. A firm using x units of inputs produces 32x3/2 units of its output by using process A, or 4x3 units by using process B. For what levels of input does process A produce more than process B? DUE DATE: September 9, 2009 References: 1. Chiang, Alpha C. Fundamental Methods of Mathematical Economics. Singapore: McGraw-Hill, 1984 2. Jacques, Ian. Mathematics for Economics and Business. 2003 (GC519.5 J164) 3. Klein, Michael W. Mathematics for Economics and Business. 1998 (GC330.0151) 4. Thomas, R. L. Using Mathematics in Economics, 2nd ed. Wokingham, England: Addison-Wesley, 1995. “Providing honorable things, not only in the sight of the Lord, but also in the sight of men.” -
2 Corinthians 8:21
PROBLEM SET 2
1. Expand each of the following: a) (x+2y)2 b) (1/x – x)2
c) (3u-5v)2 d) (2z-5w)(2z+5w)
2. Expand and simplify: a) 5a2-3b-(-a2-b)-3(a2+b) b) –x(2x-y)+y(1-x)+3(x+y)
c) 12t2-3t-16-2(6t2-2t+8)
3. Factor the given expressions: a) K3 - K2L b) KL3 + KL c) L2 - K2
d) K2 - 2KL + L2 e) K3L - 4K2L2 + 4KL3 f) K-3 - K-6
4. A population increased from 40 million to 60 million in 12 years. What yearly percentage growth rate p achieves this increase? 5. A firm using x units of inputs produces 32x3/2 units of its output by using process A, or 4x3 units by using process B. For what levels of input does process A produce more than process B? DUE DATE: September 9, 2009 References: 1. Chiang, Alpha C. Fundamental Methods of Mathematical Economics. Singapore: McGraw-Hill, 1984 2. Jacques, Ian. Mathematics for Economics and Business. 2003 (GC519.5 J164) 3. Klein, Michael W. Mathematics for Economics and Business. 1998 (GC330.0151) 4. Thomas, R. L. Using Mathematics in Economics, 2nd ed. Wokingham, England: Addison-Wesley, 1995. “Providing honorable things, not only in the sight of the Lord, but also in the sight of men.” -
2 Corinthians 8:21
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