Fall 2010 IEOR 160
Industrial Engineering & Operations Research
October 2, 2010 Page 1 of 3
HOMEWORK 5 SOLUTIONS
Chapter 12.4 7. Let T be the tax rate and e be the individual eort level. Given T , individual chooses e to 5 maximize f (e) = 10 e(1 T ) e. f
Fall 2010 IEOR 160
Industrial Engineering & Operations Research
September 25, 2010 Page 1 of 4
HOMEWORK 4 SOLUTIONS
Chapter 12.6 2. We wish to maximize f (q1 , q2 ) = 2(q1 + q2 ) q1 1.5q2 . To nd the stationary point(s) for f (q1 , q2 ), f 2/3 = 2q1 /3 1
Fall 2010 IEOR 160
Industrial Engineering & Operations Research
September 21, 2010 Page 1 of 3
HOMEWORK 3 SOLUTIONS
Chapter 12.4 4. The probability of x hits in n at bats when probability of success on each at bat is p is n! given by f (p) = x!(nx)! px (1
Fall 2010 IEOR 160
Industrial Engineering & Operations Research
September 13, 2010 Page 1 of 2
HOMEWORK 2 SOLUTIONS
Chapter 12.3 2. Since f (x) = 6x, then f (x) > 0 for x > 0, f (x) < 0 for x < 0, f (x) = 0 for x = 0 So f (x) is neither convex nor concave