ECON 1530 Study Guide - Final Guide: Maxima And Minima

Question 3. (25 marks) Let y = f(1) be defined by f(x) = ln(22 – 4). (a) Solve for r when f(0) = 0. (b) Use a sign diagram to determine the values of r for which fr) is defined. (c) Derive f'(.). (d) Use f'(x) to determine when f(x) is increasing and/or decreasing. (e) Derive and use f" () to show if f(x) convex or concave.

13. If the price of X is set at $24.00 per unit, the number of units of X purchased by this consumer each month will be: A) 1 B) 2 C) 3 D) 4 E) 5 F) 6 G) 7 H)8 1) 9 J) 10 K) 12 L) 14 M) 16 N) 18 0) 20 P) 22 Q) 24 R) 26 S) 28 T) 30 U) 36 V) 40 W) 44 X) 52 Y) 56 Z) none of the above

19. At the point on the demand curve where Q = 10 and P=70, the elasticity of demand, expressed as a positive number, is: A) O B) 1 C) 1/5 D) 5 E) 1/7 F) 7 G) 5/7 H) 715 1) 35 J) 1/35 K) 10/7 L) 7/10 M) 40 N) 1/40 0) 12/7 P) 7/12 Q) 12/5 R) 5/12 S) 2/5 T) 5/2 U) 2 V) 1/2 W) 2/25 X) 25/2 Y) none of the above