Math 117L1 FA 01 - Quantitative Analysis I
Final Exam Study Guide

You may bring to the final examination a single 8 1/2 by 11 sheet of paper written on one side (called, in French, an “aide-memoire”) which you may use for all problems except problem 1.
  1. (No “aide memoire” allowed) One of (a) on a graph, illustrate the concept of slope; (b) On a graph, illustrate the concepts x-intercept and y-intercept, a given vertical or horizontal line; (c) State the three conditions for a linear programming problem to be in standard form.
  2. Solve a pair of linear equations simultaneously – your choice of method.  (Problems like p. 121 #5, 6, 7, 8)
  3. Given several matrices, add or multiply them if possible, and if not possible, say why not. (Problems like p. 223 #

    4.           17-26, p 237 # 5, 6, 7, 11, 12, 17, 20 and RUReady Problems under the heading "Matrix Operations")
  4. Given linear cost and revenue functions, find the profit function, the profit on a given number of items, and how many must be sold to ensure no money is lost (the break-even point).  (Problems like p. 132 # 7, 8 and RUReady problems under Business Applications (section 1.6))
  5. Given a linear programming problem (as a word problem), (a) set up the inequalities and objective function, (b) solve it graphically (graphing the inequalities, finding the feasible region, plugging the corners of the feasible region into the objective function), (c) set up the simplex tableau, and (d) find the first pivot.  ((a) is like p. 325 #37-40, p. 344 # 47-57.  (b) is like p. 325 # 21-36.  (c) is like p. 342 # 3-8.  (d) is like p. 342 # 9-12.  Also, see RUReady Problems under the heading "Corner Points" for (b).)
  6. Given quadratic cost and revenue functions, find break-even points, find the number of items which will give maximum profit, and explain how you know it’s a maximum, not a minimum. (Problems like p. 174 # 17-26)
  7. Given an exponential function, find the value of this function at a certain time, and find when it will reach a certain value. (Problems like p. 415 # 1-6 and RUReady problems under Growth/Decay)
  8. Find the future value of an investment at a certain interest rate using compound interest.  (Problems like p. 452 # 7-14, and the last six in the RUReady problems Simple/Compound Interest)