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Herbert J. Bernstein Professor of Mathematics and Computer Science
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90092 MTH 1002 A -- Fundamentals of Mathematics -- Fall 2012
Online Course
Quiz 10

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This is the one of two weekly quizzes for 4 December 2012 for the MTH 1002 course. Please do this quiz after you have completed the rest of assignment 10. If you do not want delayed grading past the end of the semester, you will also have to do the next quiz as well at the same time. It should take between one half hour and 2 1/2 hours to complete if you are well prepared, longer if not.

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  1. Carefully and in detail, using just words, no drawings, explain how to solve linear programming problems in two dimensions using a geometric approach.

  2. Solve the following linear programming problem, giving the precise location of each of the corners of the feasible region and then the corner (or corners) at which the payoff function is maximized.

    R1: x ≥ 1
    R2: y ≥ 1
    R3: 5*x + 6*y ≤ 33
    R4: 6*x + 5*y ≤ 33
    Payoff: P = 3*x + 2*y

  3. Solve the following linear programming problem, giving the precise location of each of the corners of the feasible region and then the corner (or corners) at which the payoff function is maximized.

    R1: -10*x + y ≥ 0
    R2: -x + 10*y ≥ 0
    R3: x + 3*y ≤ 12
    R4: 3*x + y ≤ 12
    Payoff: P = 3*x + 2*y

  4. Carefully and in detail, explain what you learned in Prof. G. Srinivasan's first lecture.

  5. Carefully and in detail, explain what you learned in Prof. G. Srinivasan's second lecture.

  6. Carefully and in detail, explain what you learned in Prof. G. Srinivasan's third lecture.

  <==== Do this AFTER you've answered all the questions

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Updated 24 November 2012.