Mathematics

Hints and Answers

Section 1.1

Answers to problems 2, 10, 12 (pdf file)

Section 3.2

13. After one or two steps of the simplex method (depending on how you do it), all the rows end with a positive number, but there is still a column whose bottom entry is negative. So we go back to our original simplex method. Unfortunately, all the entries in that column are negative, so we cannot find a pivot.

Section 5.4

8. (a) 3/10 (b) 9/10 (c) 1/3 (d) 1/2
12. (a) 1/625 (b) 1/125 (c) 1/120 (d) 12/125
14. (a) 1/5 (b) 2/9 (c) 1/9

Section 5.5

4. (b) .784 (c) .64
6. 8/13
12. (a) 1/5 (b) 3/5

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