1. EMGT 501 Fall 2004 Midterm Exam AN ANSWER EXAMPLE

2. 1.a) The variables are as follows. x 1 =bread x 2 =peanut butter x 3 =strawberry jelly x 4 =graham cracker x 5 =milk x 6 =juice

3. Maximize Subject to

4. b) The simplex solution with WinQSB gives, (x 1 *, x 2 *, x 3 *, x 4 *, x 5 *, x 6 * ) = (2, 0.5748, 0.2874, 1.0395, 0.5158, 0.4842) Z=47.3106

5. 2. a) The simplex solution with WinQSB gives, (x 1 *, x 2 *, x 3 *, x 4 * )= ( 0, 2, 0, 2) Z=14

6. b)

7. 3. a) A  E  I =17 months A  C  F  I =17 months B  D  G  J =17 months B  H  J =18 months*  Mean Critical Path b)

8. c) The other paths, A  E  I

9. c) A  C  F  I

10. c) B  D  G  J

11. d) Since these paths do not overlap, a better estimate of the probability that the project will be finished within 22 days can be obtained by multiplying the probabilities of each path calculated before. This result shows that the approximate probability of this drug to be ready within 22 days is 44%.

12. 4. a) Maximize X 4 Subject to

13. b) The simplex solution with WinQSB gives, (x 1 *, x 2 *, x 3 *, x 4 * )= (0.3109, 0.4538, 0.2353, 1.3529) Z=x 4 =1.3529