Operations Research : Applications and Algorithms
4th Edition
ISBN: 9780534380588
Author: Wayne L. Winston
Publisher: Brooks Cole
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Your English professor has announced the following grading policy: For each essay, the highest score in the class will be entered as a 100%; all other scores will be entered as the percent of that top score. For example, if the highest essay is a 50 out of 100, it will be counted as a perfect paper, and essays with a score of 40 out of 100 will be entered as an 80%. The final grade for the course will be determined using these adjusted percentages, with 90% and above an A, 80% and above a B, 70% and above a C and below 70% not passing.
The students all get together and decide not to work hard on the next paper because if nobody does well, they will all do okay. This plan
results in a Nash Equilibrium.
A.) is a solid commitment device, and thus stable.
B.) will be unstable because there is an incentive to break the agreement.
C.) will be stable because there are no incentives to deviate.
D.) requires everyone to follow their…
Jack and Jill will play a game called Hotter, Colder. Jill chooses a number from 0 to 100, and Jack makes repeated attempts to guess it. For each guess, Jill will respond with:
hotter - if the current guess is closer to her number than the previous guess is
colder - if the current guess is farther to her number than the previous guess is
same - if the current guess is as far (to her number) as the previous guess is
For Jack’s first guess, since there is no previous guess yet, Jill will just answer same.
Describe an algorithm or a systematic approach that Jack can follow to win the games faster (fewer guesses).
Example: Jill chooses number 40. Note: Jack can guess any number from 0 to 100 at any point of the game.
Jack guesses 100. Jill responds same (first guess)
Jack guesses 60. Jill responds hotter (60 is closer to 40 than previous guess 100)
Jack guesses 80. Jill responds colder (80 is farther from 40 than previous guess 60)
Jack guesses…
EXERCISE - You go to a market to pick out some gourds to decorate your house for Halloween. The market has a special October deal where you get 3 randomly chosen gourdss for $10. Each gourd can either be an orange pumpkin, a green pumpkin or a squash. The probabilities for picking each one of them are: P(orange pumpkin) = 0.6, P(green pumpkin) = 0.3, and P(squash) = 0.1.
A: What is the probability that the first gourd is an orange pumpkin, the second is a green pumpkin, and the third is a squash?
B: What is the probability that you get all 3 as orange pumpkins?
C: What is the probability that you get no squashes?
D: What is the probability that you get at least one orange pumpkin?
(ANSWERE USING PYTHON)
Chapter 13 Solutions
Operations Research : Applications and Algorithms
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