Finite Mathematics & Its Applications, Books A La Carte Edition (12th Edition)
Finite Mathematics & Its Applications, Books A La Carte Edition (12th Edition)
12th Edition
ISBN: 9780134464039
Author: Goldstein, Larry J.; Schneider, David I.; Siegel, Martha J.; Hair, Steven
Publisher: PEARSON
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Chapter 9.3, Problem 21E

(a)

To determine

The payoff matrix with entries in thousands dollars for the game corresponding to a smuggler’s strategy if a rumrunner smuggle rum into a country having two ports where the coast guard patrols one port each day. If the rumrunner enters through unpatrolled port, he sells his rum at a profit of $7000. If he enters first port and is patrolled, he will get caught, he will have his rum worth $1000 confiscated and will be fined $1000. If he enters the second port and is patrolled, he will have time to jettison his cargo and hence will escape a fine easily. Also, denote the two ports by I and II.

(b)

To determine

To calculate: The optimal strategy for the rumrunner for the game corresponding to a smuggler’s strategy if a rumrunner smuggle rum into a country having two ports where the coast guard patrols one port each day. If the rumrunner enters through unpatrolled port, he sells his rum at a profit of $7000. If he enters first port and is patrolled, he will get caught, he will have his rum worth $1000 confiscated and will be fined $1000. If he enters the second port and is patrolled, he will have time to jettison his cargo and hence will escape a fine easily.

(c)

To determine

To calculate: The optimal strategy for the coast guard for the game corresponding to a smuggler’s strategy if a rumrunner smuggle rum into a country having two ports where the coast guard patrols one port each day. If the rumrunner enters through unpatrolled port, he sells his rum at a profit of $7000. If he enters first port and is patrolled, he will get caught, he will have his rum worth $1000 confiscated and will be fined $1000. If he enters the second port and is patrolled, he will have time to jettison his cargo and hence will escape a fine easily.

(d)

To determine

To calculate: The value of the game corresponding to a smuggler’s strategy if a rumrunner smuggle rum into a country having two ports where the coast guard patrols one port each day. If the rumrunner enters through unpatrolled port, he sells his rum at a profit of $7000. If he enters first port and is patrolled, he will get caught, he will have his rum worth $1000 confiscated and will be fined $1000. If he enters the second port and is patrolled, he will have time to jettison his cargo and hence will escape a fine easily.

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Chapter 9 Solutions

Finite Mathematics & Its Applications, Books A La Carte Edition (12th Edition)

Ch. 9.1 - In Exercises 1–12, determine the optimal pure...Ch. 9.1 - In Exercises 112, determine the optimal pure...Ch. 9.1 - In Exercises 1–12, determine the optimal pure...Ch. 9.1 - In Exercises 1–12, determine the optimal pure...Ch. 9.1 - Prob. 12ECh. 9.1 - Prob. 13ECh. 9.1 - Prob. 14ECh. 9.1 - Prob. 15ECh. 9.1 - Prob. 16ECh. 9.1 - Prob. 17ECh. 9.1 - Prob. 18ECh. 9.1 - Prob. 19ECh. 9.1 - For each of the games that follow, give the payoff...Ch. 9.1 - Prob. 21ECh. 9.1 - Prob. 22ECh. 9.1 - Prob. 23ECh. 9.2 - Solutions can be found following the section...Ch. 9.2 - Prob. 2CYUCh. 9.2 - Prob. 1ECh. 9.2 - Suppose that a game has payoff matrix [102120011]...Ch. 9.2 - Prob. 3ECh. 9.2 - Prob. 4ECh. 9.2 - Prob. 5ECh. 9.2 - Flood Insurance A small business owner must decide...Ch. 9.2 - 7. Two players, Robert and Carol, play a game with...Ch. 9.2 - Rework Exercise 7 with [.7.3] as Roberts strategy.Ch. 9.2 - Two players, Robert and Carol, play a game with...Ch. 9.2 - 10. Rework Exercise 9 with as Robert’s...Ch. 9.2 - 11. Assume that two players, Renée and Carlos,...Ch. 9.2 - Prob. 12ECh. 9.2 - Prob. 13ECh. 9.2 - Prob. 14ECh. 9.2 - Prob. 15ECh. 9.2 - 16. Three-Finger Morra Reven and Coddy play a game...Ch. 9.3 - Prob. 1CYUCh. 9.3 - Prob. 2CYUCh. 9.3 - Prob. 1ECh. 9.3 - Prob. 2ECh. 9.3 - Prob. 3ECh. 9.3 - Prob. 4ECh. 9.3 - Prob. 5ECh. 9.3 - Prob. 6ECh. 9.3 - Prob. 7ECh. 9.3 - In Exercises 5–12, determine the value of the game...Ch. 9.3 - In Exercises 512, determine the value of the game...Ch. 9.3 - Prob. 10ECh. 9.3 - Prob. 11ECh. 9.3 - Prob. 12ECh. 9.3 - In Exercises 13–16, determine the value of the...Ch. 9.3 - Prob. 14ECh. 9.3 - Prob. 15ECh. 9.3 - Prob. 16ECh. 9.3 - Prob. 17ECh. 9.3 - Prob. 18ECh. 9.3 - Prob. 19ECh. 9.3 - Prob. 20ECh. 9.3 - Prob. 21ECh. 9.3 - Prob. 22ECh. 9.3 - Football Suppose that, when the offense calls a...Ch. 9.3 - Prob. 24ECh. 9.3 - Prob. 25ECh. 9.3 - Three-Finger Mor ra Reven and Coddy play a game in...Ch. 9.3 - Advertising Strategies The Carter Company can...Ch. 9 - 1. What do the individual entries of a payoff...Ch. 9 - Prob. 2FCCECh. 9 - Prob. 3FCCECh. 9 - Prob. 4FCCECh. 9 - Prob. 5FCCECh. 9 - Prob. 6FCCECh. 9 - Prob. 7FCCECh. 9 - What is meant by the optimal mixed strategies of R...Ch. 9 - In Exercises 14, state whether or not the games...Ch. 9 - Prob. 2RECh. 9 - Prob. 3RECh. 9 - Prob. 4RECh. 9 - Prob. 5RECh. 9 - Prob. 6RECh. 9 - Prob. 7RECh. 9 - Prob. 8RECh. 9 - Prob. 9RECh. 9 - Prob. 10RECh. 9 - Prob. 11RECh. 9 - Prob. 12RECh. 9 - Prob. 13RECh. 9 - Prob. 14RECh. 9 - Prob. 15RECh. 9 - Prob. 16RECh. 9 - Prob. 17RECh. 9 - Prob. 18RECh. 9 - Prob. 1PCh. 9 - Prob. 2PCh. 9 - Prob. 3PCh. 9 - Prob. 4PCh. 9 - Prob. 5PCh. 9 - Prob. 6P
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