A rumrunner can smuggle rum through one of two ports and the coast guard can patrol only one of them. If a port is unpatrolled, he can sell his rum for $5000. If he enters the first port and it's patrolled, he'll be caught, have his rum (worth $1000) taken, and be fined $1000. If he enters the second port and it's patrolled, he'll be able to dump his cargo and escape the fine (a) What is the optimal strategy for the numrunner? (b) What is the optimal strategy for the coastguard? (c) How profitable is rumrunning? That is, what is the value of the game? (a) The optimal strategy for the numrunner is [00) (Type an integer or simplified fraction for each matrix element.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A rumrunner can smuggle rum through one of two ports and the coast guard can patrol only one of them. If a port is
second port and
he'll
caught, have his rum
and be
If the enters
(a) What is the optimal strategy for the numrunner?
(b) What is the optimal strategy for the coast guard?
(c) How profitable is rumnunning? That is, what is the value of the game?
(a) The optimal strategy for the rumrunner i [00)
(Type an integer or simplified fraction for each matrac element)
unpatrolled, he can sell his rum for $5000. If he enters the first port and it's
patrolled, he'll be able to dump his cargo escape the fine
Transcribed Image Text:3 A rumrunner can smuggle rum through one of two ports and the coast guard can patrol only one of them. If a port is second port and he'll caught, have his rum and be If the enters (a) What is the optimal strategy for the numrunner? (b) What is the optimal strategy for the coast guard? (c) How profitable is rumnunning? That is, what is the value of the game? (a) The optimal strategy for the rumrunner i [00) (Type an integer or simplified fraction for each matrac element) unpatrolled, he can sell his rum for $5000. If he enters the first port and it's patrolled, he'll be able to dump his cargo escape the fine
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