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.)

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