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The sandwich shop ‘Heaton Sandwich’ is considering opening a new shop in town. It is considering three different options for the new shop

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The shop owner has estimated how many customers will visit the shop during a typical lunchtime period. He has a high, medium and low estimate for number of customers. He has calculated how much profit (in £ x 1000) the shop will make in each situation (shown below in Table 1)

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Table 1: payoff table, profit in pounds (£ x 1000)

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Number of Customers

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High

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Medium

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Low

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Sandwiches

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20

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15

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10

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Sandwiches and burgers

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30

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20

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11

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Hot Lunches

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42

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30

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-6

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Write down the best decision using each of the maximax rule

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Write down the best decision using each of the the maximin rule

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Write down the best decision using the minimax regret rule

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The probabilities associated with the number of customers are as follows; 0.3 for High, 0.2 for Medium and 0.5 for Low.

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 Calculate the best decision using the EMV (expected monetary value)

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