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A football team enters a tournament in which they play one game with each of three teams, but they get to choose the order in which they play their opponent teams. The team knows the probability of "win" against each of the three teams:
PA: is the probability to win when playing with team A
PB: is the probability to win when playing with team B
PC: is the probability to win when playing with team C
where pC<pB<pA
The team wins the tournament if they win 2 games in a row. The team wants to maximise the probability of winning. Show that the "win" probability is maximised if they play the weakest team second, and that the order of playing the other two teams doesn’t matter.
How would you define the maximum capacity for the front desk of a hotel? What is meant by the effective capacity? Define the difference in these two terms relative to the number of customers that can be checked into the hotel in a given period.
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Embassy Club Condominium, located on the west coast of Florida, is undertaking a summer renovation of its main building. The prject is scheduled to begin May 1, and a September 1 (17- week) completion date is desired.
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Dunstreet's Department Store would like to develop an inventory ordering policy of a 98 percent probability of not stocking out. To illustrate your recommended procedure, use as an example the ordering policy for white percale sheets.
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