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Set up a decision tree to find the bid that gives Genesis the highest chances of winning.

Genesis Medical Imaging is deciding whether to bid on a new contract to supply a local area hospital with a new MRI machine. Such bids are confidential and the lowest bid entered wins the contract. Genesis estimates it costs $1,000 to prepare for the bid and $900,000 for the MRI machine if it wins the contract. The following table shows the probabilities of Genesis winning the bid given the bids it submits.

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Probability of Winning

Value of Bid

40%

$1,000,000

30%

$1,250,000

20%

$1,750,000

10%

$2,000,000

Set up a decision tree to find the bid that gives Genesis the highest chances of winning.

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