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Xavier, Yolanda, and Zachary are considering whether to pool their funds to buy into a lottery. There is a 20% chance that they will win big and make $8 million dollars, a 40% chance that they will win second prize and make $2 million, and a 40% chance that they will lose and win nothing. The entrance fee to participate in this lottery is $3 million. The partners decide whether or not to play by majority vote. Assume that Xavier has utility function u(x) = x². The other two partners have utility function u(x) = x, where x is the total amount of money won in the lottery. Will the partners buy in?
Free For All
A situation or event in which everyone is allowed to participate without any restrictions or rules.
Days
A unit of time that typically refers to a 24-hour period, but in finance, it can relate to payable or receivable periods.
Inventory Turnover
A ratio showing how many times a company's inventory is sold and replaced over a period, indicating the efficiency of inventory management.
Days In Inventory
A financial measure indicating the average number of days a company holds inventory before selling it, reflecting inventory management efficiency.
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