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Tom’s utility function is U(x, y) = 4x + 3y. Tom has $180 to spend. The price of...

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Tom’s utility function is U(x, y) = 4x + 3y. Tom has $180 to spend. The price of x is $4. Tom currently doesn’t consume any y. Tom has received an invitation to join a club devoted to the consumption of y. If he joins the club, Tom can get a discount on the purchase of y. If he belonged to the club, he could buy y for $2 per unit. How much is the most Tom would be willing to pay to join this club? Note that if he is indifferent about whether to join the club or not, he will join the club.

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