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Herbie's Utility Function Is , Where X Is the Number

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Herbie's utility function is Herbie's utility function is   , where x is the number of x's he consumes per week and y is the number of y's he consumes per week. Herbie has $200 a week to spend. The price of x is $1. The price of y is currently $4 per unit. Herbie has received an invitation to join a club devoted to the consumption of y. If he joins the club, Herbie can get a discount on the purchase of y. If he belonged to the club, he could buy y for $1 a unit. How much is the most Herbie would be willing to pay to join this club? A)  $33 B)  $21 C)  $4.50 D)  $16.50 E)  None of the above. , where x is the number of x's he consumes per week and y is the number of y's he consumes per week. Herbie has $200 a week to spend. The price of x is $1. The price of y is currently $4 per unit. Herbie has received an invitation to join a club devoted to the consumption of y. If he joins the club, Herbie can get a discount on the purchase of y. If he belonged to the club, he could buy y for $1 a unit. How much is the most Herbie would be willing to pay to join this club?

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