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Amy only cares about how much coffee she drinks. She can buy coffee in 10-ounce cups or in 20-ounce cups. Amy's preferences are represented by

Amy only cares about how much coffee she drinks. She can buy coffee in 10-ounce cups or in 20-ounce cups. Amy's preferences are represented by the following utility function:

u(x,y)=x+2y

where x is the number of 10-ounce cups and y is the number of 20-ounce cups.

  1. is Amy's preference homothetic?Explain your answer for full credits.Be sure to explain what homothetic preference means.

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