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Suppose a consumer's utility function is U(F0,F1) = F00.5F10.5,where F0 represents food consumed this year and F1 represents food consumed next year.For that utility function,the marginal utility of food consumed this year is 0.5 × (F1/F0) 0.5 and the marginal utility of food consumed next year is 0.5 × (F0/F1) 0.5.Suppose the consumer earns $100 this year and nothing in the next,food costs $1 per unit in both years,and the interest rate is 10%.How much food does she consume this year,and how much does consume tomorrow?
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