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Consider a consumer in a perfectly competitive market. The consumer has income I=110 and can purchase good 1 and good 2. Quantities are q1 and

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Consider a consumer in a perfectly competitive market. The consumer has income I=110 and can purchase good 1 and good 2. Quantities are q1 and q2. Suppose prices are p1 =10 and p2=5. The consumer views q1 and q2 as perfect complements. She wants to consume 4 units of q1 with every 3 units of q2. The optimal consumption choice is q1*= v and q2*= v. Consider the following intertemporal consumption problem with one good and two periods. The quantity of the good consumed in period 1 and period 2 are q1 and oz. The price of each unit of the good is $1 in both periods. The consumer's income is |1=10 in the rst period and |2=12 in the second period. The consumer can borrow or save money at the interest rate of 25%, that is, r=0.25. The conSumer's utility function is u(q1.q2) = cm: The conSumer optimally chooses (11 and q2. Part 1) The optimal mix of q1 and q2 is v (your answer should be q2 as a function of q1). Part 2) The consumer will purchase q1 = v (your answer should be a number). Part 3) In the rst period, the consumer will v (select save or borrow) the amount of $ v (select a number). Let qA be the quantity of apples and go the quantity of oranges. A consumer's utility is described by the function u(qA, 90)= 3qA + 590 This consumer currently consumes 2 apples and 4 oranges. For this consumer, the marginal utilities are MUA= and MUO= V. Moreover, the marginal rate of substitution is MRSA, O= V

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