(Answered) Sarah has a monthly income of 500 dollars that she spends

Economics

Sarah has a monthly income of 500 dollars that she spends buying food that costs 5 dollars, clothes that cost 20 dollars, and books that cost 50 dollars.

Sarah's utility function is given by: U(F, C, B) = 6ln(F) + 2ln(C) + ln(B)

a. Write down Sarah's budget constraint.

b. Compute the marginal rate of substitution of books for clothing ( UB/UC ) and books for food ( UB/UF ).

c. Find her optimal allocation.

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