Question: (Calculus version below.) Natasha's utility function is U ( C , F ) = (3 + F )(square root of) C , where C stands

(Calculus version below.) Natasha's utility function is

U(C, F) = (3 +F)(square root of)C, where C stands for concert

tickets and F stands for film tickets. For this utility

function, MUc= 3 +F / 2(square root of)C, and MUf =(square root of)C. Her income

is $300 per month and concert tickets cost $5 each. What is the formula for Natasha's MRScf? Does it have the declining MRS property? Solve for and graph her price-consumption curve (allowing the price of film tickets, PF , to vary) and her demand curve for film tickets. For what values of PF is her best choice an interior solution? For what prices is it a boundary choice?

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