Question

Peter's daily income (gif.latex?Y) is $120, to be spent in either or both food (gif.latex?F) and fun (gif.latex?U) on the day. The market prices are, respectively, (PF) $2/unit of food and (PU) $6/unit of fun. Considering Peter's preferences: What is the marginal rate of substitution of food for fun (MRSFUAU/AF| at a certain level of utility) that would maximize the utility Peter obtains from acquiring and consuming food and fun?  (Type the number in a decimal form. Approximate your answer if necessary, with two significant digits after the decimal point. Do not write the units.)

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Answer #1

The marginal rate of substitution of food for fun that would maximize the utility peter Obtains from acquiring and consuming food and fun is given by the price ratio of food for fun because at the point of utility maximization, the slope of the budget is equal to slope of the indifference curve because budget line is tangent to the indifference curve.

Thus, MRS at the point of utility maximization = - 2 / 6 = -0.33.

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