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    Consumer Theory Mathematical Notation

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    Question
    Consider a consumer with utility function
    (a) Find the demand for any vector of strictly positive prices, p = (p1,p2)>>0 and any level of income, M>0,. Why does the consumer end up spending her entire income (i.e., choose a consumption point on the budget line)?
    (b) Sketch some indifference curves of the utility function u and draw the price consumption curve (PCC), which results when varying the price of the first good. Does the first good have a normal price effect, and how does this show in the PCC?
    (c) Is the following statement true or false: A normal good (a good with positive income effect) cannot be a Giffen good. Explain briefly why you arrive at your conclusion.

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    Question: Consider a consumer with utility function .
    (a) Find the demand for any vector of strictly positive prices, p = (p1, p2)>>0 and any level of income, M > 0. Why does the consumer end up spending her entire income (i.e., choose a consumption point on the budget line)?
    MUx1 =
    MUx2 =
    MRS = MUx1/MUx2 = / = x2/x1
    The utility is maximized where MRS = MUx1/MUx2 = p1/p2,
    Or p1x1 = p2x2
    The budget line is given as: p1x1 + p2x2 = 1
    Plugging in p1x1 = p2x2in the budget line, 2p1x1= 1, which gives ...

    Solution Summary

    The consumer theory mathematical notation are determined.

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