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Can you show me how to get the marginal rate of substitution from the utility function? Also provide answers to the questions with steps. Thank

Can you show me how to get the marginal rate of substitution from the utility function?

Also provide answers to the questions with steps.

Thank you

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1. A consumer has a utility function given by U(;r1,a2) = 1/:clx2, where 331 and 332 are the two goods he consumes. (a) State the consumer's maximization problem and nd his demand functions for the two goods. (b) If the price of good 1 is p1 = $1, the price of good 2 is p2 = $4, and his income is m = $8, calculate his optimal consumption bundle and his utility at that bundle. Present the solution graphically. (c) Is the function W(m1,:c2) = $3156; a monotonic transformation of U (2:1, m2)

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