1. An individual has a utility function, U(q,42) = V91 42). (Mathematical assistance: x = x2). (a) Derive the individual's demand curve for q, and q, Hint: solve for the utility maximising values of q, and q2 for any set of prices (p, and p2) and income (!). (b) Suppose p, = £10 and p2 = £25 and total income is £100. Calculate the optimal consumption choices and the maximised utility value. (c) Compute the value for the Lagrange multiplier for the individual's budget constraint and explain its meaning.
1. An individual has a utility function, U(q,42) = V91 42). (Mathematical assistance: x = x2). (a) Derive the individual's demand curve for q, and q, Hint: solve for the utility maximising values of q, and q2 for any set of prices (p, and p2) and income (!). (b) Suppose p, = £10 and p2 = £25 and total income is £100. Calculate the optimal consumption choices and the maximised utility value. (c) Compute the value for the Lagrange multiplier for the individual's budget constraint and explain its meaning.
Chapter10: Consumer Choice Theory
Section: Chapter Questions
Problem 6P
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