An individual has a utility function, U(q,,42) = Jq1•92). (Mathematical assistance: x = x2). Derive the individual's demand curve for q, and q2 (a) Hint: solve for the utility maximising values of q, and q, for any set of prices (p, and p,) and income (1). (b) Suppose p, = £10 and p, = £25 and total income is £100. Calculate the optimal consumption choices and the maximised utility value. %3D (c) Compute the value for the Lagrange multiplier for the individual's budget constraint and explain its meaning.

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