If x 1 and x 2 are the number of items of two goods bought, a customers

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If x1 and x2 are the number of items of two goods bought, a customer’s utility is

U(x1, x2) = 2x1x2 + 3x1.

The unit cost is $1 for the first good and $3 for the second. Use Lagrange multipliers to find the maximum value of U if the consumer’s disposable income is $100. Estimate the increase in optimal utility if the consumer’s disposable income increases by $6.

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Applied Calculus

ISBN: 9781119275565

6th Edition

Authors: Deborah Hughes Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, William G. McCallum, Brad G. Osgood, Andrew Pasquale

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