A consumer has preferences between the total value of all other goods he consumes, x, and water, w, that are given by the utility function U = x30w. The consumer has $40,000 of income to spend. Assume that price of x is $1 per unit and the price of water is pw. a. Write the consumer's objective function. Px.x + Pwiw b. Write the Lagrangian for producer's decision. Smilt prit 29=3002 = dinit nisge omuzzA titened lenignem erit el 16rWi c. What is his demand for water? (hint: you need three equations)

Micro Economics For Today
10th Edition
ISBN:9781337613064
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter6: Consumer Choice Theory
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2. A consumer has preferences between the total value of all other goods he consumes, x, and
that are given by the utility function U = x30w. The consumer has $40,000 of
income to spend. Assume that price of x is $1 per unit and the price of water is pw.
water, w,
a. Write the consumer's objective function.
Px.x + Pwiw
b. Write the Lagrangian for producer's decision.
Smilt erit of 1976
291 = 3,002 = dierit nisge smużzA
to fitened lonigiem arit el terW i
c. What is his demand for water? (hint: you need three equations)
zijedi votow to insome leitini griT.Aeg 0052
Transcribed Image Text:2. A consumer has preferences between the total value of all other goods he consumes, x, and that are given by the utility function U = x30w. The consumer has $40,000 of income to spend. Assume that price of x is $1 per unit and the price of water is pw. water, w, a. Write the consumer's objective function. Px.x + Pwiw b. Write the Lagrangian for producer's decision. Smilt erit of 1976 291 = 3,002 = dierit nisge smużzA to fitened lonigiem arit el terW i c. What is his demand for water? (hint: you need three equations) zijedi votow to insome leitini griT.Aeg 0052
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