With utility function u(x1, x2) = √x1 + x2, has 100 dollars to spend on goods 1 and 2.(a)  The prices are p1 = 1 and p2 = 4. Find the optimal bundle x∗1 , x∗2.  B)Keep the price of good 1 as p1 = 1 and let p2 be a parameter, p2 = p > 0. Find the optimal bundle as a function of p, x1(p), x2(p) and compute the derivatives x1′ (p), x2′ (p).

Micro Economics For Today
10th Edition
ISBN:9781337613064
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter6: Consumer Choice Theory
Section: Chapter Questions
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 With utility function u(x1, x2) = √x1 + x2, has 100 dollars to spend on goods 1 and 2.
(a)  The prices are p1 = 1 and p2 = 4. Find the optimal bundle x∗1 , x∗2. 

B)Keep the price of good 1 as p1 = 1 and let p2 be a parameter, p2 = p > 0. Find the optimal bundle as a function of p, x1(p), x2(p) and compute the derivatives x1′ (p), x2′ (p).

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