This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: 1 = 5 and x ∗ 2 = 10 . See f gure 2. 1 4. Find the value of x 1 and x 2 that maximizes the following function: f ( x 1 , x 2 ) = x 1 x 2 − x 2 1 − x 2 2 . FOC df ( x 1 ,x 2 ) dx 1 = x 2 − 2 x 1 = 0 df ( x 1 ,x 2 ) dx 2 = x 1 − 2 x 2 = 0 Solving the system of equations we have that x ∗ 1 = 0 and x ∗ 2 = 0 . See f gure 3. 2 EC 111: Some Graphs for Homework 0 January 25, 2008 Figure 1: f ( x ) = xx 2 1 Figure 2: f ( x,y ) = 10 xx 2 + 20 yy 2 2 Figure 3: f ( x,y ) = xyx 2y 2 3...
View
Full Document
 Spring '08
 DALBO
 Economics, Microeconomics, Calculus, Derivative, Following, Natural logarithm, following function, Pedro Dal Bó

Click to edit the document details