A consumer of two goods faces positive prices for both goods and has positive income. Her preferences over consumption of good 1 and good 2 are represented by the following utility function:
u( \(x_{1} , x_{2}\) ) = min{ \(2x_{1} + x_{2} ; x_{1} + x_{2}\) }
Draw the indifference curve for U = 20.
For what values of p1/p2 will the optimum be \(x_{1} = 0\)
If neither x1 and x2 is equal to zero and the optimum is unique, what must be the value of x1/x2?