Preferences and utility functions

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1
transitive definition
if A>B and B>C then A>C
2
perfect substitutes create a _____
straight line, generally the slope is -1
3
perfect compliments creates a ______
a concave right angle, it usually utilizes the minimum function
4
max function creates a _____
a convex right angle
5
what form does quasi linear come in?
u(x,y)=V(x)+y=x , the v(x) could be a square root
6
what form does cobb-douglas come in
u(x,y)=Ax^(a)y^(b)
7
how do you make the cobb douglas utility function linear
convert into a ln(x) + b ln(y)
8
how do you solve original vs new bundle w missing variable?
1.plug in original x values into utility function and solve for u(x1,x2)
2. plug in u(x1,x2) value from ^ and plug in the single value to solve for the missing var
9
how do you find the marginal rate of substitution? u(x1,x2)
1. derive the utility function in terms of x1 and x2 respectively to find MUx1 and MUx2
2. MRS = -(du/x1 (or x) / du/x2 (or y))
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