Draw a budget line and indicate the consumers choice

Question

Problem: Draw an indifference curve (If) in a (x,y)-space for the following cases:

(a) The IC is convex to the origin.

(b) The IC is concave to the origin.

(c) Goods x and y are perfect complements.

Furthermore, draw a budget line and indicate the consumer's choice as point E in each of these diagrams. E must be a point on the IC.