i need help with the following please

2. (46 pts) Anna's utility function is U(r1, 22) = min{321,2z,}, where z and zo are the two goods she consumes. The price of good c is p1. The price of good z, is p2. Her income is m. (a) Draw some of her indifference curves and find her demand functions for the two goods. Are the two goods ordinary or giffen? Justify your answer. (16 pts) (b) Find her income offer curve and her Engel curves. Present graphically her Engel curve for 21. (10 pts) (c) Suppose that p2 = $2 and m = $40. Write her demand function and inverse demand function for good $1. (8 pts) (d) Suppose that p, = $1 and m = $40. Write her demand function and inverse demand function for good z1. Draw the previous demand function (from part c) and the new demand function for good z, on the same graph (include the intersection point(s)). What do you observe? (12 pts)