Suppose an individual has income y₀of the numeraire good y. Consider 3 prices of good x: At the highest price, p_x³= y₀/x₀, the individual's optimal consumption of x is x.At an intermediate price p_x²= y₀/x₁where x₁= 2x₀, the optimal consumption of x would be x.And at the lowest price of x, p_x¹= y₀/x₂where x₂= 3x₀, the optimal consumption of x is x.

a) Depict this situation graphically.

b) In a diagram directly below the diagram in part a), derive 3 points on this individual's demand curve, indicating the quantities x, x and x that correspond to the prices p_x³, p_x², and p_x¹respectively.