Question:
Carol consumes two goods, x and y, with respective price p_x and p_y. Carol's utility function is given by u(x,y)=Min{2x+y,2y}. Carol's income is 84
On a diagram where the horizontal axis indicate the number of x and the vertical axis indicate the number of y, draw Carols's indifference curves for utility levels 30 and 40, label them as IC_30 and IC_40, respectively. On your graph, label the kink point of IC_30 bundle A and label the kink point of IC_40 as bundle B. What are the coordinates of A and B?
I would also like to be taught how to write the equation of the line that passes through all kink points please.