Suppose a consumer spends his budget of M = 4000 on purchasing two goods X and Y. Price of good X is Px = 400, and price of good Y is py = 100. This consumer's optimal bundle is given by units of X and 20 units of Y. The standard assumptions made about consumer preferences hold for this consumer, so that the indifference curves are convex. Using this information answer the following questions. Show your working. (i) What is the equation of this consumer's budget line? What is the slope of the budget line? (ii) Draw a graph with X on the horizontal axis and Y on the vertical axis (no need to use graph paper for this). Draw the consumer's budget line, clearly labeling on the graph the values of its end points. Draw an indifference curve and identify the optimal bundle on the graph. Label this optimal bundle A. (iii) Suppose the consumer faces a ration that prevents him from consuming more than 10 units of Y. In the graph you drew in part (ii). clearly illustrute the ration und label his new consumption 1