. In preparation for the academic year ahead, Greg has allocated a budget of $500 (M) to his consumption of two goods: textbooks (x) and coffee (y). His preferences for textbooks and coffee are plotted in the graph below. The price of textbooks is Px=$100.00 and the price of coffee Py = $5.00. Using this information, answer the following questions. Map of Greg's Preferences for Coffee and Textbooks 110 100 90 80 70 U\" 60 50 40 30 20 10 0 Coffee U} 0 1 2 3 4 5 6 Textbooks a. \"That is Greg's Budget Constraint? Be sure to BOTH write out the function AND plot the budget line on the graph above. b. Label Greg's preferred blmdle of textbooks and coffee to consume, Point 1. c. Assume the price of coffee rises to $10.00. Add the new budget constraint to the graph above and label the new consumption bundle, Point 2. d. Label the Income and Substitution Effects for Greg's consumption of coffee on the graph above. Hint, you need to show where point D is located and how to find it, to get full credit. e. Explain the intuition of the Income and Substitution Effects of Greg's change in consumption of Coffee