1. Julian has $15 to spend this week on orange juice and muffins. Juice costs $0.50 per bottle and muffins cost $2.00 each. a) Express Julian's budget constraint algebraically. b) Graph Julian's budget constraint. c) Graph the budget constraint when the price of juice increases to $1.00 per bottle. d) Graph the budget constraint when Julian's allocation of money to juice and muffins falls to $10 this week (at the original prices). e) Suppose that additionally, Julian faces the constraint that he cannot consume more than 20 bottles of juice per week. Graph his feasible set (at the original income and prices from here forward - unless otherwise specified). f) Suppose instead that Julian gets five free bottles of juice each week, regardless of how many muffins he purchases. Graph his feasible set. g) Suppose Julian gets a muffin free for each muffin purchased. Graph his feasible set