Mary consumes two goods, Diet Coke {X} and L'heeseburgers [Y]. Mary's Utili function is represented by SEW. Her marginal utilityr function for x is 357. He marginal utility.r function for 'i' is 631'. The current price of Diet Coke is $4. The current price for cheeseburgers is $5. Mary's income is $12!]. a. Write an expression for Mary's budget line and graph it with Diet Co]: the horizontal axis. Please label al] intercepts. slopes, axes, etc. b. What is the marginal rate of substitution ifJi=ID and Y=16? Does this number look familiar? if so. why? c. Calculate a new budget line if the price of diet coke increases to $6. Pl graph this and label all intercepts, slopes. etc. :1. If the price of diet coke is $6. what is the marginal rate of substitution X=2f3 and Y: 16. Does this number look familiar? if so. why?I