Please show the graph and workings. Thank you

3. Mary consumes two goods, Diet Coke (X) and Cheeseburgers (Y). The current price of Diet Coke is $4. The current price for cheeseburgers is $5. Mary's income is $120. Mary's Utility function is represented by I U ( X, Y ) = 3XY3 (a) Write an expression for Mary's budget line and graph it with Diet Coke on the horizontal axis. Please label all intercepts, slopes, axes, etc. (b) What is the marginal rate of substitution if X=10 and Y=16? (c) Calculate a new budget line if the price of diet coke increases to $6. Please graph this and label all intercepts, slopes, etc. (d) If the price of diet coke is $6, what is the marginal rate of substitution if X-20/3 and Y= 16