All parts please

G . (11 points) Violet's utility function is given as U (z, y) =z? 4+ 2xy. Suppose that the price of good z is p, the price of good y is Which plan would you prefer? Explain. g, and Violet has m dollars in her pocket. I OnmO0 o> . Find Violet's ordinary demand for each good. . Find the inverse demand function for good . . Find the equation for the Engel curve for good . X Is the Engel curve for good x a straight line? Why or why not? . Is good x a normal or inferior good? Why? . s good y a normal or inferior good? Why? . Are good x and y complements, substitutes, or have no relation with each other? Why? Suppose that p = 8, = 5, and m = 140. What is the maximum level of utility that Violet can achieve? How many units of each good will maximize Violet's utility? |. What is the maximum level of utility that Violet can achieve? J. Draw the budget line, the indifference curve with the maximum utility level that Violet can achieve, and mark the point where these two "touch\" each other (i.e., the point of tangency between the budget line and the indifference curve). Label the z and y coordinates for this point. [Hint: To see how the indifference curve might look like, set the equation for the utility function equal to the maximum utility level that you found in part (H). Then use an online math tool to see what the function might look like in a graph. Wolfram Alpha does an excellent job in this, but you can use other tools of your choice. Keep in mind that Wolfram Alpha plots the whole function, with both positive and negative values for z and y. However, in this case, both z and y should be greater or equal to zero (because they are quantity of goods), so only the part of the graph inside the first quadrant is relevant; you can ignore the rest of the graph.] "