Dave consumes lemons and bottles of water, which are denoted by l and w, respectively. He likes to squeeze the lemon juice into his water to spice things up a little! His utility from consuming these two goods is given by the function U=(lw) The price of a lemon is pl=1 and the price of a bottle of water is pw=4. Dave's income is m=40. For the questions below, treat lemons as the good that goes on the horizontal axis of an indifference curve diagram. Part A. Solve for his optimal bundle of lemons and bottles of water, (l,w). Show your solution graphically by placing lemons on the horizontal axis and water on the vertical axis. Label Dave's optimal bundle as bundle "A" and be sure to label all intercepts of the budget line. Part B. Dave's friend, Brian, runs a very successful online sales company and bottled water is Brian's top seller! Brian offers to sell water to Dave at a lower price of pw=2. Solve for Dave's new optimal bundle at these prices. Label it as bundle "C" and label all intercepts associated with the new budget line. Part C. Now solve for the bundle Dave would choose if he had an income level that would allow him to just afford his original bundle at the new prices of pl=1 and pw=2. Label this bundle as bundle "B" in your diagram and draw the budget line associated with this choice. Label all intercepts of this budget line. Part D. What is the change in Dave's demand for bottles of water that is driven by the income effect? Is water a normal or inferior good?