You own a fleet of offshore fishing boats and you need to determine how many fishing poles you need to buy to maximize profits. Please answer the following questions given the information below. Please be sure to SHOW all work! A brand new fishing pole costs 400 fishing hours (this is your output) and the rate of depreciation is 10% (0.10). The real interest rate is 2% (.02). And the expected marginal product of capital is given by MPK^f = 300 5K. The firm also faces an effective tax rate on capital, what we call tao () = 20% (.20) a) What is the (tax adjusted) user cost of capital and what is this user cost expressed in? (Show work) (5 points) b) How many fishing poles should you buy to maximize profits? Show work (5 points) Draw a uc/K graph depicting the state of affairs and label this initial profit maximizing condition as point A. A correctly drawn and completely labeled diagram is worth 10 points c) Now conditions change as the value of the US dollar appreciates and since you purchase your fishing poles from abroad, the real price of brand new fishing poles falls to 300 hours of fishing Resolve for K* and show as point B on your uc/K diagram (5 points). d) Explain the intuition underlying the change in the profit maximizing level of fishing poles (i.e., why does the firm change its behavior?), making sure you refer to the firms profit maximizing condition (write it out!). Be specific and write this like you were a professional economist! (use some jargon!) (5 points). Now suppose we experience two more changes simultaneously (in addition to the change in the real price fishing poles above). In particular, you change your expectations on the marginal productivity of capital, since you feel that the economy is finally recovering from a long drawn out recession (positive animal spirits) and as a result, your new expected marginal product of capital function is: MPK^f = 400 5K. The Fed feels the same and raises the real rate up to 0.10 (10%) to keep the economy from 'overheating.' e) Resolve for the profit maximizing level of fishing poles given these two (simultaneous) additional changes and add this point to your diagram as point C.(show work) (5 points) f) Finally, draw a desired investment diagram (completely labeled with the relevant shift variables noted next to the function in parentheses) depicting the initial equilibrium as point A (simply draw a negatively sloped I^D curve going through point A). Label the initial level of desired investment as I^d_A. Note importantly that we do not have numbers for desired investment, but thats ok, we are focusing on the change in desired investment. Then show, as point B, the new level of desired investment as I^d_B. Finally, show how the contractionary Fed policy along with the change in the MPK^f maps to your investment diagram and label as point C with the corresponding level of investment labeled as I^d_C. A completely labeled and correct diagram is worth 10 points (make sure you include the relevant shift variables in parentheses or points will be taken off).