2. Suppose that Robinson Crusoe produces and consumes fish (F) and coconuts (C). Assume that during a certain period he has decided to work 200 hours and is indifferent as to whether he spends this time fishing or gathering coconuts. Robinson's production for fish is given by F = IF And for coconuts C = 10, where 11: and 1c are the number of hours spent fishing or gathering coconuts. Consequently, 16 + 1F =200 Robinson Crusoe's utility for fish and coconuts is given by utility = F .C a. If Robinson cannot trade with the rest of the world, how will he choose to allocate his labor? What will the optimal levels of F and C be? What will his utility be? What will be the RPT (of fish for coconuts)? b. Suppose now that trade opened and Robinson can trade fish and coconuts at a price ratio of PF/Pc = 2/1. If Robinson continues to produce the quantities of F and C in part (a), what will he choose to consume, given the opportunity to trade? What will his new level of utility be? c. How would your answer to part (b) change if Robinson adjust his production to take advantage of the world? d. Graph your results for parts (a), (b), and (c)