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 spendsthis time fishing or gathering coconuts. Robinson's production for fish is given byF F ? land for for coconuts byC C ? lwhere F l and C l are the number of hours spent fishing or gathering coconuts. Consequently,200 F C l ?l ?Robinson Crusoe's utility for fish and coconuts is given byutility ? (F x Ca) If Robinson cannot trade with the rest of the world, how will he choose to allocate hislabor? What will the optimal levels of F and C be? What will his utility be? What will be theRPT (of fish for coconuts)?b) Suppose now that trade is opened and Robinson can trade fish and coconuts at a price ratioof 21fcpp? . If Robinson continues to produce the quantities of F and C from part
a),what will he choose to consume once given the opportunity to trade? What will his newlevel of utility be?
b) How would your answer to part
c) change if Robinson adjusts his production to takeadvantage of the world prices?
d) Graph your results for parts (a), (b), and (c).