Consider the Following economy with production: Robinson consumes recreation time and coconuts. He has an endowment of 24 hours of time and 6 coconuts. Robinson can choose to use his time either for recreation or to gather coconuts. He manages to collect 2% coconuts where L denotes the hours of time spent on gathering coconuts. His preferences over recreation R (measured in hours) and coconuts C are represented by the utility function um, C) = 3mm) + glow") (c) From now, suppose there is a market at work on the island. The production of coconuts is organised by Crusoe INC. which uses labor as input at wage to = 1 (numeraire) and produces coconuts as output with the technology above (2\\/E) and supplies coconuts at price pc per coconut. What are the returns to scale of this production function? What is the supply function of Crusoe INC? What is the factor demand function