1.。As mall company produces two goods,swords and plowshares. The company has 100 type alpha
employees and 100type beta employees. If an alpha devotes all his time to producing swords, he
can make 3 swords per week. If he devotes all his time to producing plowshares, he can make 6
plowshares per week. A beta can produce either 1 plowshare per week or 1 sword per week. The
company wants to produce 324 swords and as many plowshares as it can.How many type betas
should it employ at making swords?
2.。Robinson Crusoe's preferences over coconut consumption,C,and leisure,R, are represented by
the utility function U(C;R)= CR. There are 48 hours available for Robinson to allocate between
labor and leisure. If he works L hours, he will produce the square root of L of coconuts.How
many hours will he work?