求问一道微观经济学题目~
Consider the production possibilities set
Y = {(y1; y2) : y2 小于等于(y1)的z次方 , z 属于 Z+},
where Z+ denotes the set of non-negative integers.
(a) For which values of z is Y valid in the sense of being technically reasonable?
Explain in terms of the possible graphs of Y .
(b) Show whether or not each valid Y is closed, convex, and satises free disposal.
(c) Characterize the set of efcient points of each valid Y .
(d) What returns to scale property does each valid Y exhibit, if any?
第一问的technically reasonable是不是指符合日常生产生活?那这样的话,Z=0,y1恒等于1,无论怎么投入y2都不增加,就不符合technically reasonable了吧?
还有第二问,应该怎么做?
第三问,当小于等于号变成等号的时候,就变成efficient points了吧?就是在线上?
第四问,当Z=1,规模报酬不变,Z大于1,规模报酬递增
请大家看看我的思路对不对,并且解决第二问,谢谢了