經濟數學問題 - 經濟

問題
The cost function of a competitive firm is C(Q)=Q^3/3-Q^2+2Q, Q>＝0
with the profit function R(Q,P)=PQ-Q^3/3+Q^2-2Q.

Question:(a). Find the range of P such that an interial local maximum
Q*(P) exists and find Q*(P).
(b). Determine the range of P such that Q＝0 is also a local
maximum.

這是我們期末考的考古題
這次可能會在出類似題目
請大家幫幫忙~~

問題2
Let U(x,y)=x^a*y+x*y^2, x,y,a>0
Question:For what value(s) of a U(x,y) is homothetic?
這是有關齊序函數的問題，讀了定義還是算不出來
再幫幫忙吧~~
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