y1.請寫出

  a) CD效用函數與兩種財貨之需求函數

     ANS:

            U = X1a1 + X2a2  ,   X1 = (a1·m) / ((a1+a2) P1)

                                       X2 = (a2·m) / ((a1+a2) P2)

  b) 完全替代 u = ax+by 的所有需求函數

     ANS:

             a/px > b/p→ x = m/px , y = 0

             a/px < b/p→ x = 0 , y = m/py

             a/px = b/p→ 0 ≤ x ≤ m/p, y = (m-px x)/py

  c) x與y以3:5比例的完全互補效用函數與所有需求函數

    ANS:

           U = min{x/3 , y/5}  ,  x = 3·m/(3px+5py)

                                          y = 5·m/(3px+5py)

  d) u = x + 2 √y , px = 1 , p= 5 , m =10

      求最適商品組

    ANS:

              MU1/p1= MU2/p2

              1/1 = (1/√y)/5

              √y = 1/5  ,  y = 1/25  ,  py·y = 1/5

              (m-pyy)/px = 10 - 1/5 = 49/5

              x = 49/5 = 9.8

 

             

Available from: Monday, 3 November 2008, 12:10 PM
Due date: Monday, 3 November 2008, 12:10 PM