※ 引述《leoleo (believeleo)》之銘言：
: 小蘭消費x.y與z商品的效用可以函數u(x,y,z)=min{x,3y+4z}表示,
: 已知x價格為2,y價格為20,z價格為12,小蘭預算為60.
: 在消費均衡點上,小蘭將購買多少x?
: 答案為12~ 請問這要如何計算阿??
step1. Muy/Muz = 3/4 < Py/Pz (=20/12) spend all money on z
utility can be changed as min{ x, 4z}
step2.
max U(x,z)= min{x,4z}
s.t: 2x+12z=60,
foc. x=4z, 2(4z)+12z=60, 20z = 60, z=3,
x= 4 * 3 = 12
Then we solve this problem, x consumption = 12, z = 3