1,(1)Q=5L^1/3*K^2/3,所以MPK=10/3(L/K)^1/3,MPL=5/3(K/L)^2/3,则MRTSLK=MPL/MPK=K/2L=W/r(w为劳动价格,r为资本价格=pl/lk),则k=2w/r*L或K=2PL*L/PK
同理(2)K=(W/R)^1/2*L,(3)K=W/2r*L(3)K=3L
2,将PL=W=1,PK=R=1带入(1),Q,得(1)L=200*4^-1/3
K=400*4^-1/3
(2)L=K=2000(3)L=10*2^1/3,K=5*2^1/3(4)L=1000/3,K=1000