Question

Given the following Cobb Douglas utility function U(X1,X2)=Xc1,Xd2 determining marginal utilities for good X1 and X2 respectively what is the marginal rate of substitution MRSx 1 x 2 and the marginal rate of substitution MRs x 2 x 1
C(y)=10y2+100 what is the supply curve

Answer 1

$U(x_1,x_2)=x^cx^d$

$MRS_x1,_x2=\frac {MU_x1}{MU_x2}$

$MU_x=cx_1^(c-1)x_2^d$

$MU_X2=dx_1^cx_2^(d-1)$