I need help with question 2 I've already answered question 1.

A. [This problem is based on Homework 1, Problem C and Homework 5, Problems A, G, H, and I.] A company has three production facilities that use input to produce output according to the pro- duction functions q = f1(21) = 6Vx1, q = f2(22) = 8V/x2, and q = f3( d & 4 - 2 = 0 = > * = jazz 16 = 21 27 2 2 - 16 21 9 11 11 daz = VII a3 - 2 = 0 = > h = 17123 d x da = 0 = 7 121 9 11 21 3 = a =7 23 = 9 al taztaz = X = > m, + 16241 + 121 _ X =7 36 241 = X 9 9 -7 2 1 = X 4 =7 02 = 41 = 7 23 = 1X 9 f (21 ) = 6 5x /4 = 3VX f2 (212 ) = 8 5 4x19 = 36 16 JX 3 f3 ( 213 ) = 2 / 11 ( 11X /36 ) 2 2 2 JX = II J X F (X ) = 35X+ 16 JX + 11 JX 6 3 3 3 = 125X2. Check directly that the marginal product of input is equal to the Lagrange multiplier