b) Write the following Linear functions in matrix form (i) f(I,, 12, T;) = 2x, - 312 +51, 12 (ii) f(x, ,I,) = (20, - 302, 1, - 412, I,) 12 c) Write the following Quadratic functions as a matrix product involving symmetric coefficient matrix (i) Q(1,,12) = 1 -21,12 +12 (2] (ii) Q(1,, I,, I,) = x, + 212 + 3x2 + 4x,I, - 61,1, + 81,1, 13 Total 25 Marks Question 3 a) Optimize the following cobb-Douglas production functions Q = 10.6 0.25 subject to the given constraints 8K + 5/ = 600 by forming the Lagrange function and finding the critical values. What is the returns to scale of that function and why? [10]