The cost function c(w 1 , w 2 , y) of a firm gives the cost of producing y units of output when the wage of factor 1 is w 1 and the wage of factor 2...

The cost function c(w1, w2, y) of a firm gives the cost of producing y units of output when the wage of factor 1 is w1 and the wage of factor 2 is w2. Find the cost functions for the following firms:

a. A firm with production function f(x1, x2) = min{2x1, 3x2}

b. A firm with production function f(x1, x2) = 2x1+ 3x2

c. A firm with production function f(x1, x2) = max{2x1, 3x2}