Exercise 5.c.10 from microeconomics theory by Andreu Mas-Colell: derive the cost function c(w,q) and conditional factor demand functions z(w,q) for each of the following single-output constant return technologies with production functions given by: (a) perfect substitutes inputs: f(z)= z_1+z_2 and (b) Leontief technology: f(z)=Min(z_1, z_2)

5.C.10^ Derive the cost function c(w, q) and conditional factor demand functions (or corre- spondences) z(w, q) for each of the following single-output constant return technologies with production functions given by (a) S(2) = 2, + 22 (perfect substitutable inputs) (b) f(=) = Min (21. 22) (Leontief technology)