Derive the cost function c(w,q) and conditional factor demand functions z(w,q) for each of the following single-output contact returns to technologies with production functions given by f(z)= z1 + z2 and f(z)= Min(z1+ z2)

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 (=1. =2) (Leontief technology)