1. {24 Points) Consider a rm 1with production technology y = kiwi, where y is output, I: is capital and i is labor. The input and output prices are given by: rental price of capital 5" = 3, wage to = 2, and output price p = 12. (a) (10 Points] Find (if), the 'conditional factor demand' for k and I. (h) (4 Points] Find an expression for the (total) cost function c{y}. Find an expression for the marginal cost. (c) (6 Points} Find the rm's prot maximizing output y' and the rm's prot 1:". (d) (4 Points} 'Which input bundle dow the rm use to produce this output