I mainly want to ask about question (3), how to prove that C(q)=A?q, where A is a constant that depends on w.

(2) Consider the following production function: f ( k, l ) = 10k . e Kte Wik+ vidcl. I ta st lok.l 1 2+ 1 . (a) Derive the conditional input demand functions. MPV = LR wl . (b) Derive the long-run total cost, marginal cost and average cost functions. (c) State and verify Shephard's lemma for the functions derived in (a) and (b). (d) When wk = 4 and we = 1, plot the long-run total cost, average cost and marginal cost functions. (3) Assume the production function f($1, . .. , "n) has constant returns to scale. For fix input prices w = (W1, . . . , Wn), argue that the total cost functions satisfies C(q) where A is a constant that depends on u