3 Suppose that a firm has cost function C(q, v, w) = 1/2w1/2q2. a) Suppose the firm sells their good on a competitive market, where the price of their good is $10. How much do they produce? Note: The answer will be a function of v and w. b) Solve for the firm's contingent demand functions for labor and capital. c) Solve for the firm's unconditional demand functions for labor capital, using the fact that I(p. v, w) = l'(p. v. w) and k(p, v, w) = ke(p, v, w). d) Solve numerically for quantity produced and labor and capital demanded when v = 1, W =1. c) What happens to quantity produced and labor and capital demanded when v increases to 4