3. Consider a firm that employs univariate technology (x E R. ), y = f(x) = x 2, to produce scalar output y. a. Find the profit function, It(p, w) for this firm. To accomplish this, simply solve for x*(P.W) and plug it back into the expression for profit. I (p, w) = p x f[x*(p, w)] - w x x*(p, w) . Simplify is possible. b. Show that the profit function is homogenous of degree one in prices (p, w). Explain why this should be true