A firm's production function is f(x1, x2) = y = (min{x1, 5x2})^(1/2). If the price of factor 1 is w1 = $5 per unit and the price of factor 2 is w2 = $25 per unit, derive the total cost function (function of y) and the supply function (function of output price, p). A competitive firm has a long-run total cost function c(y) = 3y^2 + 675 for y > 0 and c(0) = 0. Derive the long-run supply function.