Given the Cobb-Douglas production function Q = 100L^0.3K, L,K > 0. (a) Write down the equation of the isoquant for Q = 800 in the form K = f(L). (b) Show by differentiation that f(L) is convex. (c) Find the values of L and K, to 2 decimal places, for which the production is maximized under the budget restriction L + 2K = 30 using the Lagrange method. (d) If the budget increases by 1 (that is, increases from 30 to 31), compute the resulting change (rounded off to 3 decimal places) in the maximal level of production, using the Lagrange multiplier method.