A farm produces Q tons of wheat with the production function: Q = 30L1f3K1f\" Where L is the hours of labour and K the quantity of capital. (a) 1 Derive the marginal product of L and K 2- Get the second-order partial derivative. Verify that % = adTasQE' 3- Provide an interpretation of the sign of each second-order derivatives (b) The farm sells each ton of wheat for a price of 10 per ton. The production costs are a function of the quantity of inputs: C=wL+rK where w is the hourly wage and r is the price of capital. Let assume that w = 5 and r = 4. The farm currently uses 250 units of labour and 3000 units of capital. 1 - Write down the prot function and the rst-order derivatives 2 - Evaluate the rst-order derivatives with this level of inputs 3 What should the farm do to increase prots