Question 5: Suppose that a country's production is described by the following production function: r : KDJELDJS a. Derive the Marginal Product of Labour {MPL} for this production function. Express your result in terms of the ratio W1. Does the MPL depend on current level of K? Does it depend on current level of L? Is it always positive? Conrm the existence of the diminishing marginal product of labour. I]. Derive the Marginal Product of Capital {MPH} for this production function. Express your result in terms of the ratio Will Does the MPH depend on current level of K? Does it depend on current level of L? Is it always positive? Donnn the existence of the diminishing returns on capital. 1:. Compute the country's GDP, GDP per capita1 lleL and lleF-Z for K = 20 and L = 14] Do you think that the GDP would be higher for K = 10 and L = 2n Explain your answer and check it by computing the corresponding output. d. Compute the country's GDP, for H = 4'01 and L = 211 Compare it with your answer in d and explain if this function has constant returns to scale or not