What is the expansion path function for a constant-returns-to-scale Cobb-Douglas production function q=AL K-an What is the expansion path for the estimated beer manufacturer, which has a production function of q=1.52L0.6K0.4 Use the tangency condition between the isocost and the isoquant that determines the cost-minimizing factor ratio to derive the expansion path. For the Cobb-Douglas production function, the marginal product of labor, MPL, as a function of L, K, a, and/or q, is MPL = MPK = aq L The marginal product of capital, MPK, as a function of L, K, a, and/or q, is