1. From the following production function, find the marginal product of capital, MPx and the marginal product of labor, MPL. Q=10K0.51 0.5 2. From the following utility function, find the marginal utility of x, MUx, and the marginal utility of y, MUy. U = X0.410.6 3. Suppose the equation of an indifference curve is u(x,y) = xy = 10. Calculate the slope of the indifference curve. 4. Suppose the equation of an isoquant is Q(K,L) = (0.510.5 = 200. Calculate the slope of the isoquant. 5. Suppose the equation of an indifference curve is u(x,y) = xy =k. Calculate the MRSx,y at the following points: A (2,8) and B (8,2)