The production function is: Q=ALaKb
where a > 0 and b > 0.
a. The marginal product of labor is: MPl =_____________
b. The marginal product of labor is: MPk =_____________
c. The marginal rate of technical substitution is: MRTS=______________
d. Show that the isoquants for this production function are convex. (Show that MRTS diminishes as L increases. Why?)
e. Derive the equation for the long-run expansion path.