Just D, E, F

3. Let Uber's production function be given by y : KL2 L3, where y is the passenger-miles per quarter, K is car-hours / quarter of capital services and L is driverhours / quarter of labor services, and K, L > 0. (a) (2) Derive expressions for the marginal product of labor services (MP1,), capital services (M PK) and the marginal rate of technical substitution of labor services for capital services (M RTSLK). (b) (2) Derive the expression for the elasticity of substitution, or. (c) (2) Dene the conditions for the economic region of production in terms of K and L. (d) (1) In the economic region, are M PL and M PK diminishing in labor and capital, respectively? (8) (2) In the economic region, mathematically show that the production technology is convex. In plain English, describe what it means for a production technology to be CODVBX. (f) (1) Does the production function exhibit increasing, decreasing or constant returns to scale