Suppose the production function is Cobb-Douglas and f(x1,x2)) = x11/2x3/22 1. Write an expression for the marginal product of x1. 2. Does marginal product of x1 increase for small increases in x1, holding x2 fixed? Explain 3. Does an increase in the amount of x2 lead to decrease the marginal product of x1? Explain

Suppose the production function is Cobb-Douglas and f(x₁,x₂)₎ = x₁^1/2x^3/2₂
1. Write an expression for the marginal product of x_1.
2. Does marginal product of x₁ increase for small increases in x_1, holding x₂ fixed? Explain
3. Does an increase in the amount of x₂ lead to decrease the marginal product of x_1? Explain
4. What is the the technical rate of substitution between x₂ and x_1?
5. What is the type of returns to scale of this production function? (Increasing, decreasing,
constant)