4.(10) Suppose that a firm's production function is Q = 20L1/3K2/3and the cost of a unit of labour is $50 per hours and the cost of a unit of capital is $40 per hour.

a.(2) Does this firm experience increasing returns to scale? Why or why not? What are increasing returns to scale?

b.(2) Determine the marginal product of labour, the marginal product of capital, and the MRTS, marginal rate of technical substitution, for this firm. Explain or show how you arrived at your answer.

c.(2) What is the cost minimization condition and the optimal capital labour ratio (tangency condition)?

d.(2)If the firm wants to produce 200 units of output, determine the approximate amount of capital and labour that allows the firm to produce this output and minimize the cost of production.

e.(2)What is the total cost of producing 200 units?