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Suppose that a firm’s Cobb-Douglas production function involves two inputs, labour (L) and capital (K) and is represented by strictly convex isoquants. The firm is currently producing 400 units of output by hiring 25 units of labour and 10 units of capital.
- labour is half as expensive as capital to hire, and
- at the current input combination, the marginal productivity of labour is twice that of the marginal productivity of capital, i.e., MPl = 2MPk
Based on the above information, answer the following questions:
a) What is the third digit of your Deakin student ID number and which of the above scenarios apply to you? Based on this scenario, answer all the parts below.
b) Suppose that labour is kept on the horizontal axis while capital is kept on the vertical axis. What is the absolute MRTS at the current input combination? Show your working.
c) Is the firm currently minimizing cost of producing 400 units of output? If not, determine the best course of action for the firm to produce 400 units of output if it wants to minimize its costs. Explain your answer. [Note: You do not need to do any calculations or provide an exact numerical answer]
13 days ago
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Suppose a firm's production function is given by Q = F(L,K)= 5LK,where L is the amount of labour and K is the amount of capital.The wage rate is $100 per unit of labour and the rental rate of capital is $50 per unit of capital. a)What is the least-cost combination of capital and labour if the firm produces 1000 units of output? b)What is the firm's long run cost function? c)If the firm currently uses 10 units of capital,what is its short-run cost function?
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