5 Question 5 A bottling company uses two inputs to produce bottles of the soft drink Dr Pibb; bottling machines, K, and workers, L. The firm's production function exhibits diminishing MRTS. At its current level of production, the firm spends 800 per day on machinery and 200 per day paying wages to its workers. At this level of production, the marginal product of the machine is an additional 200 bottles per day and the marginal product of labor is 50 more bottles per day. Is this firm producing at minimum cost? If it is minimizing cost, explain why. If it is not minimizing cost, explain how the firm can lower its cost.

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5 Question 5
A bottling company uses two inputs to produce bottles of the soft drink Dr Pibb; bottling machines,
K, and workers, L. The firm's production function exhibits diminishing MRTS. At its current level of
production, the firm spends 800 per day on machinery and 200 per day paying wages to its workers.
At this level of production, the marginal product of the machine is an additional 200 bottles
per day
and the marginal product of labor is 50 more bottles per day. Is this firm producing at minimum
cost? If it is minimizing cost, explain why. If it is not minimizing cost, explain how the firm can
lower its cost.
Transcribed Image Text:5 Question 5 A bottling company uses two inputs to produce bottles of the soft drink Dr Pibb; bottling machines, K, and workers, L. The firm's production function exhibits diminishing MRTS. At its current level of production, the firm spends 800 per day on machinery and 200 per day paying wages to its workers. At this level of production, the marginal product of the machine is an additional 200 bottles per day and the marginal product of labor is 50 more bottles per day. Is this firm producing at minimum cost? If it is minimizing cost, explain why. If it is not minimizing cost, explain how the firm can lower its cost.
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