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Lectures in Microeconomics-Charles W. Upton Applications of Cost Functions
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Allocating output between two different plants A manufacturer has two different plants, A and B. He wants to produce q*. How should he allocate the production between the two plants?
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Applications of Cost Functions The two AC and MC functions AC MC Plant A
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Applications of Cost Functions The two AC and MC functions AC MC AC Plant APlant B
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Applications of Cost Functions Optimizing Production q* MC B MC A Graph MC of plant A in the usual fashion
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Applications of Cost Functions Optimizing Production q* MC B MC A But graph MC of plant B relative to the right axis
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Applications of Cost Functions Optimizing Production q* qaqa qbqb MC B MC A Set output where MC A = MC B
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Applications of Cost Functions Wrong Answers q* qaqa qbqb MC B MC A Use plant with lower AC Use plant with lower MC
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Applications of Cost Functions New Plants AC MC Plant A-Old Design
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Applications of Cost Functions New Plants AC MC AC Plant A-Old Design Plant B-New Design
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Applications of Cost Functions New Plants AC MC AC LRMC
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Applications of Cost Functions New Plants AC MC AC LRMC qaqa
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Applications of Cost Functions The Moral of the Story MC A = MC B
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Applications of Cost Functions The Moral of the Story MC A = MC B LRMC = minimum of AC MC AC LRMC
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Applications of Cost Functions End ©2004 Charles W. Upton
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