Brian uses wool (K) and labour (L) to produce t-shirts (q). The production function is: q = min{1/3L, 2K}. The inputs are perfect complement. If he uses 0.5 kg of wool and 3 hours of labour, he can produce 1 t-shirt. The pice of wage per hour is given by w=$10 and the price of each kg of wool is given by r=$4. What is the long run total cost function, C(q)? Sketch it on the diagram.

Exploring Economics
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ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter11: The Firm: Production And Costs
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Brian uses wool (K) and labour (L) to produce t-shirts (q).

The production function is: q = min{1/3L, 2K}. The inputs are perfect complement.
If he uses 0.5 kg of wool and 3 hours of labour, he can produce 1 t-shirt.

The pice of wage per hour is given by w=$10 and the price of each kg of wool is given by r=$4. What is the long run total cost function, C(q)? Sketch it on the diagram. 

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