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. Draw isoquants for q = 1, q = 2 and q = 3 on a diagram with labour on horizontal axis and wool on vertical axis.

Microeconomic Theory
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Chapter9: Production Functions
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Problem 9.4P
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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.

Draw isoquants for q = 1, q = 2 and q = 3 on a diagram with labour on horizontal axis
and wool on vertical axis.

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