Alex uses wool (K) and labour (L) to produce t-shirts (q). The production function is: q = min{L/4, K^0.8}. If he uses 1 kg of wool and 3 hours of labour, he can produce 1 t-shirt. 1. Draw isoquants for q = 1, q = 2 and q = 3 on a diagram with labour on horizontal axis and wool on vertical. 2. Given that the price of labour is w=$10 and the price of each kg of wool is p=$6

Microeconomic Theory
12th Edition
ISBN:9781337517942
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Chapter9: Production Functions
Section: Chapter Questions
Problem 9.1P
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Alex uses wool (K) and labour (L) to produce t-shirts (q).

The production function is: q = min{L/4, K^0.8}.
If he uses 1 kg of wool and 3 hours of labour, he can produce 1 t-shirt.
1. Draw isoquants for q = 1, q = 2 and q = 3 on a diagram with labour on horizontal axis and wool on vertical.

2. Given that the price of labour is w=$10 and the price of each kg of wool is p=$6
What is the optimal amount of labour and fruit to use to produce q T-shirts, if she wants to minimise costs?  Draw on the diagram from 1.) by with corresponding isocost lines

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