Suppose a good is produced according to the following production function: Q = L 1/2 K 1/2
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Question:
- Suppose a good is produced according to the following production function:
Q = L1/2K1/2
so that the marginal product of labor and capital are
MPL = (1/2)(K/L)1/2
MPK = (1/2)(L/K)1/2
If w = $8 and r = $4, determine the necessary conditions for the input choices, K and E to be cost-minimizing. In other words, what is the cost-minimizing ratio of K to E for this firm? Your answer will be in the form of 2L: 5K. You do not need to solve for specific values of L&K.
Related Book For
Microeconomics An Intuitive Approach with Calculus
ISBN: 978-0538453257
1st edition
Authors: Thomas Nechyba
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