Assume that crop rent gradients for three different crops are a function of crop type and soil fertility.  The rent gradient for broccoli is -.02r+3.  The rent gradient for spinach is -.005r+2 and the rent gradient for wheat is -.00167r+1.  Given a farm with 600 acres, how many acres would be planted with each crop? How would this change if the government decides to subsidize spinach production by $0.50—shifting the curve out by $0.50?

Economics:
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ISBN:9781285859460
Author:BOYES, William
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Chapter32: The Land Market And Natural Resources
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Question #3. Assume that crop rent gradients for three different crops are a function of crop type and soil fertility.  The rent gradient for broccoli is -.02r+3.  The rent gradient for spinach is -.005r+2 and the rent gradient for wheat is -.00167r+1. 

  1. Given a farm with 600 acres, how many acres would be planted with each crop?
  2. How would this change if the government decides to subsidize spinach production by $0.50—shifting the curve out by $0.50?
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