Short Answer

Comparative Payoff Analysis

A farmer is comparing two pest control methods, Method X and Method Y.

  • Method X is projected to yield a total crop revenue of $18,000. The cost of implementing this method is $2,500, and it requires an additional $500 for a water filtration system.
  • Method Y is projected to yield a total crop revenue of $19,000. The cost of implementing this method is $4,000, and it does not require a filtration system.

The farmer also has a fixed annual land lease payment of $3,000, which must be paid regardless of the pest control method chosen.

Given that a 'payoff' is defined as the net income resulting from a particular choice, calculate the payoff for both Method X and Method Y. Then, explain why the land lease payment is not included in the payoff calculation for either method.

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Updated 2025-10-04

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