gen-define-the-economics-of-fertilizer-application-and-give-one-b1d3

Define the economics of fertilizer application and give one short worked example.

# Economics of Fertilizer Application ## Definition The economics of fertilizer application involves determining the **optimal fertilizer rate** that maximizes **net profit** rather than maximum yield. It balances the cost of fertilizer against the revenue gained from increased crop production. ## Key Principles 1. **Law of Diminishing Returns**: Each additional unit of fertilizer produces smaller yield increases 2. **Optimal Rate**: Apply fertilizer up to the point where the cost of the last unit equals the revenue it generates 3. **Formula**: - Continue application while: **(Price of additional yield) > (Cost of fertilizer)** - Optimal point: **Marginal Cost = Marginal Revenue** --- ## Worked Example **Scenario**: A farmer is considering nitrogen fertilizer for corn. **Given:** - Corn price: $5.00 per bushel - Nitrogen fertilizer cost: $0.50 per lb - Fertilizer response data: | N Applied (lb/acre) | Yield (bu/acre) | Additional Yield | |---------------------|-----------------|------------------| | 0 | 80 | - | | 50 | 130 | 50 | | 100 | 165 | 35 | | 150 | 185 | 20 | **Analysis:** - **50 lbs N**: Revenue = 50 bu × $5 = $250; Cost = 50 × $0.50 = $25; **Net = +$225** - **100 lbs N**: Additional revenue = 35 × $5 = $175; Additional cost = $25; **Net = +$150** - **150 lbs N**: Additional revenue = 20 × $5 = $100; Additional cost = $25; **Net = +$75** **Conclusion**: Apply **150 lbs N/acre** for maximum profit ($350 total net gain), even though yield still increases slightly.