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Farm & Ranch Business Management
Cost & Return Analysis Farm & Ranch Business Management Original Power Point Created by Casey Osksa Modified by Georgia Agricultural Education Curriculum Office June 2002
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Production Function As inputs are changed, outputs are changed also
Example: fertilizing wheat
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Where is the maximum profit?
Lbs. Of Fertilizer Yield
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Law of Diminishing Returns
As an input is added in production, the output will increase at an increasing rate, then at a decreasing rate, and finally decline English Translation: if you were to increase the amount of fertilizer on wheat, your yield in bu./acre would increase dramatically for the first few units, until you added enough fertilizer that the rate of yield increase would slow down, and may even become negative
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Law of Diminishing Returns
Lbs. Of Fertilizer Yield Added
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Stages of the Production Function
Stage #1: increasing average return for each added unit of input Average Product = Total Yield divided by number of units added
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Stage #1 Example Lbs. Of Fert. Yield Added Avg Prod. 0 20 0 20
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Stages of the Production Function
Stage #2: begins when the marginal product equals the average product. Diminishing returns begin to develop in stage #2 Stage #3: begins when the marginal product becomes 0. Total product decreases if input is increased
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Stage #3 of the Production Function
Lbs. Of Fert. Yield Added Avg Prod.
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How much fertilizer? Lbs. Of Fert. Yield Added Avg Prod. 0 20 0 20
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Profit Maximizing Rule
Add the variable input (fertilizer) to the point where the value of the marginal product equals the value of the added input.
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Profit Maximizing Rule
Fert. Total Yield Lbs. Cost Yield Added Val.Add Avg Prod. 20 $ $15 25 40 $ $21 16 60 $ $ 80 $ $ 100 $ $9 9.2 120 $ $
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Profit Maximizing Rule
Fert. Total Yield Lbs. Cost Yield Added Val.Add Avg Prod. 20 $ $ 40 $ $ 60 $ $ 80 $ $ 100 $ $ 120 $ $
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Fixed Costs Not used in profit maximizing rule
Must be considered to determine if you will make a profit or not
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Opportunity Cost Cost of using a resource in one way based on the return that could be obtained from using the resource in another way Ex: labor, what is your labor worth if not farming? Ex: interest, your money could sit in a bank and earn interest, or be used to invest in your business (farm)
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Least Cost: Mathematical Approach
If one input (soybean meal) can be substituted for another (corn) Usually don’t substitute at equal rates Change in corn = Price of SBM Change in SBM Price of Corn Corn = $.05 and SBM = $.13, ratio = .13/.05 = 2.6 Now divide changes and find a ratio of 2.6 Page 5-11
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