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Learn about production decisions, resource types, production functions, and impact of technology in agricultural economics. Understand the value relationships and firms' demand for inputs to optimize production efficiency.
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Introduction to Agricultural and Natural Resources Introduction to Production and Resource Use FREC 150 Dr. Steven E. Hastings
Introduction to Production and Resource Use • This Outline Covers the First part of Chapter 6 in Penson et al. • Major Topics • Production Decisions • Types of Resources • The Production Function – TPP, AVP and MPP • Impact of Technology • Value Relationships • Firm’s Demand for an Input • An Application of Eqi-marginal Return • Summary
Important Concepts • Production Decisions • Important Concepts: • Production – the process of transforming resources into goods and services (again, soil to corn flakes) • Resources - inputs (land, management, capital, etc.) • Goods and Services – provide satisfaction to consumers • Important Questions: • What to produce? How to produce? How much to produce?
Types of Resources (Inputs) • Many ways to distinguish resources. • By type: land, labor, capital and management. • Fixed and Variable – this distinction is based on the concept of the producer’s planning horizon, which varies by producer and/or good or service. • A “fixed input” can not be changed in the short-run. • A “variable input” can be changed in the short run. • In the “long-run” all inputs are variable.
The Production Function • A “model” that represents the “physical” relationship between inputs (fixed and variable) and output. • Mathematically – Y=f(X1 / X2, X3…Xn held constant) • Verbally – Y is the maximum amount of a good that can be produced with increasing amounts of X1 holding all other inputs, X2, X3…Xn, constant – given a state of technology. • Graphically – see Table 6-1 and Figure 6-1
Product Curves • Total Physical Product (TPP) • Average Physical Product (APP) = TPP/X1 • Marginal Physical Product (MPP) = • TPP / X1 • In a “normal shaped” production function, MPP captures the “Law of Diminishing Marginal Productivity” – as additional amounts of a variable input are added to a set of fixed inputs, the MPP will increase, reach a maximum, and then decrease. • Mathematically, MPP is the slope (rise over run) of the TPP.
Stages of Production (I, II and III) – the APP and MPP allows us to start to “narrow in” on the optimum amount for the producer to produce. • Stage I - APP is increasing (efficiency is increasing) and MPP > APP (getting more from an additional unit than the average unit). Irrational to produce in this area: can increase net revenue by moving to Stage II. • Stage II - APP > MPP and MPP is positive. Rational area to produce in. • Stage III - MPP is negative. An additional input reduces TPP. Irrational to produce in this area.
Stages of Production FREC 150 – Economics of Agricultural and Natural Resources
Effect of New Technology • New technology “shifts” the production function in a variety of ways. See Figures 3-2 and 3-3 (old book). • Typically, allows producer to get more output per unit of input over at least some range of production. • Examples: • the assembly line for car production (1908) • new seed varieties – The Green Revolution (1945) • new pesticides and herbicides • “robotic welders”
Value Relationships • Physical values (bushels of corn, for example), allow you to identify a range of possible optimal input levels – Stage II. • To identify the exact amount, need to convert the output (bushel of corn) to dollar value of the output (the value of a bushel of corn). • This is done by scaling (or multiplying) TPP, APP and MPP by the price of a bushel of corn – what a bushel of corn can be sold for in the market. • This converts • TPP to Total Value Product or TVP. • APP to Average Value Product or AVP, and • MPP to Marginal Value Product or MVP. • TVP, AVP and MVP are Dollar Values ($$) • See Table 6-5 and Figure 6-6. • For graphing purposes, the vertical axis is now in Dollars.
Value Relationships Correction: 5 is 3 – 4 In Table 6-5.
Most Useful Concept • Marginal Value Product (MVP) - the amount added to "revenue" when an additional unit of the variable input is used. • MVP = TVP / X1= change in the value of output / unit change in input or • = MPPinput * Poutput • One Final Thing – The Cost of the Input • Marginal Factor Cost (MFC or MIC) measures the addition to total cost of an additional unit of an input. • MFCinput is equal the market price of the input.
Optimum Amount of a Variable Input to Use • Then optimum amount of a variable input is being used when: • MVPinput = MFCinput • The cumulative net benefit (the total revenue over the total cost of using the variable input ) is maximized! • See Table 6-5.
A Firm’s Demand for a Variable Input • It is the quantity of an input the firm would buy at alternative prices. • Specifically, the firm's demand curve for an input is the MVP curve (within Stage II of production), ceteris paribus. • The firm's demand for an input is a derived demand. That is, it is derived from the demand for the output produced by the input. • Factors that cause the demand for an input to change are: • Change in demand (and price ) of the output • Change in the productivity of the input • Change in the price of other inputs (substitutes and complements)
An Application of the MVP Concept • Use of a Resource to Benefit Society • The fixed amount (1 million gallons) of water in a reservoir can be used to irrigate corn on a nearby farm or as a coolant in a nearby plant that makes X’s (any product). • You are hired by “society” and put in charge of allocating the water? • How should the water be allocated between the two uses?
Information Needed • If water used to grow corn - • If water used to make X’s -
Flip the Right Graph! $ $ Water to Farm Water to Plant What is the optimum allocation? Why?
Principle of Equi-marginal Returns • Principle of Equi-marginal Returns – a scarce resource should be allocated between alternative uses so that the marginal returns (in this case, MVP’s) are equal in the alternative uses. • What if local environmentalists want to keep the water in place for aesthetic purposes? What about fisher-men, -women? • What are the implications for how society should allocate scarce resources? • Land? Cars? Water? >>> >>> TVs? Forests? Food?
Introduction to Production and Resource Use • Summary • The combination of physical and value (dollar) relationships between inputs and output allows us to make fundamental decisions regarding resource use and allocation in our economic system. • Lecture Sources: Text and Miscellaneous Materials