Farm Management

1. Farm Management Chapter 7 Economic Principles Choosing Production Levels

2. Marginalism The term marginal refers to incremental changes, either increases or decreases, that occur at the edge or at the “margin.” It may help to mentally substitute “extra” or “additional” whenever the word marginally is used. But keep in mind that the “extra” can be negative.

3. The Farm

4. Production Function

5. Production Function • States the relationship between inputs and outputs • Inputs – the factors of production classified as: • Land – all natural resources of the earth – not just ‘terra firma’! • Price paid to acquire land = Rent • Labour – all physical and mental human effort involved in production • Price paid to labour = Wages • Capital – buildings, machinery and equipment not used for its own sake but for the contribution it makes to production • Price paid for capital = Interest

6. Production Function Inputs Process Output Land Product or service generated – value added Labor Capital

7. Analysis of Production Function:Short Run • In the short run at least one factor fixed in supply but all other factors capable of being changed • Reflects ways in which firms respond to changes in output (demand) • Can increase or decrease output using more or less of some factors but some likely to be easier to change than others • Increase in total capacity only possible in the long run

8. Analysis of Production Function:Short Run In times of rising sales (demand) firms can increase labour and capital but only up to a certain level – they will be limited by the amount of space. In this example, land is the fixed factor which cannot be altered in the shortrun.

9. Analysis of Production Function:Short Run If demand slows down, the firm can reduce its variable factors – in this example it reduces its labour and capital but again, land is the factor which stays fixed.

10. Analysis of Production Function:Short Run If demand slows down, the firm can reduce its variable factors – in this example, it reduces its labour and capital but again, land is the factor which stays fixed.

11. Analysing the Production Function: Long Run • The long run is defined as the period of time taken to vary all factors of production • By doing this, the firm is able to increase its total capacity – not just short term capacity • Associated with a change in the scale of production • The period of time varies according to the firm and the industry • In electricity supply, the time taken to build new capacity could be many years; for a market stall holder, the ‘long run’ could be as little as a few weeks or months!

12. Analysis of Production Function:Long Run In the long run, the firm can change all its factors of production thus increasing its total capacity. In this example it has doubled its capacity.

13. Production Function • Mathematical representation of the relationship: • Q = f (K, L, La) • Output (Q) is dependent upon the amount of capital (K), Land (L) and Labour (La) used

14. Table 7-1 Production Function in Tabular Form

15. Marginal Physical Product Marginal physical product (MPP) is the additional TPP produced by using an additional unit of input. MPP = TPP input level

16. Figure 7-1 Graphical illustration of a production function

17. Stages of Production • Stage I: APP increasing, MPP>APP, TPP increasing • Stage II: APP decreasing, MPP<APP, TPP increasing • Stage III: TPP decreasing, MPP<0

18. Law of Diminishing Marginal Returns As additional units of a variable input are used in combination with one or more fixed inputs, marginal physical product will eventually begin to decline. Diminishing returns may start with the first unit of input used, or may start later after a period of increasing returns.

19. How Much Input to Use • Do not produce in Stage III, because more output can be produced with less input. • Do not normally produce in Stage I because the average productivity of the inputs continues to rise in this stage. • Stage II is the “rational stage” of production.

20. Marginal Input Cost  total input cost MIC =  input level TIC = amount of input × input price If input price is constant: MIC = input selling price

21. Table 7-2 Marginal Value Product, Marginal Input Cost and the Optimum Input Level input price = $12; output price = $2

22. The Decision Rule MVP => MIC If MVP > MIC, additional profit can be made by using more input. If MIC > MVP, less input should be used.

23. How Much Output to Produce An alternative way to find the profit-maximizing point is to find directly the amount of output that maximizes profit.

24. Marginal Value Product  total value product MVP =  input level TVP = TPP × product selling price If output price is constant: MVP = MPP × product selling price

25. Marginal Revenue  total revenue MR =  total physical product Total revenue = Total value product If output price is constant: MR = output selling price

26. Marginal Cost  total input cost MC =  total physical product

27. The Decision Rule MR=MC The decision rule, MR=MC, leads to the same point as the decision rule MVP=MIC.

28. Table 7-3 Marginal Revenue, Marginal Cost and the Optimum Output Level input price = $12; output price = $2

29. Applying the Marginal Principles Given prices for irrigation water and for corn, the principles from the last two sections can be used to determine the amount of water and the corresponding amount of corn that will maximize profit.

30. Table 7-4 Determining the Profit-Maximizing Irrigation Level for Corn Production water at $3.00/acre-inch, corn at $2.50/bu

31. Equal Marginal Principal In some situations an input may be limited so that the profit-maximizing point cannot be reached for all possible uses. A limited input should be allocated among competing uses in such a way that the marginal value products of the last unit used on each alternative are equal.

32. Marginal value products ($) Irrigation Grain water Wheat Sorghum Cotton (acre-inch) (100 acres) (100 acres) (100 acres) 0 4 1,200 1,600 1,800 8 800 1,200 1,500 12 600 800 1,200 16 300 500 800 20 50 200 400 Each application of 4 acre-inches on a crop is a total use of 400 acre-inches (4 acre-inches times 100 acres) Table 7-5 Application of the Equal Marginal Principle to the Allocation of Irrigation Water

33. Figure 7-2 Illustration of the equal marginal system

34. Summary Economic principles using the concept of marginality provide useful guidelines for decision making. MVP and MIC are equated to find the profit-maximizing input level. MR and MC are equated to find the profit-maximizing output level. The equal marginal principle is used when a limited input must be allocated among competing uses.

35. Costs

36. Costs • In buying factor inputs, the firm will incur costs • Costs are classified as: • Fixed costs – costs that are not related directly to production – rent, rates, insurance costs, admin costs. They can change but not in relation to output • Variable Costs – costs directly related to variations in output. Raw materials primarily

37. Costs • Total Cost - the sum of all costs incurred in production • TC = FC + VC • Average Cost – the cost per unit of output • AC = TC/Output • Marginal Cost – the cost of one more or one fewer units of production • MC= TCn – TCn-1 units

38. Costs • Short run – Diminishing marginal returns results from adding successive quantities of variable factors to a fixed factor • Long run – Increases in capacity can lead to increasing, decreasing or constant returns to scale

39. Revenue

40. Revenue • Total revenue – the total amount received from selling a given output • TR = P x Q • Average Revenue – the average amount received from selling each unit • AR = TR / Q • Marginal revenue – the amount received from selling one extra unit of output • MR = TRn – TR n-1 units

41. Profit

42. Profit • Profit = TR – TC • The reward for enterprise • Profits help in the process of directing resources to alternative uses in free markets • Relating price to costs helps a firm to assess profitability in production

43. Profit • Normal Profit – the minimum amount required to keep a firm in its current line of production • Abnormal or Supernormal profit – profit made over and above normal profit • Abnormal profit may exist in situations where firms have market power • Abnormal profits may indicate the existence of welfare losses • Could be taxed away without altering resource allocation

44. Profit • Sub-normal Profit – profit below normal profit • Firms may not exit the market even if sub-normal profits made if they are able to cover variable costs • Cost of exit may be high • Sub-normal profit may be temporary (or perceived as such!)

45. Profit • Assumption that firms aim to maximise profit • May not always hold true - there are other objectives • Profit maximising output would be where MC = MR

46. Added to total profit Reduces total profit by this amount Total added to profit Added to total profit Profit Why? If the firm were to produce the 104th unit, this last unit would cost more to produce than it earns in revenue (-105) this would reduce total profit and so would not be worth producing. The profit maximising output is where MR = MC Assume output is at 100 units. The MC of producing the 100th unit is 20. The MR received from selling that 100th unit is 150. The firm can add the difference of the cost and the revenue received from that 100th unit to profit (130) Cost/Revenue The process continues for each successive unit produced. Provided the MC is less than the MR it will be worth expanding output as the difference between the two is ADDED to total profit If the firm decides to produce one more unit – the 101st – the addition to total cost is now 18, the addition to total revenue is 140 – the firm will add 128 to profit. – it is worth expanding output. MC MC – The cost of producing ONE extra unit of production MR – the addition to total revenue as a result of producing one more unit of output – the price received from selling that extra unit. 150 145 140 120 40 30 20 MR 18 Output 100 101 102 103 104