Costs of Production (AQA A Level Economics)

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Different Types of Costs

  • In preparing goods/services for sale, firms incur a range of costs. These costs can be be broken into different categories
  1. Fixed costs (FC) are costs that do not change as the level of output changes
    • These have to be paid whether output is zero or 5000 
      • E.g. Building rent, management salaries, insurance, bank loan repayments, etc.

  2. Variable costs (VC) are costs that vary directly with output
    • These increase as output increases, & vice versa
      • E.g. Raw material costs, wages of workers directly involved in production

  3. Total costs (TC) are the sum of the fixed + total variable costs

The distinction between short run and long run costs

  • The distinction between short run and long run costs revolves around the degree of flexibility in adjusting inputs (the factor of production)
     
  • In the short run, some inputs are fixed and cannot be varied easily, such as capital equipment or the size of the production facility
    • Variable inputs like labour and raw materials can to a certain extent be adjusted
    • Short run costs include both fixed and variable costs, but the state of capital is fixed
       
  • In the long run, all inputs are able to change

    • Firms have the flexibility to adjust their production processes, expand or contract their scale of operations, and invest in new capital equipment

    • Consequently, all costs become variable as firms can make adjustments to their input mix to optimise production efficiency

Cost Calculations & Cost Graphs

  • Based on the above definitions, we can calculate several different types of costs
  1. begin mathsize 14px style Total space costs space left parenthesis TC right parenthesis space equals space total space fixed space costs space left parenthesis TFC right parenthesis space plus space total space variable space costs space left parenthesis TVC right parenthesis end style

  2. begin mathsize 14px style Total space variable space cost space left parenthesis TVC right parenthesis space equals space variable space cost space left parenthesis VC right parenthesis space cross times space quantity space left parenthesis straight Q right parenthesis end style

  3. Average space total space cost space left parenthesis AC right parenthesis space equals space fraction numerator total space cost space left parenthesis TC right parenthesis over denominator quantity space left parenthesis straight Q right parenthesis end fraction

  4. Average space fixed space cost space left parenthesis AFC right parenthesis space equals space fraction numerator Total space fixed space costs space left parenthesis TFC right parenthesis over denominator quantity space left parenthesis straight Q right parenthesis end fraction

  5. begin mathsize 14px style Average space variable space cost space left parenthesis AVC right parenthesis space equals space fraction numerator Total space variable space costs space left parenthesis TVC right parenthesis over denominator quantity space left parenthesis straight Q right parenthesis end fraction end style

  
Cost Calculations Using the Above Formulas Where VC is $60

Output (Q) TFC TVC = begin mathsize 11px style $ 60 space straight x space straight Q end style TC = TFC plus TVC AFC = TFC over straight Q AVC = begin mathsize 11px style TVC over straight Q end style AC = TC over straight Q
0 200 - 200 - - -
1 200 60 260 200 60 260
2 200 120 320 100 60 160
3 200 180 380 66.67 60 126.67
4 200 240 440 50 60 110
5 200 300 500 40 60 100
6 200 360 560 33.34 60 93.33
7 200 420 620 28.58 60 88.57
8 200 480 680 25 60 85

A Graphical Representation of Costs


Type of Cost


Diagram


Explanation

Fixed Cost (FC)

3-7-1-fixed-costs

  • The firm has to pay its fixed costs which do not change, irrespective of whether the output is 0 or 100,000 units
  • The fixed costs for this firm are $4,000

Variable Cost (VC)

3-7-2-variable-costs

  • The variable costs initially rise proportionally with output, as shown in the diagram
  • At some point, the firm will benefit from a purchasing economy of scale and the rise will no longer be proportional

Total Cost (TC)

_ZxiGabU_3-7-2-total-costs

  • The total cost is the sum of the variable & fixed costs
  • The total costs cannot be zero, as all firms have some level of fixed costs

Average Fixed Cost (AFC)

3-7-2-average-fixed-costs

  • If the fixed costs of a firm are $1,000 and it produces 1 unit of output, then its AFC is $1,000 ($1,000/1)
  • If the firm increases its output to 1000 units, then the AFC is $1 per unit ($1000/1,000)
  • The more units a firm produces, the lower its AFC will be
  • This is one reasons why large levels of output help to increase the profit per unit

Average Total Cost (AC)

3-7-2-average-total-costs

  • As a firm grows, it is able to increases its scale of output generating efficiencies that lower its average total costs (AC) of production
  • These efficiencies are called economies of scale 
  • As a firm continues increasing its scale of output, it will reach a point where its average total costs (AC) will start to increase
  • The reasons for the increase in the average costs are called diseconomies of scale

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Steve Vorster

Author: Steve Vorster

Steve has taught A Level, GCSE, IGCSE Business and Economics - as well as IBDP Economics and Business Management. He is an IBDP Examiner and IGCSE textbook author. His students regularly achieve 90-100% in their final exams. Steve has been the Assistant Head of Sixth Form for a school in Devon, and Head of Economics at the world's largest International school in Singapore. He loves to create resources which speed up student learning and are easily accessible by all.