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Cost Analysis

Cost - definition.

   the cost of production may be defined as
   the aggregate of expenditure incurred by
   the producer in the process of
   production.
   cost is, therefore, the valuation placed on
   the use of resources.
Cost Analysis

Cost - concepts.
Fixed Cost and Variable Cost


     Fixed costs are those costs that remain
    fixed, irrespective of changes in the
    output.
          They are incurred even if there is no output.
           Are incurred on buildings , equipment, etc.
             Are also known as supplementary costs
                                         or overheads
                                       or indirect costs.
Cost Analysis

Cost - concepts.
Fixed Cost and Variable Cost


    Variable costs are those costs which
    vary with the output.

  They include cost of raw materials, electricity, gas,
                                              fuel etc.
                       Are also known as Prime cost
                                  or Operating costs
                                       or direct costs.
Cost Analysis

Cost - concepts.
Fixed Cost and Variable Cost

     Fixed costs are those costs that remain
    fixed, irrespective of changes in the
    output.
    Variable costs are those costs which
    vary with the output.
              The distinction is valid in the short run.
   In the long run all factors are variable and thus all
                                     costs are variable.
Cost Analysis

Cost - concepts.
Total Cost, Average Cost and Marginal Cost

Total cost TC is the aggregate (sum total)
   cost of producing all the units of output.
       Y                        TC
Total 60                                            TVC
Cost 50
      40
      30
      20                                                            TFC
      10
                                                                          X
           1   2   3   4   Units of X   7   8   9   10    11   12
Cost Analysis

Cost - concepts.
Total Cost, Average Cost and Marginal Cost

      Total cost TC curve is parallel to the total
      variable cost TVC curve, as it is the sum of total
      fixed cost TFC & TVC.
       Y                      TC
Total 60                                        TVC
Cost 50
      40
      30
      20                                                           TFC
      10
                                                                         X
           1   2   3   4   Units of X   7   8   9   10   11   12
Cost Analysis

Cost - concepts.
Total Cost, Average Cost and Marginal Cost

    The average cost AC is the cost per unit of
    output produced.
               TC
AC =
               Q
    Where TC is total cost, AC is average cost and Q total quantity
    of output.
               Average cost is often referred to as Average Total Cost
                                           or Average Total Unit Cost.
Cost Analysis

Cost - concepts.
Total Cost, Average Cost and Marginal Cost

    The average fixed cost AFC is the fixed cost per
    unit of output produced.
                   TFC
    i.e. AFC =
                   Q
     ► If the output goes on increasing, the AFC will go on falling
    as the total fixed cost is thinly spread over the number of units
    of output.
    ► The average fixed cost curve slopes downwards from left to
    right as you can see next.
Cost Analysis

Cost - concepts.
Total Cost, Average Cost and Marginal Cost
    ► The average fixed cost curve slopes downwards from left to
    right as you can see below.


                                   160
                                   140
           A verage Fixed C os t




                                   120
                                   100
                                    80
                                    60
                                    40
                                    20
                                     0                                     AFC
                                         1   2    3            4   5   6
                                                      Output
Cost Analysis

Cost - concepts.
Total Cost, Average Cost and Marginal Cost
     The average variable cost AVC is the variable
     cost per unit of output.
                    TVC
i.e. AVC =
                        Q

To begin with the avc is very high, but as more and more units of
      output are produced , the firm starts enjoying economies and
      avc goes on falling.
After a certain size of output, increase in output brings in
      disadvantages , and avc begins to rise.
Cost Analysis

Cost - concepts.
Total Cost, Average Cost and Marginal Cost
    After a certain size of output, increase in output brings in
    disadvantages , and average variable cost begins to rise.

                                                  AVC Curve

                                     20
             Average Variable Cost




                                     15

                                     10

                                     5

                                     0
                                          1   2      3            4   5   6
                                                         Output
Cost Analysis

Cost - concepts.
Total Cost, Average Cost and Marginal Cost


    The average cost AC curve is the lateral
    summation of the average fixed AFC and
    variable cost AVC curves.
i.e. AC = AFC + AVC.
We saw that AFC curve slopes downwards & AVC first goes
downwards then bends upwards . AC curve which is
summation of these two , therefore, is U shaped.
Cost Analysis

Cost - concepts.

Total Cost, Average Cost and Marginal Cost
We saw that AFC curve slopes downwards & AVC first goes
downwards then bends upwards . AC curve which is
summation of these two , therefore, is U shaped.

     Further, when the firm starts production AC is high. Once
     output increases, it reaps benefits of economies of scale
     and AC falls. But once optimum combination of factors of
     production is reached , diseconomies set in, and AC
     starts rising. Thus the AC curve becomes U shaped.
Cost Analysis

Cost - concepts.
Total Cost, Average Cost and Marginal Cost

      Marginal cost is the net addition to total cost for
      producing an additional unit of output.
i.e. MCnth = TCn - TC n-1

MC depends only on variable costs.

                     ΔTC
         MC   =
                     ΔQ
Cost Analysis

Cost - concepts.
Total Cost, Average Cost and Marginal Cost

Relation between Average Cost and Marginal cost

When AC is falling, the MC lies below it.

MC cuts the AC at the lowest point of AC curve.

When AC starts to rise , the MC will be above the AC.
Cost Analysis

Cost - concepts.
Total Cost, Average Cost and Marginal Cost

Long Run Average Cost Curve.
     ► In the short run producer can increase his
    output only up to an optimum use of fixed
    assets.
    ►In the long run the scale of operation can be
    further increased with additions to fixed assets
    to the most feasible extent.
     ► There will be a new short run average cost each time
     the scale is revised. We can thus have a series of short
     run AC curves in the long run.
Cost Analysis

Cost - concepts.
Total Cost, Average Cost and Marginal Cost

Long Run Average Cost Curve. LRACC
► There will be a new short run average cost each
     time the scale is revised. We can thus have a
     series of short run AC curves in the long run.

►The tangent to all possible short run average cost
   curves gives us the long run AC curve. LRACC
Cost Analysis

Cost - concepts.
Total Cost, Average Cost and Marginal Cost

Long Run Average Cost Curve. LRACC
The tangent to all possible short run average cost
    curves gives us the long run AC curve. LRACC
► Under the assumption of constant factor prices
    and perfect divisibility of factors , the minimum
    points of AC lie in the same plane. Thus LRACC
    may become horizontal.
► That means the U shape of long run AC curve is
    flatter than the U shape of short run AC curves.
Cost Analysis

Cost - concepts.
Total Cost, Average Cost and Marginal Cost
L shaped Long Run Average Cost Curve. LRACC

◘    With continuous technological improvements
     and innovations the average cost gets reduced
     with each & every new long run AC curve.
Cost Analysis

Cost - concepts.
Total Cost, Average Cost and Marginal Cost
L shaped Long Run Average Cost Curve. LRACC
◘    With continuous technological improvements and
     innovations the average cost gets reduced with every
     new long run AC curve.


◘   The AC also reduces as a result of process of
    ‘learning’. With experience the factors of
    production deliver more output at the same
    cost.
Cost Analysis

Cost - concepts.
Total Cost, Average Cost and Marginal Cost
L shaped Long Run Average Cost Curve. LRACC
◘    With continuous technological improvements and
     innovations the average cost gets reduced with every
     new long run AC curve.
◘   The AC is reducing also as a result of process of
     ‘learning’. With experience, the factors of production
     deliver more output at the same cost.

◘    As a result over a period of time LRAC curve is
     more L shaped than U shaped.
Cost Analysis

Cost - concepts.
Learning and Cost


     There is an element of learning involved
     through experience.
     The learning curve (also known as
     experience curve) phenomenon has an
     effect on average costs, similar to that
     for any technological advance that
     provides an improvement in productive
     efficiency.
Cost Analysis

Cost - concepts.
Learning and Cost
     The fall in the average costs due to scale or
     technological factors and learning curve must
     be differentiated.

     Economies of scales are shown in terms of
     cost-output relation measured along the same
     LRWC curve.

     Learning cost relate cost differences to
     total cumulative output levels for a single
     product . These are measured in terms of
     shifts of average long run AC curves.
Cost Analysis

Cost - concepts.
Learning and Cost
                                                LRAC Curve

                                  20




                   Average Cost
                                  15

                                  10

                                  5

                                  0
                                       1    2       3            4   5   6
                                                        Output


LRACt Long Range AC curve for period T -----
LRACt+1 Long Range AC curve for period T+1 ------
As result of learning, long run AC has declined from LRACt to
LRACt+1 for every level of output.
Cost Analysis

Cost – other concepts.
A : Money Cost and Real Cost :-

♠    Money costs of production are the
     prices which have to be paid to
     factors of production. Expenses of
     production is money cost.



♠    The sacrifices of factors made during
     the process of production are the real
     costs. As such, real costs cannot be
     measured.
Cost Analysis

Cost – other concepts.
B: Explicit Cost and Implicit Cost :-

♠     Explicit cost refers to the making of
     actual payments in the process of
     production.
♠    Implicit cost means even though work is
     performed there is no corresponding
     payment. If a driver brings materials to works ,
     there is explicit cost in the form of his salary. If
     the manager brings it, there is no such cost as
     manager is not paid to drive a car.
Cost Analysis

Cost – other concepts.
C :Private and Social Cost :-

♠   When a factory is set up, there is private
    cost to the owner in the form of
    buildings, plant etc.

♠    There is also public cost caused by
     smoke, effluents, etc. ( for which there is no cost
     to the owner)
Cost Analysis

Cost – other concepts.
C :Private and Social Cost :-

♠   When a factory is set up, it generates in its
    neighborhood certain effects. These are called
    externalities of the firm.
♠   Externalities that take the form of Garden,
    School or a new bus stop are beneficial to the
    Society . These are positive externalities.
♠    When they take the form of pollution,
     congestion etc., these are negative
     externalities.
Cost Analysis

Cost – other concepts.
D : Historical Cost and Replacement Cost :-

♠   Historical cost is the original cost incurred by
    the firm while purchasing the input in the past.
♠   Replacement cost is the current cost that will
    have to be incurred by the firm to purchase the
    input acquired in the past.
♠   Financial accountants, tax authorities are
    concerned with historical cost; while
    management accountants are concerned with
    replacement ( or current ) costs.
Cost Analysis

Cost – other concepts.
E : Opportunity Cost (alternative or transfer cost) :-

♠    the opportunity cost of anything
     produced can be defined as the next
     best alternative, that can be produced
     instead, by the same factors.
♠    the cost of using something in a
     particular venture, is the benefit
     foregone (or opportunity lost) ,by not
     using it in its best alternative use.
Cost Analysis

Cost of Multiple Products.
ф   When two or more products emerge from
    processing of a single raw material, they get
    identified as separate products at the end of
    common processing called ‘ split of point’.
ф   The costs that are incurred up to the split of
    point are common costs. These cannot be
    traced to the individual product.
ф   The problem of product costing arises in
    identifying parts of common costs with
    particular products.
Cost Analysis

Cost of Multiple Products.
ф    The problem of product costing arises in identifying parts
     of common costs with particular products.

Common Products : -
Joint Products - when increase in output of one product
      causes increase in output of another product, then the
      products and their costs are termed Joint.
Alternative Products - when increase in output of one product
      is accompanied by a reduction in output of other
      products, it is a case of alternative products.
By-product – when one product is much less important that the
      other, it is regarded as by-product.
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Cost Analysis

  • 1. Cost Analysis Cost - definition. the cost of production may be defined as the aggregate of expenditure incurred by the producer in the process of production. cost is, therefore, the valuation placed on the use of resources.
  • 2. Cost Analysis Cost - concepts. Fixed Cost and Variable Cost Fixed costs are those costs that remain fixed, irrespective of changes in the output. They are incurred even if there is no output. Are incurred on buildings , equipment, etc. Are also known as supplementary costs or overheads or indirect costs.
  • 3. Cost Analysis Cost - concepts. Fixed Cost and Variable Cost Variable costs are those costs which vary with the output. They include cost of raw materials, electricity, gas, fuel etc. Are also known as Prime cost or Operating costs or direct costs.
  • 4. Cost Analysis Cost - concepts. Fixed Cost and Variable Cost Fixed costs are those costs that remain fixed, irrespective of changes in the output. Variable costs are those costs which vary with the output. The distinction is valid in the short run. In the long run all factors are variable and thus all costs are variable.
  • 5. Cost Analysis Cost - concepts. Total Cost, Average Cost and Marginal Cost Total cost TC is the aggregate (sum total) cost of producing all the units of output. Y TC Total 60 TVC Cost 50 40 30 20 TFC 10 X 1 2 3 4 Units of X 7 8 9 10 11 12
  • 6. Cost Analysis Cost - concepts. Total Cost, Average Cost and Marginal Cost Total cost TC curve is parallel to the total variable cost TVC curve, as it is the sum of total fixed cost TFC & TVC. Y TC Total 60 TVC Cost 50 40 30 20 TFC 10 X 1 2 3 4 Units of X 7 8 9 10 11 12
  • 7. Cost Analysis Cost - concepts. Total Cost, Average Cost and Marginal Cost The average cost AC is the cost per unit of output produced. TC AC = Q Where TC is total cost, AC is average cost and Q total quantity of output. Average cost is often referred to as Average Total Cost or Average Total Unit Cost.
  • 8. Cost Analysis Cost - concepts. Total Cost, Average Cost and Marginal Cost The average fixed cost AFC is the fixed cost per unit of output produced. TFC i.e. AFC = Q ► If the output goes on increasing, the AFC will go on falling as the total fixed cost is thinly spread over the number of units of output. ► The average fixed cost curve slopes downwards from left to right as you can see next.
  • 9. Cost Analysis Cost - concepts. Total Cost, Average Cost and Marginal Cost ► The average fixed cost curve slopes downwards from left to right as you can see below. 160 140 A verage Fixed C os t 120 100 80 60 40 20 0 AFC 1 2 3 4 5 6 Output
  • 10. Cost Analysis Cost - concepts. Total Cost, Average Cost and Marginal Cost The average variable cost AVC is the variable cost per unit of output. TVC i.e. AVC = Q To begin with the avc is very high, but as more and more units of output are produced , the firm starts enjoying economies and avc goes on falling. After a certain size of output, increase in output brings in disadvantages , and avc begins to rise.
  • 11. Cost Analysis Cost - concepts. Total Cost, Average Cost and Marginal Cost After a certain size of output, increase in output brings in disadvantages , and average variable cost begins to rise. AVC Curve 20 Average Variable Cost 15 10 5 0 1 2 3 4 5 6 Output
  • 12. Cost Analysis Cost - concepts. Total Cost, Average Cost and Marginal Cost The average cost AC curve is the lateral summation of the average fixed AFC and variable cost AVC curves. i.e. AC = AFC + AVC. We saw that AFC curve slopes downwards & AVC first goes downwards then bends upwards . AC curve which is summation of these two , therefore, is U shaped.
  • 13. Cost Analysis Cost - concepts. Total Cost, Average Cost and Marginal Cost We saw that AFC curve slopes downwards & AVC first goes downwards then bends upwards . AC curve which is summation of these two , therefore, is U shaped. Further, when the firm starts production AC is high. Once output increases, it reaps benefits of economies of scale and AC falls. But once optimum combination of factors of production is reached , diseconomies set in, and AC starts rising. Thus the AC curve becomes U shaped.
  • 14. Cost Analysis Cost - concepts. Total Cost, Average Cost and Marginal Cost Marginal cost is the net addition to total cost for producing an additional unit of output. i.e. MCnth = TCn - TC n-1 MC depends only on variable costs. ΔTC MC = ΔQ
  • 15. Cost Analysis Cost - concepts. Total Cost, Average Cost and Marginal Cost Relation between Average Cost and Marginal cost When AC is falling, the MC lies below it. MC cuts the AC at the lowest point of AC curve. When AC starts to rise , the MC will be above the AC.
  • 16. Cost Analysis Cost - concepts. Total Cost, Average Cost and Marginal Cost Long Run Average Cost Curve. ► In the short run producer can increase his output only up to an optimum use of fixed assets. ►In the long run the scale of operation can be further increased with additions to fixed assets to the most feasible extent. ► There will be a new short run average cost each time the scale is revised. We can thus have a series of short run AC curves in the long run.
  • 17. Cost Analysis Cost - concepts. Total Cost, Average Cost and Marginal Cost Long Run Average Cost Curve. LRACC ► There will be a new short run average cost each time the scale is revised. We can thus have a series of short run AC curves in the long run. ►The tangent to all possible short run average cost curves gives us the long run AC curve. LRACC
  • 18. Cost Analysis Cost - concepts. Total Cost, Average Cost and Marginal Cost Long Run Average Cost Curve. LRACC The tangent to all possible short run average cost curves gives us the long run AC curve. LRACC ► Under the assumption of constant factor prices and perfect divisibility of factors , the minimum points of AC lie in the same plane. Thus LRACC may become horizontal. ► That means the U shape of long run AC curve is flatter than the U shape of short run AC curves.
  • 19. Cost Analysis Cost - concepts. Total Cost, Average Cost and Marginal Cost L shaped Long Run Average Cost Curve. LRACC ◘ With continuous technological improvements and innovations the average cost gets reduced with each & every new long run AC curve.
  • 20. Cost Analysis Cost - concepts. Total Cost, Average Cost and Marginal Cost L shaped Long Run Average Cost Curve. LRACC ◘ With continuous technological improvements and innovations the average cost gets reduced with every new long run AC curve. ◘ The AC also reduces as a result of process of ‘learning’. With experience the factors of production deliver more output at the same cost.
  • 21. Cost Analysis Cost - concepts. Total Cost, Average Cost and Marginal Cost L shaped Long Run Average Cost Curve. LRACC ◘ With continuous technological improvements and innovations the average cost gets reduced with every new long run AC curve. ◘ The AC is reducing also as a result of process of ‘learning’. With experience, the factors of production deliver more output at the same cost. ◘ As a result over a period of time LRAC curve is more L shaped than U shaped.
  • 22. Cost Analysis Cost - concepts. Learning and Cost There is an element of learning involved through experience. The learning curve (also known as experience curve) phenomenon has an effect on average costs, similar to that for any technological advance that provides an improvement in productive efficiency.
  • 23. Cost Analysis Cost - concepts. Learning and Cost The fall in the average costs due to scale or technological factors and learning curve must be differentiated. Economies of scales are shown in terms of cost-output relation measured along the same LRWC curve. Learning cost relate cost differences to total cumulative output levels for a single product . These are measured in terms of shifts of average long run AC curves.
  • 24. Cost Analysis Cost - concepts. Learning and Cost LRAC Curve 20 Average Cost 15 10 5 0 1 2 3 4 5 6 Output LRACt Long Range AC curve for period T ----- LRACt+1 Long Range AC curve for period T+1 ------ As result of learning, long run AC has declined from LRACt to LRACt+1 for every level of output.
  • 25. Cost Analysis Cost – other concepts. A : Money Cost and Real Cost :- ♠ Money costs of production are the prices which have to be paid to factors of production. Expenses of production is money cost. ♠ The sacrifices of factors made during the process of production are the real costs. As such, real costs cannot be measured.
  • 26. Cost Analysis Cost – other concepts. B: Explicit Cost and Implicit Cost :- ♠ Explicit cost refers to the making of actual payments in the process of production. ♠ Implicit cost means even though work is performed there is no corresponding payment. If a driver brings materials to works , there is explicit cost in the form of his salary. If the manager brings it, there is no such cost as manager is not paid to drive a car.
  • 27. Cost Analysis Cost – other concepts. C :Private and Social Cost :- ♠ When a factory is set up, there is private cost to the owner in the form of buildings, plant etc. ♠ There is also public cost caused by smoke, effluents, etc. ( for which there is no cost to the owner)
  • 28. Cost Analysis Cost – other concepts. C :Private and Social Cost :- ♠ When a factory is set up, it generates in its neighborhood certain effects. These are called externalities of the firm. ♠ Externalities that take the form of Garden, School or a new bus stop are beneficial to the Society . These are positive externalities. ♠ When they take the form of pollution, congestion etc., these are negative externalities.
  • 29. Cost Analysis Cost – other concepts. D : Historical Cost and Replacement Cost :- ♠ Historical cost is the original cost incurred by the firm while purchasing the input in the past. ♠ Replacement cost is the current cost that will have to be incurred by the firm to purchase the input acquired in the past. ♠ Financial accountants, tax authorities are concerned with historical cost; while management accountants are concerned with replacement ( or current ) costs.
  • 30. Cost Analysis Cost – other concepts. E : Opportunity Cost (alternative or transfer cost) :- ♠ the opportunity cost of anything produced can be defined as the next best alternative, that can be produced instead, by the same factors. ♠ the cost of using something in a particular venture, is the benefit foregone (or opportunity lost) ,by not using it in its best alternative use.
  • 31. Cost Analysis Cost of Multiple Products. ф When two or more products emerge from processing of a single raw material, they get identified as separate products at the end of common processing called ‘ split of point’. ф The costs that are incurred up to the split of point are common costs. These cannot be traced to the individual product. ф The problem of product costing arises in identifying parts of common costs with particular products.
  • 32. Cost Analysis Cost of Multiple Products. ф The problem of product costing arises in identifying parts of common costs with particular products. Common Products : - Joint Products - when increase in output of one product causes increase in output of another product, then the products and their costs are termed Joint. Alternative Products - when increase in output of one product is accompanied by a reduction in output of other products, it is a case of alternative products. By-product – when one product is much less important that the other, it is regarded as by-product.
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