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Output-Output Relationship



PRESENTED BY:
GROUP NO. 04
1. PUJA KUMARI             11. SANDIP DONGARE
2. RACHITA RUCHI           12. SANDIP KUMAR
3. RAJIV KR. CHOUDHARY
4. RAKESH RANJAN
5. RAMMANOHAR JAT
6. RASHMI KUMARI
7. RAVI CHAITANYA VUBA
8. ROBIN SINGH PANKHOLI
9. SACHIN TALWAR NAGAPPA
10.SANDEEP RAKHOLIA
Output-Output Relationship/ Product-Product
                     Relationship


 Product-Product relationship deals with resource allocation
    among competing enterprises.
    Inputs are kept constant while products (outputs) are varied.
    Guides the producer in deciding ‘What to produce’
    Explained by the principle of product substitution and law
      of equi marginal returns.
    This relationship is concerned with the determination of
    optimum combination of products (enterprises).
    The choice indicators are substitution ratio and price ratio.
    Profit maximization.
   Algebraically it is expressed as
                        Y1=f (Y2 Y3, ……. Yn)
 The substitution between products or outputs takes place in
  two ways:
 According to the principle of equi marginal Return where
  each enterprise is independent i.e. the two products are not
  inter related.
   Input         products
    x             y1,y2,y3(Different Enterprises)
 According to the principle of product product relationship
  where the different products are interdependent or inter
  related
  Input       products
    x            y1,y2 (inter-dependent products)
Types of Product-Product Relationships.


1.       Joint Products:

 These are produced through
  single production process.
 The level of production of one
  decides the level of production
  of another.
 All farm commodities are
  mostly joint products.
    Ex: Wheat and Straw, paddy
  and straw, groundnut and hulms     Graphically the quantities of Y1 and
  cotton seed and lint, cattle and   Y2 that can be produced at different
  manure, butter and buttermilk,     levels of resources will be shown as
                                     points AB in the figure.
  beef and hides, mutton and
  wool etc.
2. Complementary Enterprises:


 Complementary relationship between two enterprises exists when
  with a change in the level of production of one, the other also
  changes in the same direction.
 Increase in output of one product, with resources held constant,
  there is an increase in the output of the other product.
 The two enterprises do not compete for resources but contribute
  to the mutual production by providing an element of production
  required by each other.
 The marginal rate of product substitution is positive ( > 0).
   Ex: Cereals and pulses, crops and livestock
Graphical Representation




As shown in the figure, range of complementarities is from point A to point B
when production of Y1 expands beyond zero level. On the other end of the curve,
the
products again are complementary as production of Y2 expands beyond zero. This
means Y1 must be produced up to B and Y2 up to point C , up to these points
increase in one product increases the production of other.
All complementary relationships should be taken advantage by producing both
products up to the point where the products become competitive.
3. Supplementary Enterprises:



 Supplementary exists between enterprises when increase or
  decrease in the output of one product does not affect the
  production level of the other product.
 They do not compete for resources but make use of resources
  when they are not being utilized by one enterprise.
 The marginal rate of product substitution is zero.
 For example, small poultry or dairy or piggery enterprise
 All supplementary relationships should be taken advantage by
  producing both products up to the point where the products
  become competitive.
4. Competitive Enterprises:

 This relationship exists when
  increase or decrease in the
  production of one product affect the
  production of other product
  inversely. That is when increase in
  output of one product , with
  resources held constant, results in
  the decrease of output of other
  product.
 Competitive enterprises compete for
  the same resources. Two enterprises
  are competitive in the use of given
  resources if output of one can be
  increased only through sacrifice in
  the production of another.
 The marginal rate of product
  substitution is negative (<0)
Marginal Rate of Product Substitution

    Marginal rate of the product substitution refers to the absolute change in
   one product associated with a change of one unit in competing product.
   Types of Product Substitution
    When two products are competitive, they substitute either at constant
   rate, or increasing rate or at decreasing rate.
1. Constant rate of Substitution:
      With each one unit increase or gain in one product, a constant quantity of
      another product must be decreased or sacrificed .
     PPC is linear negatively sloped.
     Constant rate of substitution occurs when
    a) One of the production function has an elasticity greater than one (increasing
   returns), the other has an elasticity of less than one (decreasing returns)
    b) Both the production functions have stages of increasing and decreasing
   returns.
    e.g. gram and wheat substitute for land at constant rate.
Increasing rate of product substitution:

 The increase in the level of one
    product decreases the level of other
    product substantially.
    PPC is concave to the origin.
    Increasing rate of the product
    substitution is common in agricultural
    production.
   The general pattern of production is
    diversification   i.e.,  profits   are
    maximized by producing both the
    products.
   e.g. substitution between labor and
    capital ,Rice and maize
Decreasing rate of Product Substitution:


 Each unit increase in the output of
  one product is accompanied lesser
  and lesser decrease in the production
  of another product.
 This type of product substitution
  holds good under conditions of
  increasing returns.
 Production Possibility Curve is
  convex to the origin when products
  substitute at decreasing rate.
 e.g. substitution between dairy and
  crop in short duration.
Iso-Revenue Line

  It represents all possible combination of two products which would
  yield an equal (same) revenue or income.
    Characteristics:
 Isorevenue line is a straight line because product prices do not
  change with quantity sold.
 As the total revenue increases, the Iso revenue line moves away
  from the origin since the total revenue determines the distance of it
  from the origin.
 The slope indicates ratio of product (output) prices.
 As long as product prices remaining constant, the Iso revenue line
  showing different total revenues are parallel But change in either
  price will change the slope.
Determination of optimum calculation of products:
                1.Algebraic Method:

 There are three steps to determine the optimum product combination through
   algebraic method.
a) Compute Marginal Rate of Product Substitution
MRPS =Number of units of replaced products/Number of units of added product
      MRPSY1Y2 = ? Y2/? Y1             MRPSY2Y1 = ? Y1/? Y2
b) Workout price ratio (PR)
      Price Ratio (PR) = Price per unit of added product/Price per unit of replaced
   product
       PR= P y1/Py2 if it is MRSY1Y2          Py2/ Py1 if it is MRSY2Y1
 c) Optimum combination of enterprises is at where MRS=PR
        Number of units replaced product =Price per unit of added product
        Number of units of added product Price per unit of replaced product

        Or, Y2/Y1= Py1/Py2     Or     Y1/Y2 = Py2/ Py1
2. Graphic Method:

 Draw production possibility curve and
  Isorevenue line on one graph.
 Slope of production possibility curve
  indicates MRPS and the slope of Iso
  revenue line indicates price ratio of
  products.
 The point of optimum combination of
  products is at where the Iso revenue line
  is tangent to the production possibility
  curve.
 At this point, slope of the Iso revenue
  line and the slope of the production
  possibility curve will be the same.
3. Tabular Method

 Compute total revenue for each possible output combination
  and then select that combination of outputs which yields
  maximum total revenue.
 This method is useful only when we have few combinations
 3 units of Y1 and 7 units of Y2 yield maximum revenue.
Thank You

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Group no 4 fpm assignment (1)

  • 1. Output-Output Relationship PRESENTED BY: GROUP NO. 04 1. PUJA KUMARI 11. SANDIP DONGARE 2. RACHITA RUCHI 12. SANDIP KUMAR 3. RAJIV KR. CHOUDHARY 4. RAKESH RANJAN 5. RAMMANOHAR JAT 6. RASHMI KUMARI 7. RAVI CHAITANYA VUBA 8. ROBIN SINGH PANKHOLI 9. SACHIN TALWAR NAGAPPA 10.SANDEEP RAKHOLIA
  • 2. Output-Output Relationship/ Product-Product Relationship  Product-Product relationship deals with resource allocation among competing enterprises.  Inputs are kept constant while products (outputs) are varied.  Guides the producer in deciding ‘What to produce’  Explained by the principle of product substitution and law of equi marginal returns.  This relationship is concerned with the determination of optimum combination of products (enterprises).  The choice indicators are substitution ratio and price ratio.  Profit maximization.  Algebraically it is expressed as Y1=f (Y2 Y3, ……. Yn)
  • 3.  The substitution between products or outputs takes place in two ways:  According to the principle of equi marginal Return where each enterprise is independent i.e. the two products are not inter related. Input products x y1,y2,y3(Different Enterprises)  According to the principle of product product relationship where the different products are interdependent or inter related Input products x y1,y2 (inter-dependent products)
  • 4. Types of Product-Product Relationships. 1. Joint Products:  These are produced through single production process.  The level of production of one decides the level of production of another.  All farm commodities are mostly joint products. Ex: Wheat and Straw, paddy and straw, groundnut and hulms Graphically the quantities of Y1 and cotton seed and lint, cattle and Y2 that can be produced at different manure, butter and buttermilk, levels of resources will be shown as points AB in the figure. beef and hides, mutton and wool etc.
  • 5. 2. Complementary Enterprises:  Complementary relationship between two enterprises exists when with a change in the level of production of one, the other also changes in the same direction.  Increase in output of one product, with resources held constant, there is an increase in the output of the other product.  The two enterprises do not compete for resources but contribute to the mutual production by providing an element of production required by each other.  The marginal rate of product substitution is positive ( > 0). Ex: Cereals and pulses, crops and livestock
  • 6. Graphical Representation As shown in the figure, range of complementarities is from point A to point B when production of Y1 expands beyond zero level. On the other end of the curve, the products again are complementary as production of Y2 expands beyond zero. This means Y1 must be produced up to B and Y2 up to point C , up to these points increase in one product increases the production of other. All complementary relationships should be taken advantage by producing both products up to the point where the products become competitive.
  • 7. 3. Supplementary Enterprises:  Supplementary exists between enterprises when increase or decrease in the output of one product does not affect the production level of the other product.  They do not compete for resources but make use of resources when they are not being utilized by one enterprise.  The marginal rate of product substitution is zero.  For example, small poultry or dairy or piggery enterprise  All supplementary relationships should be taken advantage by producing both products up to the point where the products become competitive.
  • 8. 4. Competitive Enterprises:  This relationship exists when increase or decrease in the production of one product affect the production of other product inversely. That is when increase in output of one product , with resources held constant, results in the decrease of output of other product.  Competitive enterprises compete for the same resources. Two enterprises are competitive in the use of given resources if output of one can be increased only through sacrifice in the production of another.  The marginal rate of product substitution is negative (<0)
  • 9. Marginal Rate of Product Substitution Marginal rate of the product substitution refers to the absolute change in one product associated with a change of one unit in competing product. Types of Product Substitution When two products are competitive, they substitute either at constant rate, or increasing rate or at decreasing rate. 1. Constant rate of Substitution:  With each one unit increase or gain in one product, a constant quantity of another product must be decreased or sacrificed .  PPC is linear negatively sloped.  Constant rate of substitution occurs when a) One of the production function has an elasticity greater than one (increasing returns), the other has an elasticity of less than one (decreasing returns) b) Both the production functions have stages of increasing and decreasing returns. e.g. gram and wheat substitute for land at constant rate.
  • 10. Increasing rate of product substitution:  The increase in the level of one product decreases the level of other product substantially.  PPC is concave to the origin.  Increasing rate of the product substitution is common in agricultural production.  The general pattern of production is diversification i.e., profits are maximized by producing both the products.  e.g. substitution between labor and capital ,Rice and maize
  • 11. Decreasing rate of Product Substitution:  Each unit increase in the output of one product is accompanied lesser and lesser decrease in the production of another product.  This type of product substitution holds good under conditions of increasing returns.  Production Possibility Curve is convex to the origin when products substitute at decreasing rate.  e.g. substitution between dairy and crop in short duration.
  • 12. Iso-Revenue Line It represents all possible combination of two products which would yield an equal (same) revenue or income. Characteristics:  Isorevenue line is a straight line because product prices do not change with quantity sold.  As the total revenue increases, the Iso revenue line moves away from the origin since the total revenue determines the distance of it from the origin.  The slope indicates ratio of product (output) prices.  As long as product prices remaining constant, the Iso revenue line showing different total revenues are parallel But change in either price will change the slope.
  • 13. Determination of optimum calculation of products: 1.Algebraic Method: There are three steps to determine the optimum product combination through algebraic method. a) Compute Marginal Rate of Product Substitution MRPS =Number of units of replaced products/Number of units of added product MRPSY1Y2 = ? Y2/? Y1 MRPSY2Y1 = ? Y1/? Y2 b) Workout price ratio (PR) Price Ratio (PR) = Price per unit of added product/Price per unit of replaced product PR= P y1/Py2 if it is MRSY1Y2 Py2/ Py1 if it is MRSY2Y1 c) Optimum combination of enterprises is at where MRS=PR Number of units replaced product =Price per unit of added product Number of units of added product Price per unit of replaced product Or, Y2/Y1= Py1/Py2 Or Y1/Y2 = Py2/ Py1
  • 14. 2. Graphic Method:  Draw production possibility curve and Isorevenue line on one graph.  Slope of production possibility curve indicates MRPS and the slope of Iso revenue line indicates price ratio of products.  The point of optimum combination of products is at where the Iso revenue line is tangent to the production possibility curve.  At this point, slope of the Iso revenue line and the slope of the production possibility curve will be the same.
  • 15. 3. Tabular Method  Compute total revenue for each possible output combination and then select that combination of outputs which yields maximum total revenue.  This method is useful only when we have few combinations  3 units of Y1 and 7 units of Y2 yield maximum revenue.