Date post: | 29-Nov-2014 |
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PRODUCTION CONCEPT
PRODUCTION DIRECTLY OR INDIRECTLY SATISFIES THE NEEDS AND WANTS OF PEOPLE.
IT IS CONCERNED WITH THE SUPPLY SIDE OF THE MARKET.
IT IS THE TRANSFORMATION OF INPUTS INTO OUTPUT OF A COMMODITY OR SEVERAL COMMODITIES IN A SPECIFIC PERIOD OF TIME AT THE GIVEN STATE OF TECHNOLOGY.
IT IMPLIES CREATIONS OR ADDITION OF FORM, PLACE & TIME UTILITIES BY THE PRODUCTION AND STORAGE, DISTRIBUTION OF DIFFERENT USUABLE COMMODITIES AND SERVICES.
FACTORS OF PRODUCTION :
(i) LAND
(ii) LABOUR
(iii) CAPITAL
(iv) ENTERPRENEURS
PRODUCTION FUNCTION
Q = f (K, L, l, O)
Q = OUTPUT, K = CAPITAL
L = LABOUR, l = LAND
O = ORGANISATION
PRODUCTION FUNCTION
DIFFERENT COMBIMATIN OF INPUTS & OUTPUTS.
IT SHOWS FOR A GIVEN TECHNOLOGICAL KNOWLEDGE & MANAGERIAL ABILITY.
MAXIMUM AMOUNT OF GOODS THAT CAN BE OBTAINED FROM DIFFERENT CONDITION OF PRODUCTIVE FACTORS.
MINIMUM QUANTITIES OF VARIOUS INPUTS REQUIRED TO YIELD A GIVEN QUANTITY OF OUTPUT.
THE CHOICE OF PARTICULAR PRODUCTION METHOD DEPENDS ON
* RATIONALITY
* TECHNICALLY COEFFICIENT.
Q = F (K,L)
OUTPUT
LABOUR & CAPITAL
PRODUCTION FUNCTION
TYPES OF PRODUCTION FUNCTION :
(I) FIXED PROPORTION & VARIABLE PROPORTION.
(II) LINEAR & NON LINEAR PRODUCTIN FUNCTION.
Q = αK + βL α = CONTRIBUTION OF CAPITAL
TO OUTPUT.
β = CONTRIBUTION OF LABOUR
TO OUTPUT.
LINEAR HOMOGENOUS PRODUCTION FUNCTION
Q = f (K, L)
nQ = f (nK, nL)
(III) COBB - DOUGLAS PRODUCTION FUNCTION.
Q = AL K (O < α) (β < 1)
Q = OUTPUT L >O, K >O
A = EFFICIENCY PARAMETER.
THE MORE EFFICIENT FIRM WILL HAVE A
LARGER VALUE OF A.
α, β ARE PARTIAL ELASTICIES OF OUTPUT WITH
RESPECT TO LABOUR AND CAPITAL.
ISO QUANTS / ISO PRODUCT CURVE / EQUAL PRODUCT CURVE
IT REPRESENTS ALL POSSIBLE INPUT
COMBINATION OF TWO FACTORS WHICH ARE CAPABLE OF PRODUCING SAME LEVEL OF OUTPUT.
PRODUCER WOULD BE INDIFFERENT BETWEEN SUCH COMBINATIONS, SO IT IS OFTEN REFERRED TO AS PRODUCER’S INDIFFERENCE CURVE OR PRODUCTION INDIFFERENCE CURVE.
AN ISO QUANTS REPRESENTS DIFFERENT TECHNIQUES OF PRODUCTION.
CAPITAL INTENSIVE. LABOUR INTENSIVE.
EACH HIGHER ISO QUANTS REPRESENTS HIGHER LEVEL OF OUTPUT.
IQ IQ1 IQ1
CAPITAL
300
200
100
LABOUR
MARGINAL RATE OF TECHNICAL SUBSTITUTION (MRTS)
MRTS INDICATES THE RATE AT WHICH FACTORS
CAN BE SUBSTITUTED AT THE MARGIN IN SUCH
A MANNER THAT THE TOTAL OUTPUT REMAINS
SAME.
MARGINAL RATE OF TECHNICAL SUBSTITUTION
OF LABOUR FOR CAPITAL IS THE QUANTITY OF
CAPITAL CAN BE GIVEN UP IN EXCHANGE FOR
AN ADDITIONAL UNIT OF LABOUR.
MRTS = ΔK = SLOPE ΔL
TOTAL OUTPUT
LOSS OF OUTPUT = GAIN IN OUTPUT.
i.e. REDUCTION IN K* = INCREMENT IN L* MARGINAL PHYSICAL MARGINAL PHYSICALPRODUCT OF K PRODUCT OF L
ΔK X MPK = ΔL X MPL
ΔK = MPLΔL MPK
MPL
MRTS L,K = MPK
MRTS OF FACTOR L FOR FACTOR K IS THE RATIO OF
MARGINAL PRODUCTIVES OF TWO FACTORS.
SLOPE OF ISO QUANT
Q = f (K, L) = k. Q = OUTPUT
k = CONSTANT
SLOPE OF A CURVE = SLOPE OF TANGENT
AT ANY POINT AT THAT POINT
TAKING TOTAL DERIVATIVE.
Q Q
dQ = K . dK + L . dL
= MPK. dK + MPL. dL
SINCE THE TOTAL OUTPUT REMAINS THE SAME ALONG AN ISO QUANT
dQ = MPK. dK + MPL. Dl = O
dK MPL
dL MPK
MPL
MRTS L, K = MPK
SLOPE AND HENCE THE MRTS IS THE MEASURE OF
THE RELATIVE MARGINAL PRODUCT OF THE
FACTORS.
PROTERTIES OF ISO QUANTS
* ISO QUANTS SLOPE DOWNWARD FROM
LEFT TO RIGHT. –When quantity of one factor Increases, the quantity of other factor reduces, so that total product remains const.
* ISO QUANTS NEVER CUTS, TOUCH OR
INTERSECT EACH OTHER.
* ISO QUANTS ARE CONVEX TO THE ORIGIN-because of diminishing rate of technical substitution.