To understand the production function with two variable inputs, iso-quant curve is used.
ISO-Quants
To understand the production
function with two variable inputs, iso-quant curve is used. These curves show
the various combinations of two variable inputs resulting in the same level of
output. The shape of an Iso-quant reflects the ease with which a producer can
substitute among inputs while maintaining the same level of output. From the
graph we can understand that the iso-quant curve indicates various combinations
of capital and labour usage to produce 100 units of motor pumps. The points a,
b or any point in the curve indicates the same quantum of production. If the
production increases to 200 or 300 units definitely the input usage will also
increase therefore the new iso-quant curve for 200 units (Q1) is shifted
upwards. Various iso-quant curves presented in a graph is called as iso- quant
map.
Iso-cost: different
combination of inputs that can be purchased at a given expenditure level.
The above graph explains clearly
that the iso quant curve for 100 units of motor consists of ‘n’ number of input
combinations to produce the same quantity. For example at ‘a’ to produce 100
units of motors the firm uses OC amount of capital and OL amount of labour ie.,
more capital and less labour force. At ’b’ OC1 amount of capital and OL1 labour
force is used to produce the same that means more labour and less capital. Optimal
input combination: The points of tangency between
iso quant and iso cost curves depict
optimal input combination at different activity levels.
Expansion
path: Optimal input combinations as the
scale of production expand. From the
graph it is clear that the optimum combination is selected based on the
tangency point of iso cost (budget line) and iso- quant ie., a, b respectively.
The point ‘a’ indicates that to produce 100 units of motor the best combination
of capital and labour are OC and OM which is within the budget. Over a period
of time a firm will face various optimum levels if we connect all points we
derive expansion path of a firm.
Tags : Managerial Economics - Production Analysis
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