Slope of need Function and Elasticity of need: distinctionsadmin
The future conversation will upgrade you concerning the distinction between slope of need function and elasticity of need.
By slope regarding the need function we mean improvement in cost split because of the improvement in volume. Let P = f (Q) end up being the demand function that is inverse. Therefore, the slope associated with the need function
= absolute improvement in price/absolute improvement in amount = в€†P/в€†Q
Once again, slope means the steepness associated with the need bend. In reality, slope associated with the need function steps the steepness or flatness regarding the function.
Having said that, elasticity of demand steps the change that is relative cost and amount. Hence
Elasticity of need could be the reciprocal for the slope regarding the need function, increased by the price-quantity ratio, i.e.,
Hence, the slope and elasticity of demand are associated but they are maybe not the thing that is same. By just learning the slope of this demand function, one cannot determine the value of elasticity of need, though it is known that steeper (latter) the need curve reduced (greater) could be the elasticity of need.
This is certainly a wrong conception. In reality, there is absolutely no connection between your slope additionally the elasticity of demand. It would likely take place that the 2 need curves might have different slopes however the exact same elasticity or the 2 need curves could have exact same slopes but various elasticities.
In Fig. 2.54, we now have drawn two demand curves called DA and DB. Both of these demand curves have the intercept that is same the purchase price axis, however they display various slopes. In reality, the bend DA is steeper than DB. So elasticity of need at any point in the DA bend ought to be lower than compared to the need bend DB. But this isn’t therefore. This is often confirmed within the following way.
Give consideration to two points E and F from the two need curves obtaining the same cost OP. Elasticity of need at point E regarding the bend DA is
Likewise, elasticity of need at point F regarding the need bend DB is
Therefore, elasticity at point E = elasticity at point F. This implies that though slope varies, elasticity is the same when it comes to two need curves at each and every cost.
Fig. 2.55 implies that the 2 need curves might have the exact same slopes but various elasticities. Being parallel, two need curves AB and CD have the slopes that are same. Now give consideration to points E regarding the need bend AB and F in the bend CD. Now think about cost OP. Then elasticity of need at point E regarding the need bend AB is
Once more, elasticity of demand at F in the bend CD is
It really is clear through the figure that since PC >PA
Therefore, elasticity at point F regarding the bend CD is significantly less than the elasticity at point E in the bend AB. Instead, in Fig. 2.48, point E are thought whilst the mid-point regarding the bend AB corresponding to your cost OP. Therefore, at that true point, elasticity of need is equivalent to one. But F regarding the need bend CD in the cost OP lies below its mid-point. Therefore, elasticity at F should be significantly less than one.
Therefore, slope and elasticity of need are not the same task.
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