##lim_(DeltaQ rarr 0) (DeltaTR)/(DeltaQ) = (d(TR))/(dQ)##
Note in practice quantity increments in discrete numbers so:
##(DeltaTR)/(DeltaQ)## maybe more practical
In real life here is what you may see:
The total revenue (TR) received from the sale of Q goods at price P is given by ##TR = P*Q##. Now the Marginal Revenue (MR) can be defined as the additional revenue added by an additional unit of output. In other words marginal revenue is the extra revenue that an additional unit of product will bring a firm. It can also be described as the change in total revenue divided by the change in number of units sold. It is possible to write MR as a derivative, in fact more formally, marginal revenue is equal to the change in total revenue over the change in quantity: ##MR = (DeltaTR)/(DeltaQ)## when the change in quantity is increment in discrete units (say one). Obviously in the limit we can write:
##lim_(DeltaQ rarr 0) (DeltaTR)/(DeltaQ) = (d(TR))/(dQ)##
Marginal revenue is the derivative of total revenue with respect to demand.
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