If the demand function is p=100-5q, what value of Q maximizes the total revnue

Dear student
total Revenue = price X quantity
              R(q) = (100 -5q) X q
              R(q) = 100q - 5q2 
as we know total reveue is maximum, when marginal revenue is equal to zero.
we can find the marginal revenue by total reveue .
simple, differentiate the total revenue in terms of q
R'(q) = 100 - 10 q, so its a marginal function. 
0 = 100 - 10 q
q = 10
so, 10 is the unit when total revenue is maximum.because at this point marginal revenue is zero.
Regards
 

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