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2015-09-14T03:50:38+05:30

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Price Demand curve :  p = 100 - 2 q
 Revenue =  p q  = 100 q - 2 q²

marginal revenue MR =  d (revenue)/d q  found by differentiating:
         MR = 100 - 4 q
 MR = 0 , when q = 25

Price p when quantity produced is 25, is   p = 100 - 2 * 25 = 50 units.
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we can find marginal revenue function for the q th product also by:
   MR = Revenue for q units produced - Revenue for q-1 units produced
   MR = (100 q - 2 q²) - (100 (q-1) - 2 (q - 1)²)
         = 100 - 4 q - 2
   MR = 0 for ,  q = 98/4 = 24.5  or, when q = 25
    
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