A chain store manager has been told by the main office that daily profit P is related to the number of clerks working that day. x according to equation P=-25x^2+300x. What number of clerks will maximize the profit and what is the maximum possible profit?

• At maximum profit
  dP/dx = 0
  P = -25x^2 + 300x
  dP/dx = -50x + 300
  0 = -50x + 300
  x = 6
  
  Number of clerks = 6
  maximum profit = 900
  
  
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