Suppose that a company decides to raise capital by selling s

Suppose that a company decides to raise capital by selling stock. Over the next 25 years the average monthly price of the stock fluctuates according to the rule S(t)=0.30t^1.25-1.50t+88.60 where S(t) is in dollars per share and t is the number of months since the stock was first offered for sales (this means that S(t) is only valid on the interval [0,300]. Determine the maximum and minimum prices of the stock and when these prices occured.