S) Suppose that a company decides to raise capital by selling stock. Over the next 15 years the average monthly price of the stock fluctuates according to the rule S(t) = 0.08t15 - 1.32t + 92.60 where S(t) is in dollars per share and i is the number of months since the stock was first offered for sale (this means that S(t) is only valid on the interval [0, 180]). Determine the maximum and minimum prices of the stock (in dollars and cents) and when these prices occurred