The manager of an employee health plan for a firm has studied the balance B, in millions of dollars, in the plan account as a function of t, the number of years since the plan was instituted. He has determined that the account balance is given by the following formula.

(a) Make a graph of B versus t over the first 14 years of the plan.

(b) At what time is the account balance at its maximum? (Round your answer to two decimal places.)
years

(c) What is the smallest value of the account balance over the first 14 years of the plan? (Round your answer to two decimal places.) million dollars

B = 80 +9t - 30e0.1t (a) Make a graph of B versus t over the first 14 years of the plan. B O 80 60 40 20 B 80 60 40 20 2 2 4 4 6 10 6 8 00 8 10 12 14 10 12 14 t B 40 30 20 10 B 80 60 40 20 2 2 4 4 6 8 t 10 12 14 6 8 10 12 14 t