Health plan: The managers of an employee health plan for a firm have 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...

Health plan: The managers of an employee health plan for a firm have 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. They have determined that the rate of change dB /dt in the account balance is given by the formula dn versus n. b. For what values of n is the profit P decreasing?

a. Use your calculator to make a graph of dB /dt versus t over the first 5 years of the plan.

b. During what period is the account balance B decreasing?

c. At what time is the account balance B at its minimum?