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. B = 60 + 9t-50e0.1t (a) Make a graph of B versus t over the first 9 years of the plan. B 12 10 8 6 2 B 20 2 5 4 15 r 10 4 6 2 6 8 t 8 B 20 15 10 in B 20 15 10 5 2 2 4 (b) At what time is the account balance at its maximum? (Round your answer to two decimal places.) years 8 8 t t (c) What is the smallest value of the account balance over the first 9 years of the plan? (Round your answer to two decimal places.) million dollars
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. B = 60 + 9t-50e0.1t (a) Make a graph of B versus t over the first 9 years of the plan. B 12 10 8 6 2 B 20 2 5 4 15 r 10 4 6 2 6 8 t 8 B 20 15 10 in B 20 15 10 5 2 2 4 (b) At what time is the account balance at its maximum? (Round your answer to two decimal places.) years 8 8 t t (c) What is the smallest value of the account balance over the first 9 years of the plan? (Round your answer to two decimal places.) million dollars
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Transcribed Image Text: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.
B = 60 + 9t-50e0.10
(a) Make a graph of B versus t over the first 9 years of the plan.
B
12
10
8
6
4
B
20
10
2
5
4
2
6
15
r
4
8
6
8
B
20
15
10
5
B
20
15
10
2
2
(b) At what time is the account balance at its maximum? (Round your answer to two decimal places.)
years
10
6
8
t
(c) What is the smallest value of the account balance over the first 9 years of the plan? (Round your answer to two decimal places.)
million dollars
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