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 letermined that the account balance is given by the following formula. B=70+10r-30e. (a) Make a graph of B versus t over the first 16 years of the plan. B 80 60 40 20 80 60 40 20 5 10 10 15 13 t t B 50 40 30 20 10 B 80 60 40 20 5 (b) At what time is the account balance at its maximum? (Round your answer to two decimal places.) 8.73 x years 10 10 15 15 t (c) What is the smallest value of the account balance over the first 16 years of the plan? (Round your answer to two decimal places.) ✔ million dollars 40.00

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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The manager of an employee health plan for a firm has studied the balance 8, 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 = 70+ 10r - 30e.
(a)
Make a graph of B versus t over the first 16 years of the plan.
B
50
40
Cr
30
20
10
t
B
80
60
40
20
B
80
60
40
20
5
5
10
10
15
15
t
B
80
60
40
20
5
5
(b) At what time is the account balance at its maximum? (Round your answer to two decimal places.)
8.73
x years
10
10
15
15
t
(c) What is the smallest value of the account balance over the first 16 years of the plan? (Round your answer to two decimal places.)
40.00
million dollars
Transcribed Image Text:The manager of an employee health plan for a firm has studied the balance 8, 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 = 70+ 10r - 30e. (a) Make a graph of B versus t over the first 16 years of the plan. B 50 40 Cr 30 20 10 t B 80 60 40 20 B 80 60 40 20 5 5 10 10 15 15 t B 80 60 40 20 5 5 (b) At what time is the account balance at its maximum? (Round your answer to two decimal places.) 8.73 x years 10 10 15 15 t (c) What is the smallest value of the account balance over the first 16 years of the plan? (Round your answer to two decimal places.) 40.00 million dollars
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