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 hasdetermined 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.B5040Cr302010tB80604020B806040205510101515tB8060402055(b) At what time is the account balance at its maximum? (Round your answer to two decimal places.)8.73x years10101515t(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.)40.00million dollars

Remark: We will set the first derivative of the function to zero and solve for t to get the critical…

Answered: The manager of an employee health plan…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The graph represents the sales S (in millions of dollars) for Fossil from 2007 through 2013, where t represents the year, with t = 7 corresponding to 2007. Estimate the slopes of the graph for the years 2011 and 2012.+ Sales (in millions of dollars) S 3500 3000 2500 2000 1500 1000 500 7 Fossil 8 9 10 11 12 13 Year (7→2007)
The percent p of prescription filled with generic drugs at a large pharmacy chain from 2008 to 2014 can be approximated by the model where t represents the year,t=8 corresponding to 2008. Use this model to find the percent of prescriptions filled with generic drugs from 2008 through 2014.
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can you help me figure this out
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The graph below shows a company's estimated profits (in dollars) for different advertising expenses (in tens of thousands of dollars). The company's actual profit was $988,608.55 for an advertising expense of $290,000. P 1 100 000 900 000 700 000 500 000 300 000 100 000 - 100 000 (29, 988608.55) 5 10 15 20 25 30 35 (b) The company's model is X i (a) From the graph, it appears that the company could have obtained the same profit for a lesser advertising expense. Use the graph to estimate this expense (in dollars). An advertising expense of $ when x = 0 also appears to yield a profit of about $988,608.55. P = 140.75x³ + 5348.3x2 - 76,560, 0 ≤ x ≤ 35 where P is the profit (in dollars) and x is the advertising expense (in tens of thousands of dollars). Explain how you could verify the lesser expense from part (a) algebraically. To verify, evaluate P(x) at x =
The graph represents the sales S (in millions of dollars) for Fossil from 2007 through 2013, where t represents the year, with t = 7 corresponding to 2007. Estimate the slopes of the graph for the years 2011 and 2012.

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