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{\Large TEST 5

Math 1090 - 2}
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You have 50 minutes to complete the test.
Show all relevant work (or else no credit).  
Make your work legible, if I can't read it, I can't grade it.  
Each problem is worth 10 points.
Use the back of the pages if necessary.
Use correct English sentences where necessary for full credit!
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Name \rule{5in}{.2pt}

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\begin{enumerate}

\item  You are making bumper stickers again.
You have fixed costs of $\$10$.
If $x$ is the number of stickers you make,
your cost per sticker is $2-\frac{1}{10}x$.
Your selling price per sticker is $5-\frac{1}{5}x$
\begin{enumerate}
\item  What is the cost function? $C(x)=$
\item  What is the revenue function? $R(x)=$
\item  What is the profit function? $P(x)=$
\item  What is the break even point(s). (Answer in a sentence!)
\item  (Extra credit-1 point)  What is maximum or minimum profit?
\end{enumerate}

\item  Your bumper sticker business lasts a while and you model the number of 
employees you have by the equation
\[
N=-.23t^2+4.89t+52.12
\]
where $t$ is the number of years past $1998$ and $N$ is the number of employees.
Do you have a maximum or minimum number of employees.
When does this happen, and how many employees? (A good sentence!!!)

Extra credit-1 point:  When does your business die how do you know it dies then?

\item  Solve the equation using factoring and methods learned in class.
(Hint: $-\frac{5}{2}$ is a solution.)
\[
4x^4+20x^3+15x^2-29x-10
\]








\end{enumerate}

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