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Fire

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Submitted By Carispera
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\title{IE 342 Recitation 1 }
%\author{}
\date{October 2013}

\begin{document}

\maketitle
\section{LP}
\section{}
\subsection{Question 1}
A company buys a spare part with rate of 1 unit from a supplier per year. The supplier decided to not produce the product. But, it offers the company to order last time. The company uses these spare parts to assemble machines and machines are replaced in 3 years and the total demand of the spare part is Poisson distributed with mean 3 units. If company still has spare parts at the end of the life cycle, products can be sold at $8 as salvage value.

Solution:

c_{u} = 25-12 = 13 \\ c_{o} = 12-8 = 4 \\
CR = \frac{c_{u}}{c_{u}+c_{0}} \\
P_{x}= \frac{\lamda3^x.epsilon^-lamda}{x!}\\

\begin{table}[htbp] \centering \caption{emrenin tablosu} \begin{tabular}{ccccccc} X & P(x) & F(x) \\ \hline 0 & 0.050 & 0.050 \\ 1 & 0,149 & 0,199 \\ 2 & 0,224 & 0,423 \\ 3 & 0,224 & 0,647 \\ 4 & 0,168 & 0,815 \\ 5 & 0,101 & 0,916 \\ 6 & 0,050 & 0,966 \\ 7 & 0,022 & 0,988 \\ 8 & 0,008 & 0,996 \\ 9 & 0,003 & 0,999 \\ 10 & 0,001 & 1,00 \\ \hline \end{tabular}% \label{t1}
\end{table}%
\newline Q^* = 4 \\

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