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	<entry>
		<id>https://en.formulasearchengine.com/w/index.php?title=Fundamental_theorem_of_linear_programming&amp;diff=25142</id>
		<title>Fundamental theorem of linear programming</title>
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		<summary type="html">&lt;p&gt;98.223.70.143: /* Proof */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{unreferenced|date=January 2010}}&lt;br /&gt;
&lt;br /&gt;
The &#039;&#039;&#039;annualized loss expectancy&#039;&#039;&#039; (ALE) is the product of the [[annual rate of occurrence]] (ARO) and the [[single loss expectancy]] (SLE).  It is mathematically expressed as:&lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt; {ALE} = {ARO} \times {SLE}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Suppose than an asset is valued at $100,000, and the [[Exposure Factor]] (EF) for this asset is 25%. The [[single loss expectancy]] (SLE) then, is 25% * $100,000, or $25,000.&lt;br /&gt;
&lt;br /&gt;
The annualized loss expectancy is the product of the [[annual rate of occurrence]] (ARO) and the [[single loss expectancy]].&lt;br /&gt;
ALE = ARO * SLE&lt;br /&gt;
&lt;br /&gt;
For an annual rate of occurrence of one, the annualized loss expectancy is 1 * $25,000, or $25,000.&lt;br /&gt;
&lt;br /&gt;
For an ARO of three, the equation is:&lt;br /&gt;
ALE = 3 * $25,000&lt;br /&gt;
&lt;br /&gt;
Therefore:&lt;br /&gt;
ALE = $75,000&lt;br /&gt;
&lt;br /&gt;
==See also==&lt;br /&gt;
* [[Single loss expectancy]]&lt;br /&gt;
&lt;br /&gt;
[[Category:Financial risk]]&lt;/div&gt;</summary>
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