<PRE><B>Question 1158274</B>
&lt;br&gt;
The maximum number of $3000 systems will be if most of the other systems are the $800 systems.&lt;br&gt;
If all 50 were the $800 systems, the total inventory would be $40,000; that is $71,000 less than the actual total.&lt;br&gt;
Replacing one $800 system with a $3000 system increases the total value by $2200.&lt;br&gt;
The number of times that can be done to make the additional $71,000 is 71000/2200 = 32.27&lt;br&gt;
Of course the answer has to be in whole numbers....&lt;br&gt;
ANSWER: The maximum possible number of $3000 systems is 32.&lt;br&gt;
CHECK: 32(3000)+18(800) = 110400&lt;br&gt;
Since the actual total inventory is $111,000, there is/are some systems that are a bit more expensive than $800.&lt;br&gt;
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