Question 1030119
Let {{{ y }}} = number of short sleeve shirts they can buy
Let {{{ x }}} = number of long sleeve shirts they can buy
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{{{ 5y + 10x <= 165 }}}
{{{ y + x >= 25 }}}
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{{{ 5y <= -10x + 165 }}}
{{{ y <= -2x + 33 }}}
and
{{{ y >= -x + 25 }}}
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Here are the plots:
{{{ graph( 600, 400, -5, 20, -10, 50, -2x + 33, -x + 25 ) }}} 
From the plot, it looks like ( 8, 17 ) is the maximum point
so, {{{ x = 8 }}} is the maximum
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I can go down to {{{ x=0 }}}, and {{{ y }}} 
can be between {{{ y = 25 }}} and {{{ y = 33 }}}
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The solution area is between the lines to the left
of where the lines intersect.
The maximum number of long 
sleeve shirts they can buy is 8
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The minimum number of long 
sleeve shirts they can buy is 0
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Hope this helps