Question 1205774
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Obviously we can't answer the question as posed, since you don't show the graphs.  But we can help you see what the graph should look like.<br>
The constraints are the the total number of bags is "no more than" 20 and the total cost is "no more than" $140, so both constraint boundary lines are solid.<br>
The constraints are
{{{x+y<=20}}} --> {{{y<=20-x}}}
and
{{{5x+14y<=140}}} --> {{{y<=10-(5/14)x}}}.<br>
A graph of the constraint boundary lines:<br>
{{{graph(400,400,-5,20,-5,20,20-x,10-(5/14)x)}}}<br>
Since both constraints are "no more than", which is the same as "less than or equal to", the solution region is on or below both constraint lines -- and obviously only where x and y are both non-negative.<br>
To answer the two specific questions, you can eyeball the graph to see if those combinations are in the feasibility region; but it's much easier (and more accurate) to test the combinations against the constraints.<br>
13 bags of fertilizer and 7 bags of peat moss: the number of bags is no more than 20; but the cost is 13($5)+7($14) = $65+$98 which is more than $140.
ANSWER: NO<br>
14 bags of fertilizer and 4 bags of peat moss:  the number of bags is less than 20, and the cost is 14($4)+4($14) = $56+$56 which is less than $140.
ANSWER: YES<br>