Question 1203367
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ANSWER (to the problem as presented): There is no minimum possible value of d.<br>
{{{y>-4x+540}}}
{{{y>2x}}}<br>
{{{graph(400,400,-20,120,-100,900,2x,-4x+540)}}}<br>
Because both inequalities are strict inequalities, any solution to the pair of inequalities lies ABOVE both constraint boundary lines.<br>
Solving the pair of equations of the constraint boundary lines, we find the point of intersection is (90,180).<br>
So we know the minimum possible value of the y coordinate is GREATER THAN 180....<br>
But there is no "minimum value greater than 180".<br>
In order for it to be possible to answer the question, the inequalities must both be "greater than or equal to" instead of "greater than":<br>
{{{y>=-4x+540}}}
{{{y>=2x}}}<br>
Then we know the minimum value of d, the y coordinate: 180<br>
ANSWER (to the corrected problem): 180<br>