Question 1162582
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The constraint boundary lines are<br>
{{{y = -x+9}}}
{{{y = -2x+2}}}<br>
A graph; the feasibility region is below the red line and above the green....<br>
{{{graph(400,400,-2,10,-2,10,-x+9,-2x+2)}}}<br>
The objective function is not very realistic; it is obvious that P = y-x will have its minimum value where y is smallest and x is largest -- at (9,0).<br>
But to practice the standard method for solving this kind of problem, you can evaluate the objective function at all four corner points -- (1,0), (9,0), (0,2), and (0,9).<br>