by HallsofIvy » Thu Feb 06, 2020 9:57 am
Yes, something is wrong. The region where [tex]5x+ 8y\le 5[/tex], x>0, y> 0, is bounded by the x and y axes and by the line 5x+ 8y= 5. When y= 0, x= 1 so that line goes through the point (5, 0), not (8, 0) and when x= 0, y= 5/8 so that line goes through the point (0, 5/8), not (0, 5). The line that passes through (8, 0) and (0, 5) is 5x+ 8y= 40, not 5x+ 8y= 5.