Answer:
-118 at (-2, 6)
Step-by-step explanation:
See the attached image of the graph! I used a piece of graph paper (and a ruler!) at first, because the graphing program I used was hard to follow in all the shading! The "feasible region" -- I'm assuming this is a linear programming problem is inside an irregular hexagon. I put big red dots on the corner points. Those points are:
(2, 2), (-2, 6), (-6, 4), (-6, -1), (-2, -4), (2, -2)
Plug these coordinates into the expression P = 3x - 25y + 38 to get a value at each of the corner points. Pick out the smallest value.
See the other attached image for those values.
Careful graphing is essential!
