Question 1198987
using the desmos.com calculator you would graph the opposite of the inequalities.
the area on the graph that is not shaded is the region of feasibility.
the corner points of the region is whaere the maximum value of P will be located.
the corner points are:
(0,5)
(2,4)
(3,0)
the maximum value of P = 7x + 9y is located at (2,4) and the value of P at that point is 50.
this is what the graph looks like.
<img src = "http://theo.x10hosting.com/2022/120602.jpg">
all constraints need to be satisfied at that point.
at the point (2,4):
x+2y≤10 = 10 which is <= 10
4x+y≤12 = 12 which is <= 12
x and y are both >= 0