Answer:
Step-by-step explanation:
The first step is to graph the constraints and get the boundary points for the feasible region. To do this, I solve the first 2 equations for y and use the graphing calculator.
y=(10-2x)/4
y=(12-x)/9
I find the boundary points of the feasible region are:
(0,0)
(3,1)
(0,4/3)
(5,0)
I plug these into the P equation (I don't need to do (0,0), this will not be a max
P=3+6(1) = 9
P=0+6(4/3) = 8
P=5+6(0) = 5
The max value is P = 9
