Answer:
27
Explanation:
Since coeficient in front of x is larger than coeficient in front of y that means that value of function P depends more on x than on y. That means that we should look for highest posible x and see highest posible y for that x.
Highest x value is 9 and we can only pick y=0 for it
P = 27
Note that if u decrease x by 1 we can take y=1 but now our value is:
P = 8*3 + 2*1 = 26 which is just confirmation why P depends more on x than on y due to coefficient in front of x.
And or
Answer:
27
Explanation:
To find the maximum, input the vertices (0,8), (5,4) and (9,0) into the objective function (P = 3x + 2y) to determine which vertex obtains the maximum value.
NOTE: I don't understand why (5,4) was given on your graph as a vertex.
(0,8): P = 3(0) + 2(8) = 0 + 16 = 16
(5,4): P = 3(5) + 2(4) = 15 + 8 = 23
(9,0): P = 3(9) + 2(0) = 27 + 0 = 27 THIS IS THE LARGEST (MAX) P-VALUE