Find the values of x and y that maximize the objective function p=3x+2y for the graph. what is the maximum value? show all work.

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.