By graphing the system of constraints, find the values of x and y that maximize the objective function.

2 less than or equal to x less than or equal to 6
1 less than or equal to y less than or equal to 5
x plus y less than or equal to 8

maximum for P = 3x + 2y

so, did you graph the lines?

Evaluate 3x+2y at each vertex.
Pick the maximum value

where do you get stuck?

ever think of typing
2 <= x <= x
instead of all those words?