Question 1114893
using the desmos.com calcculator, graph the opposite of these inequalities.


the area of the graph that is not shaded is your region of feasibility.


your maximum value for 3x + 2y will be at one of corner points of your region of feasibility.


the graph is shown below:


<img src = "http://theo.x10hosting.com/2018/041601.jpg" alt="$$$" >


at (0,3), 3x + 2y = 3*0 + 2*3 = 6
at (2.182,1.364) 3x + 2y = 3*2.182 + 2*1.364 = 9.274
at (3,0), 3x + 2y = 3*3 + 2*0 = 9


your maximum solution is at (2.182,1.364).