Question 1146818
your objective function is:
profit = 2x + 5y


your constraint functions are:
x <= 150
y <= 120
x + y <= 200
x >= 0
y >= 0


using the desmos.com calculator, i graph the OPPOSITE of the inequalities.
the area of the graph that is NOT shaded is my region of feasibility.
the corner points of this region are where the maximum / minimum values of the objective function lie.


the calculator i used can be found at <a href = "https://www.desmos.com/calculator" target = "_blank">https://www.desmos.com/calculator</a>


here's my graph.


<img src = "http://theo.x10hosting.com/2019/101201.jpg" alt="$$$" >


the largest profit is found when x = 80 and y = 120.
that's the point (80,120).
the profit at that point is 80 * 2 + 120 * 5 = 160 + 600 = 760.
all the constraints are met since.....
x <= 150
y <= 120
x + y <= 200
x >= 0
y >= 0