Question 1147010
x = number of top loaders.
y = number of front loaders.
constraint equations are:
x + y <= 18
y <= 5
x >= 2
y >= 2
objective function is:
profit = 20x + 25y


using the desmos.com calculator, graph the opposite of these inequalities.
the area on the graph that is not shaded is your region of feasibility.
the corner points of this region are where the maximum profit will lie.


here's the graph.


<img src = "http://theo.x10hosting.com/2019/101501.jpg" alt="$$$" >


the highest pofit is when x = 13 and y = 5.
that's the point (13,5) on the graph.
the profit is 13 * 20 + 5 * 25 = 385
all the constraint are met, as shown below.
x + y <= 18
y <= 5
x >= 2
y >= 2


solution is that maximum profit is 385 dollars.