Question 1205168
x = number of boomer speakers.
y = number of rocker speakers.


plastic parts:
10x + 6y <= 3020
electronics:
5x + 6y <= 1848
assembly:
6x + 4y <= 1840
revenue:
8x + 11y = objective function to maximize.


using the desmos.com/calculator, you would:
graph the opposite of the inequalities.
the area that is not shaded is the region of feasibility.
the corner points of that region are where the maximum revenue lies.


the graph looks like this:


<img src = "http://theo.x10hosting.com/2023/112911.jpg">


the maximum revenue is at the point (0,308) where the revenue = 8 * 0 +  11 * 308 = 3388.
all the constraints are satisfied.
plastic parts:
10x + 6y = 10 * 0 + 6 * 308 = 1848 <= 3020
electronics:
5x + 6y = 5 * 0  + 6 * 308 = 1848 <= 1848
assembly:
6x + 4y  = 6 * 0 + 4 * 308 = 1232 <= 1840