Hello, AdorableCrocodile8099!
Once you graph the inequalities, you get the polygon of constraints, which is the common region determined by the intersection of the solution sets.
Let's use the following example.
Your next step is to
determine the coordinates of the vertices of the polygon of constraints. To find them, take the equations of the 2 boundary lines and solve the system of equations.
You then need to
find the optimal vertex by replacing
x and
y in the function to be optimized with the coordinates of each point found in the previous step.
The goal is to maximize the revenue. Since vertex
C yields the maximum revenue, its coordinates optimize the situation.
Finally, you give a full answer.
https://www.alloprof.qc.ca/en/students/vl/mathematics/solving-optimization-m1092Do not hesitate to ask more questions!
