Final answer:
To determine the maximum value of the expression 5x-2y, we need to use the feasible region and evaluate the expression at each corner point. The corner point that yields the highest value is the maximum value. Option (A) is correct.
Step-by-step explanation:
To determine the maximum value of the expression 5x-2y, we need to use the feasible region. The feasible region is the region that satisfies all the constraints of the given problem. In this case, the constraints will be represented by a system of linear inequalities. We will graph these inequalities and find the region where they overlap, which is the feasible region.
Next, we will evaluate the expression 5x-2y at each corner point of the feasible region. The corner point that yields the highest value is the maximum value of the expression. This is because the corner points represent the extreme points of the feasible region.
Therefore, the feasible region should be used to determine the maximum value of the expression 5x-2y.
The feasible region is the region of the graph containing all the points that satisfy all the inequalities in a system. To graph the feasible region, first graph every inequality in the system. Then find the area where all the graphs overlap.