Final answer:
The student is asking to find the corner points of a region defined by a set of linear inequalities. By graphing the inequalities and finding their intersection points, the corner points of the feasible region can be determined.
Step-by-step explanation:
The student's question involves finding the corner points of the feasible region defined by a system of linear inequalities. These inequalities are:
- -7y <= -7
- 6x - 2y >= 10
- 6x + 5y <= 59
To solve this, you would graph each inequality on a coordinate plane and look for the intersection points of these lines to find the corner points. The feasible region is where all these inequalities overlap. The corner points are where the boundary lines intersect.
Step-by-step explanation
- Rewrite each inequality in slope-intercept form (y = mx + b) to easily graph them.
- Graph each line on the same coordinate plane.
- Identify the feasibility region, which is the common area that satisfies all inequalities.
- Find the intersection points of the lines, which are the corner points of the feasibility region.
- Verify the points by plugging them into the inequalities to ensure they satisfy all the conditions.