Resource Allocation   Podunk Institute of Technology's Math Department offers two courses: Finite Math and Applied Calculus. Each section of Finite Math has 40 students, and each section of Applied Calculus has 30. The department is allowed to offer a total of up to 70 sections. Furthermore, no more than 2,400 students want to take a math course. (No student will take more than one math course.) Draw the feasible region that shows the number of sections of each class that can be offered. (Place finite math on the x-axis and applied calculus on the y-axis.) The x y-coordinate plane is given. There are 2 lines and a region labeled "solution set" on the graph. The first line enters the window at y = 80 on the positive y-axis, goes down and right, passes through the point (30, 40) crossing the second line, crosses the x-axis at x = 60, and exits the window in the fourth quadrant. The second line enters the window at y = 70 on the positive y-axis, goes down and right, passes through the point (30, 40) crossing the first line, crosses the x-axis at x = 70, and exits the window in the fourth quadrant. The solution set is above the x-axis, to the right of the y-axis, below the first line and below the second line. The regions outside the solution set are shaded. The x y-coordinate plane is given. There are 2 lines and a region labeled "solution set" on the graph. The first line enters the window at y = 80 on the positive y-axis, goes down and right, passes through the point (30, 40) crossing the second line, crosses the x-axis at x = 60, and exits the window in the fourth quadrant. The second line enters the window at y = 70 on the positive y-axis, goes down and right, passes through the point (30, 40) crossing the first line, crosses the x-axis at x = 70, and exits the window in the fourth quadrant. The solution set is above the x-axis, to the right of the y-axis, above the first line and below the second line. The regions outside the solution set are shaded. The x y-coordinate plane is given. There are 2 lines and a region labeled "solution set" on the graph. The first line enters the window at y = 80 on the positive y-axis, goes down and right, passes through the point (30, 40) crossing the second line, crosses the x-axis at x = 60, and exits the window in the fourth quadrant. The second line enters the window at y = 70 on the positive y-axis, goes down and right, passes through the point (30, 40) crossing the first line, crosses the x-axis at x = 70, and exits the window in the fourth quadrant. The solution set is above the x-axis, to the right of the y-axis, below the first line and above the second line. The regions outside the solution set are shaded. The x y-coordinate plane is given. There are 2 lines and a region labeled "solution set" on the graph. The first line enters the window at y = 80 on the positive y-axis, goes down and right, passes through the point (30, 40) crossing the second line, crosses the x-axis at x = 60, and exits the window in the fourth quadrant. The second line enters the window at y = 70 on the positive y-axis, goes down and right, passes through the point (30, 40) crossing the first line, crosses the x-axis at x = 70, and exits the window in the fourth quadrant. The solution set is above the x-axis, to the right of the y-axis, above the first line and above the second line. The regions outside the solution set are shaded. Find the corner points of the region. (Order your answers from smallest to largest x, then from smallest to largest y. If an answer does not exist, enter DNE.) (x, y) =        (x, y) =        (x, y) =        (x, y) =