By graphing, find the set of points that satisfy all the following inequalities.

5x + 13y 390

9x + 10y 367

16x + 3y 416

x 0, y 0

a) What is the corner point that lies farthest to the right in the solution region?

b) What is the corner point that lies next farthest to the right (in other words the corner point with the next largest x-coordinate)?

c) What is the corner point that lies next farthest to the right (in other words the corner point with the third largest x-coordinate)?