Suppose That a Maximization LP Problem Has Corners of (0,0)

Multiple Choice

Suppose that a maximization LP problem has corners of (0,0) , (5,0) , and (0,5) . How many possible combinations of X and Y will yield the maximum profit if profit is given to be 5X+5Y?

A) 0
B) 1
C) 2
D) 5
E) Infinite