. Suppose that the following mathematical program is given:``
max z = 7x + 5y
subject to:
3x + 5y <= 45
x + 2y >= 8
x, y >= 0
Which of the following are true? (Assume any numerical values are rounded to 2 decimal places. )
a) The feasible region is unbounded.
b) The optimal solution occurs at a corner point of the feasible region.
c) The objective function has a slope of -{7/5}.
d) The feasible region is in the first quadrant.