Given this LP Model below:

Max Z = 4x + 5y

Subject to

2x + 1y <= 28

-15x + 4y <= 18

y <= 12

3x - 5y <= 0

x >=0, y>=0

a) Solve for the quantities of x and y which will maximize Z. The x =Blank 1. The y = Blank 2.

b) What is the maximum value of Z? The Z = Blank 3.