Question: Consider the following linear program: MAX. Z = 5X + 6Y Subject to: . 2X + Y < 12 (1) 2X + 4Y < 24

Consider the following linear program:
MAX. Z = 5X + 6Y
Subject to:
. 2X + Y < 12 (1)
2X + 4Y < 24 (2)
a- Solve this linear program graphically. (2 marks)
b- Determine the optimal quantities of X, Y, and the value of Z. (3 marks)
c- What is the slack for constraint (1)? (2 mark)
d- Find the change in the objective function coefficient when profit is raised in (y) from 6 to 12. (3 marks)
do it quickly please

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