Linear Programming — Easy JEE math MCQ
The corner points of a feasible region are $(0, 0)$, $(4, 0)$, $(2, 3)$, $(0, 4)$. The maximum value of $Z = 3x + 2y$ is:
- A. $12$
- B. $8$
- C. $13$
- D. $10$
Solution
At $(0, 0)$: $Z = 0$
At $(4, 0)$: $Z = 12$
At $(2, 3)$: $Z = 6 + 6 = 12$
At $(0, 4)$: $Z = 8$
Maximum $Z = 12$
