The point which does not lie in the feasible region of `2x + 3y lt 18` is :

Options

A. (9, 0)
B. (0, 0)
C. (4, 1)
D. (1, 5)

Answer

To determine which point does not lie in the feasible region defined by the inequality \(2x + 3y < 18\), we will evaluate each given point against the inequality.

### Step-by-Step Solution

1. **Identify the inequality**: The inequality we need to check is \(2x + 3y < 18\).

2. **Evaluate the first point (9, 0)**:
- Substitute \(x = 9\) and \(y = 0\) into the inequality:
\[ 2(9) + 3(0) = 18 + 0 = 18 \]
- Since \(18\) is not less than \(18\), this point does not satisfy the inequality.

3. **Evaluate the second point (0, 0)**:
- Substitute \(x = 0\) and \(y = 0\):
\[ 2(0) + 3(0) = 0 + 0 = 0 \]
- Since \(0 < 18\), this point satisfies the inequality.

4. **Evaluate the third point (4, 1)**:
- Substitute \(x = 4\) and \(y = 1\):
\[ 2(4) + 3(1) = 8 + 3 = 11 \]
- Since \(11 < 18\), this point satisfies the inequality.

5. **Evaluate the fourth point (1, 5)**:
- Substitute \(x = 1\) and \(y = 5\):
\[ 2(1) + 3(5) = 2 + 15 = 17 \]
- Since \(17 < 18\), this point satisfies the inequality.

### Conclusion
The point that does not lie in the feasible region of \(2x + 3y < 18\) is **(9, 0)**.