`Olexle5 and 5leyle10`, then maximum value of `(x/y)` will be

Options

A. 1
B. `1/2`
C. 2
D. 0

Answer

To find the maximum value of \( \frac{x}{y} \) given the constraints \( 0 \leq x \leq 5 \) and \( 5 \leq y \leq 10 \), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the ranges for \( x \) and \( y \)**:
- \( x \) can take values from 0 to 5 (inclusive).
- \( y \) can take values from 5 to 10 (inclusive).

2. **Set up the expression to maximize**:
- We need to maximize \( \frac{x}{y} \).

3. **Consider the maximum value of \( x \)**:
- The maximum value of \( x \) is 5 (since \( x \) can be at most 5).

4. **Consider the minimum value of \( y \)**:
- The minimum value of \( y \) is 5 (since \( y \) must be at least 5).

5. **Calculate the maximum value of \( \frac{x}{y} \)**:
- Substitute the maximum \( x \) and minimum \( y \) into the expression:
\[ \frac{x}{y} = \frac{5}{5} = 1 \]

6. **Conclusion**:
- The maximum value of \( \frac{x}{y} \) is 1.

### Final Answer:
The maximum value of \( \frac{x}{y} \) is \( 1 \).