Maximize ` z = 4 x + 5y `, subject to
` 2x + y ge7, 2x + 3 y le 15, x le 3, x ge 0 , y ge 0 `

Explanation

To solve the problem of maximizing \( z = 4x + 5y \) subject to the given constraints, we will follow these steps:

### Step 1: Write the constraints
The constraints given in the problem are:
1. \( 2x + y \geq 7 \)
2. \( 2x + 3y \leq 15 \)
3. \( x \leq 3 \)
4. \( x \geq 0 \)
...