Here are the constraint and objective functions based on the problem you provided:

Constraints:

1. Minimum number of economy tickets: $x \geq 30$ Type: x>=30

2. Minimum number of business class tickets: $y \geq 27$ Type: y>=27

3. Capacity constraint (total number of travelers): $x + y \leq 155$ Type: x+y<=155

Objective function:

Maximize profit:
$P = 245x + 295y$ Type: P=245x+295y

Let me know if you'd like more details on how to solve this problem or if you have any other questions!

Here are 5 related questions:

1. How do we graph these constraints on a coordinate plane?
2. How do we solve the system of inequalities to find feasible solutions?
3. What is the significance of the boundary lines in the solution space?
4. How do we determine the optimal solution for maximizing profit?
5. How do corner points affect the optimization of the objective function?

Tip: When solving optimization problems, always check the vertices (corner points) of the feasible region, as these often yield the maximum or minimum values for the objective function.