Quantum computing continues to advance steadily, showcasing its potential as a transformative technology. Various quantum computing modalities have emerged, each leveraging different physical implementations and approaches, such as superconducting qubits, trapped ions, neutral atoms, and Boson samplers, to realize the concept of a quantum computer. Researchers have explored over the last few years diverse quantum algorithms, highlighting both the strengths and limitations of different quantum computing architectures. This paper focuses on investigating the feasibility of a novel quantum-classical setup involving two photonic quantum computers recently installed at the Poznan Supercomputing and Networking Center (PSNC). We present a series of application performance tests and comparative analyses, with a specific emphasis on two selected optimization problems: Max-Cut and the resolution of potential conflicts between aircraft paths. Through these investigations, we aim to assess the practicality and efficacy of utilizing photonic quantum computers for addressing real-world optimization problems.