In this paper, we present an implementation of a Job Selection Problem (JSP) – a generalization of the well-known Travelling Salesperson Problem (TSP) – of (N=9) jobs on its Quadratic Unconstrained Binary Optimization (QUBO) form, using (\mathcal{O}(N)) qubits on DWave’s Advantage(_)system4.1 quantum annealing device. The best known quantum algorithm for TSP to date uses (\mathcal{O}(N^2)) qubits. A solution is found using the quantum method. However, since hardware is not yet able to compensate the increase in search-space size, no present overall advantage is achieved when comparing the quantum results with either exhaustive or equiprobably sampled classical solutions of the problem.