For the firm providing the bike-sharing service, the operational challenges are manifold. First, they need to decide on the number and locations of the facilities where the bikes are parked to be available to customers. Next, they need to decide on the number of bikes that are positioned at each location. Third, over time, the number of bikes at each location will become unbalanced. So, the firm will need to decide, from time to time, how many bikes will be repositioned from one location to others. These decisions will directly affect the revenue because of the availability or lack thereof of bikes for the consumers. The repositioning, on the other hand, will directly affect the operating cost. Thus, the profitability of the firm will greatly depend on the quality of these decisions. An optimum decision making Model, therefore, is a necessity. In this paper, we attempt to provide such a model and its solution method.