Final answer:
Selection of a construction manager at-risk is based on multiple criteria, not solely on low total construction cost. Mathematical models help estimate costs and allow for normalized comparison among various solutions.
Step-by-step explanation:
The statement 'Low total construction cost is the basis for selection of the construction manager at-risk' is not entirely true as the selection process for a construction manager at-risk often involves multiple factors, including but not limited to cost. When it comes to mathematical connection in the selection process, mathematical models play a crucial role in estimating costs for different construction approaches. These models are valuable during both the idea generation phase and the subsequent design process, aiding in predicting costs for various alternative solutions. They help establish a clear connection between the scientific or technical aspects of a construction technique and its associated costs, which include materials, fabrication, manufacturing, operation, and maintenance. To facilitate comparison, these costs are typically normalized to a standard unit of measurement, such as cost per thousand gallons of water.