Reinforced steel rebar is commonly supplied in one-dimensional stocks and typically designed for and installed in various structural components in civil and industrial construction. Surplus reinforcement constitutes a major fraction of construction generated waste. Cutting one-dimensional stocks to suit construction project requirements results in cutting losses. Therefore, reducing steel waste (or minimizing cutting losses) has long been the focus of academic research in one-dimensional stock design and cutting problems. Previous research developed mathematical models in an attempt to analytically minimize cutting losses based on preliminary engineering designs, but little insight has been provided on how to integrate minimization of cutting losses and engineering design into an integrated optimization problem, let alone considering minimizing total steel rebar installation cost as a parallel objective. The sustainability issue in regard to balancing reinforcement waste and crew installation costs on the basis of optimized engineering design has yet to be addressed. This study introduces a Mixed Integer Programming (MIP) approach to generate optimal cutting patterns, minimum cutting losses and associated total installation cost. A reinforced concrete slab case is adopted as a test to show that the proposed methodology is capable of producing optimal tradeoff solutions in slab reinforcement detailing design, resulting in less wastage and lower crew installation cost.