In this paper, we propose the optimization models for determining the optimum process mean under different quality characteristic to minimize the manufacturing cost and the quality loss. The linear quality loss function is used in measuring the quality loss of product. The manufacturing cost is assumed to be positively and linearly proportional to deviation from the one-sided specification limit when the quality characteristic is within specification. The constant manufacturing cost happens when the quality characteristic exceeds specification. The objective of model is to obtain the optimum process mean based on the minimum total expected cost of manufacturer and consumer. Some numerical examples including the normal, lognormal, exponential, and Weibull quality characteristics are provided for illustration.