The increasing cost of energy has caused the energy intensive industries to examine means of reducing energy consumption in processing in order to remain competitive both in local and global markets. This paper presents a method for modeling and optimizing energy use in textile manufacturing using linear programming (LP). A linear programming model has been developed which meets the finished product requirements at a minimum cost of energy used in the process subject to different operational constraints. To develop the model, data required were collected through energy audit of the plant. It is through energy audit that constraints and products manufactured were identified and used in the development of the model. Constraints come in the form of system material balance equations and output production demands. Material balance equations and energy balance are the main features of the model. The model will determine optimum values for the process design variables, so as to achieve minimum cost. Sensitivity analysis of the model determines how the optimal production values (optimal solution) are affected by changes in prices of the resources (objective function coefficients).