This paper report the proposed of an optimization process of power dispatch in a DC microgrid using principles of linear programming. The microgrid used has as microsources: a wind turbine, a solar PV plant, a battery bank, an electric load and an electrical interconnection point with utility network. The microgrid only allows the energy input from utility network. Additionally, every component is configured to offer/request a fixed nominal power of production/demand during periods of five minutes of duration; this is a new operating strategy: a constant power generation and consumption is defined in each microsources, loads and storages. To optimization process search the minimum cost of production, distributing adequate the demand between microsources and utility network under the proposed operating strategy. In this paper has been assumed that costs vary randomly in every period by each microsource and utility network. The optimization process has been development, implemented and compared with its equivalent in Matlab.