Abstract

Linear programming is an important mathematical technique, which is widely used in military operations, economic analysis, management, and engineering technology to find the optimal choice. Moreover, it is useful when trying to find the best outcome that involves several resource constraints, like animal diet. In this paper, we will become cattle ranchers, trying to figure out the best combination of feeds for the three groups of cattle. We also considered the cattles environmental impact, methane emission, into the linear program. The goal is to minimize the cost while balancing the cattles nutritional needs and lowering methane emissions. The Simplex Loop used to solve linear programs is also explained, however, we used MATLAB to arrive at the solution.

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