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Biodiesel is an attractive alternative to fossil fuel due to several advantages, but its synthesis is required to calculate the optimum operating conditions to make it competitive with conventional fuels. Equation 1 represents the objective function that describes the profit for biodiesel synthesis which is required to maximize. Although several fectors affect biodiesel yield, but we are only Eonsidering the temperature. Maximize $ = CW-C2W2 - C3W3 (1) 1 - Where (S/Batch) is the profit-based objective function per batch. wi, w2, and w3 are weight functions that need to be adjusted during calculations if required. The selling price depends upon the quality of a product, which further depends on the temperature (T), but for simplification, we can consider it constant, $ Product selling price = C1 = 60 batch $ Consumable Cost = C2 = 30 batch $ Energye Cost = C3 = f(T) = 0.083 XT batch = The energy is the temperature (T) function, and the temperature range is 0 to 90 C. The golden section search using two points X, and X, in the interval [0,1], are X = 0.382 and X2 = 0.6180 Biodiesel is an attractive alternative to fossil fuel due to several advantages, but its synthesis is required to calculate the optimum operating conditions to make it competitive with conventional fuels. Equation 1 represents the objective function that describes the profit for biodiesel synthesis which is required to maximize. Although several fectors affect biodiesel yield, but we are only Eonsidering the temperature. Maximize $ = CW-C2W2 - C3W3 (1) 1 - Where (S/Batch) is the profit-based objective function per batch. wi, w2, and w3 are weight functions that need to be adjusted during calculations if required. The selling price depends upon the quality of a product, which further depends on the temperature (T), but for simplification, we can consider it constant, $ Product selling price = C1 = 60 batch $ Consumable Cost = C2 = 30 batch $ Energye Cost = C3 = f(T) = 0.083 XT batch = The energy is the temperature (T) function, and the temperature range is 0 to 90 C. The golden section search using two points X, and X, in the interval [0,1], are X = 0.382 and X2 = 0.6180

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