Maximizing the efficiency of sulfuric acid production plants using hydrogen sulfide and liquid sulfur together

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The approach is as follows: I. Given conditions: 1. Unit consumption for acid production from hydrogen sulfide (raw materials and utility services)； 2. Specific consumption for producing sulfuric acid from liquid sulfur (production of sulfuric acid from liquid sulfur). 3. Whether it is sulfuric acid production from liquid sulfur or from hydrogen sulfide, an exhaust gas treatment unit is required, and sulfur amine is produced as a by-product; the specific consumption for producing sulfur amine is known. II. Solution: 1. Given the constant price of hydrogen sulfide and the fluctuating price of liquid sulfur (which varies with market conditions), 2. In a combined facility, how can the ratio of raw materials fed into the facility – namely hydrogen sulfide and liquid sulfur – be adjusted, based on changes in the market prices of these raw materials (with attention mainly paid to hydrogen sulfide and liquid sulfur, while ignoring price fluctuations of other chemicals), in order to maximize the efficiency of the facility? I would like to ask everyone for their approaches to solving this problem!