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A natural gas processing plant can produce two grades of fuel gas: Regular and Premium. The production of these grades of gas involve availability and energy constraints shown in the table below:
Resource Regular Premium Total Available Feed gas required 7 m3/kg 11 m3/kg 77 m3/s Energy required 10 kJ/kg 8 kJ/kg 80 kW Max prod rates 9 kg/s 6 kg/s Profit 150 cents/kg 175 cents/kg .
Write the optimization problem in standard form;
Develop a graphical (essentially a hand-calculated) solution that optimizes this problem, where x1 and x2 are the flow rates of Regular and Premium gas, respectively, in kg/s.
State the solution
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