Question: A blending process, shown in Figure Q2.7, mixes component A into a stream. The objective is to maximize the amount of A in the

A blending process, shown in Figure Q2.7, mixes component A into a stream. The objective is to maximize the amount of A in the stream without exceeding the upper limit of the concentration of A, which is 2.2 mole/m. The current operation is "open-loop," with the operator occasionally looking at the analyzer value and changing the flow of A. The flow during the period that the data was collected was essentially constant at 1053 m/h. How much more A could have been blended into the stream with perfect control, that is, if the concentration of A had been maintained exactly at its maximum? What would be the improvement if the new distribution were normal with a standard deviation of 0.075 mole/m? Frequency Historical datal Limiting value 0.3 0.25 0.2 0.15 0.1 0.05 0 1.5 1.6 1.7 1.8 1.9 2.0 2.1 Concentration of A in blend, moles/m FIGURE Q2.7
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