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Question: The fired heater example in Figure had a hard constraint.

(a) Sketch the performance function for this situation, including the performance when violations occur, on the figure.

(b) Assume that the distribution of the temperature would have 0.005 fraction of its operation exceeding the limit of 864°C and that each time the limit is exceeded, the plant incurs a cost of $1,000 to restart the equipment. Can you calculate the total cost per year for exceeding the limit?

(c) Make any additional assumptions and complete the calculation.

2077_Temperature.png

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