The yield of a chemical reaction is defined as the ratio (expressed as a percentage) of usable output to the amount of raw material input. Suppose the yield of a chemical reaction depends on the length of time the process is run and the temperature at which the process is run. The yield can be expressed as follows:
Yield = 90.79 – 1.095x1 – 1.045x2 – 2.78121 – 2.524x22 – 0.775x1 x2
Here x1 = (Temperature – 125)/10 and x2 = (Time – 300)/30, where temperature is measured in degrees Fahrenheit, and time is measured in seconds. Use a data table to find the temperature and time settings that maximize the yield of this process.
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