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 5 90.79 2 1.095x1 2 1.045x2 2 2.7812 1 2 2.524x2 2 2 0.775x1x2Here x1 5 (Temperature 2 125)y10 and x2 5 (Time 2 300)y30, 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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Chapter1: Chemical Foundations
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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 5 90.79 2 1.095x1 2 1.045x2 2 2.7812
1
2 2.524x2
2 2 0.775x1x2Here x1 5 (Temperature 2 125)y10 and x2 5 (Time 2
300)y30, 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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