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 is found to depend...

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 is found to depend 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:




Here x₁
= (Temperature - 125)10 and x₂
= (Time - 300)30, where temperature is measured in degrees Fahrenheit, and time is measured in seconds. Find the temperature and time settings that maximize the yield of this process. (Hint: Use a data table.)