[Solution] Peptides The amount of peptides in Activity 15 can also be modeled as a function of pH and processing time: P(x,t)=2.14-0.26x+0.04t-0.23x^2-0.04t^2-0.07xt
Question: Peptides The amount of peptides in Activity 15 can also be modeled as a function of \(\mathrm{pH}\) and processing time:
\[P(x,t)=2.14-0.26x+0.04t-0.23{{x}^{2}}-0.04{{t}^{2}}-0.07xt\text{ milligrams }\]where the \(\mathrm{pH}\) is \(9+x\) and the processing time is \((2.5+t)\) hours. The contour plot shows the amount of peptides.
- Use the contour plot to estimate the maximum amount of peptides as well as the pH and time needed to achieve the maximum.
- Use the model to find the pH and time that will maximize the amount of peptides.
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