(Solution Library) Honey A measure of the adhesiveness of honey can be modeled by A(G,M)=-125.48+4.26G+4.85M-0.05G^2-0.14M^2 where G is the percentage of
Question: Honey A measure of the adhesiveness of honey can be modeled by
\[A(G,M)=-125.48+4.26G+4.85M-0.05{{G}^{2}}-0.14{{M}^{2}}\]where \(G\) is the percentage of glucose and maltose and \(M\) is the percentage of moisture. A contour graph of \(A\) is shown in Activity 4.
- Find the absolute maximum of the adhesiveness of honey. Compare your answer with the estimate in the answer to part a of Activity 4.
- If FDA restrictions for Grade A honey require that the combined percentages of glucose, maltose, and moisture not exceed \(55 \%\), what is the maximum measure of adhesiveness possible?
- Verify that the point in part \(b\) corresponds to a maximum.
- Compare your answer in part \(b\) to the estimate in the answer to part b of Activity 4 .
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