A measure of the adhesiveness of honey can be modeled as f(x, y) = −125.48 + 4.26x + 4.85y − 0.05x2 − 0.14y2 where x is the percentage of glucose and maltose and y is the percentage of moisture.†
(a) Calculate the absolute maximum of the adhesiveness of honey. (Round your answer to one decimal place.)
(b) If FDA restrictions for Grade A honey require that the combined percentages of glucose, maltose, and moisture equals 55%, what is the maximum measure of adhesiveness possible? (Round your answer to three decimal places.)
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