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 51%, what is the maximum measure of adhesiveness possible? (Round your answer to three decimal places.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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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 51%, what is the maximum measure of adhesiveness possible? (Round your answer to three decimal places.)
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