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.)
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.)
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 56E: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream...
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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.)
(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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VIEWStep 2: Introduce to the formulas used
VIEWStep 3: (a) Determining the first partial derivatives of the function
VIEWStep 4: (a) Finding the critical points
VIEWStep 5: (a) Determining the absolute maximum of the adhesiveness of honey
VIEWStep 6: (b) Determining the function for the given condition
VIEWStep 7: (b) Determining the critical point
VIEWStep 8: (b) Determining the maximum measure of adhesiveness possible for the given condition
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