f = Swedish Fish; H1=-.1f2+4f  p= Gushers; H2=-.25p2+6p The two equations are my joyfulness meter represented as a function. Without eating the candy my joyfulness level reads H3=50 on the meter. If my total joyfulness is the sum of H1, H2, and H3 how many Gushers (p) and Swedish Fish (f) should i get to maximize my total joyfulness and what is my maximum joyful reading? label which test is being used (1st or 2nd partials test for relative extrema)

Algebra for College Students
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ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
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f = Swedish Fish; H1=-.1f2+4f 

p= Gushers; H2=-.25p2+6p

The two equations are my joyfulness meter represented as a function. Without eating the candy my joyfulness level reads H3=50 on the meter. If my total joyfulness is the sum of H1, H2, and H3 how many Gushers (p) and Swedish Fish (f) should i get to maximize my total joyfulness and what is my maximum joyful reading? label which test is being used (1st or 2nd partials test for relative extrema)

 

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Given two equations that are joyfulness meter represented as a function.

Calculus homework question answer, step 1, image 1

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We begin with defining the function.

Calculus homework question answer, step 2, image 1

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