c) A student wishes to allocate her available study time of 60 hours per week between two subjects in such a way as to maximize her grade average. She formulates two functions governing the grades of each module which can be taken as: 9₁(t₁) = 20 + 20√₁, with t₁ > 0 and 92 (t₂) = -80 + 3t₂, with t₂ > 80/3 maximize the grade average subject to the time constraint t₁ + t₂ = 60. You do not need to show that you have obtained a maximum.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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c) A student wishes to allocate her available study time of 60 hours per week between
two subjects in such a way as to maximize her grade average. She formulates two
functions governing the grades of each module which can be taken as:
9₁ (t₁) = 20 + 20√₁, with t₁ > 0
and
9₂ (t₂) = -80 + 3t2, with t₂ > 80/3
maximize the grade average subject to the time constraint t₁ + t₂ = 60. You do not
need to show that you have obtained a maximum.
Transcribed Image Text:c) A student wishes to allocate her available study time of 60 hours per week between two subjects in such a way as to maximize her grade average. She formulates two functions governing the grades of each module which can be taken as: 9₁ (t₁) = 20 + 20√₁, with t₁ > 0 and 9₂ (t₂) = -80 + 3t2, with t₂ > 80/3 maximize the grade average subject to the time constraint t₁ + t₂ = 60. You do not need to show that you have obtained a maximum.
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