SOLUTION: The value of Boycott's stock portfolio is given by the function q(t) = 60 + 66t - 3t^2, where q is the value of the portfolio in hundreds of dollars and t is the time in months. Wh

Algebra ->  Graphs -> SOLUTION: The value of Boycott's stock portfolio is given by the function q(t) = 60 + 66t - 3t^2, where q is the value of the portfolio in hundreds of dollars and t is the time in months. Wh      Log On


   

Question 1139596: The value of Boycott's stock portfolio is given by the function q(t) = 60 + 66t - 3t^2, where q is the value of the portfolio in hundreds of dollars and t is the time in months. When will the value of Boycott's portfolio be at a maximum?
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
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The given quadratic function has the minimum at  x = -b%2F2a = -66%2F%282%2A%28-3%29%29 = %28-66%29%2F%28-6%29 = 11.


ANSWER.  the value of Boycott's portfolio be at a maximum in 11 months.

Solved.

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On finding the maximum/minimum of a quadratic function, look into the lessons
    - HOW TO complete the square to find the minimum/maximum of a quadratic function
    - Briefly on finding the minimum/maximum of a quadratic function
    - HOW TO complete the square to find the vertex of a parabola
    - Briefly on finding the vertex of a parabola
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic "Finding minimum/maximum of quadratic functions".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.