SOLUTION: Dalco Manufacturing estimates that it’s weekly profit, P, in the hundreds of dollars, can be approximated by the formula P= -3x^2 + 6x + 10, where x is the number of units produced

Algebra ->  Rational-functions -> SOLUTION: Dalco Manufacturing estimates that it’s weekly profit, P, in the hundreds of dollars, can be approximated by the formula P= -3x^2 + 6x + 10, where x is the number of units produced      Log On


   

Question 1132213: Dalco Manufacturing estimates that it’s weekly profit, P, in the hundreds of dollars, can be approximated by the formula P= -3x^2 + 6x + 10, where x is the number of units produced per week, in thousands.
A.) how many units should the company produce per week to earn the maximum profit?
B.) find the maximum weekly profit
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
y = -3x^2 + 6x + 10 = -3*(x^2-2x+1) + 3 + 10 = -3%2A%28x-1%29%5E2 + 13.


(A)  The maximum is achieved at x = 1 (one thousand units produced per week).   ANSWER


(B)  The maximum value is 13 hundreds of dollars.   ANSWER

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On finding the maximum/minimum of a quadratic function see 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


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".