.
The minimal average cost per bicycle is achieved at
x = {{-(-0.9)/(2*0.5)}}} = 0.9,
which corresponds to 90 bicycles.
Answer. 90 bicycles should be built per day to minimize the average cost per bicycle.
When you have a quadratic function y = ax^2 + bx + c with a > 0,
it achieves its minimum at x = .
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
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.