Question

C = 400 – 5x + 0.125x2, where x is the number of gas grills produced. How many units should be produced each day to yield a minimum cost?

Answer 1

1st Observation
The given equation is a quadratic equation.

2nd Observation
The minimum or maximum value of a quadratic equation occurs at its vertex.

3rd Observation
The x-coordinate of the vertex of a quadratic equation is \(x = -\dfrac{b}{2a}\)

4th Observation
The minimum cost, C, can be found by plugging the value of the x from the third observation into the given equation and simplifying the quadratic expression.

Answer 2

so what they're asking is for the axis of symmetry..... thank you! :)

Answer 3

No, they want the value of C. The axis of symmetry only gets you the 3rd observation. You need the value of the 4th observation...the minimum cost.

Answer 4

oh I see