posted by Joy
A company has determined that when x hundred dulcimers are built, the average cost per dulcimer can be estimated by C(x)=0.2x(squared)−2.6x+9.950, where C(x) is in hundreds of dollars. What is the minimum average cost per dulcimer and how many dulcimers should be built to achieve that minimum?
The minimum average cost per dulcimer is $______. I have gotten this wrong twice and I only have one more try tonight :(
the graph of a quadratic equation is a parabola
when you are looking for a minimum, the parabola generally opens upward, with a minimum at the vertex
... this means a negative coefficient for the 2nd order (squared) term
... this is not the case with the equation you have
there seems to be something amiss
This is the question word for word on MyMathLab. The title of the chapter it is from is "Problem Solving and Quadratic Functions"
sorry, my train of thought derailed ...
the vertex is on the axis of symmetry
... the equation (for the axis) is ... x = -b / 2a
... in this case ... x = -(-2.6) / (2 * .2) = 6.5
min # of dulcimers is ... 650
solve C(650) to find the min ave cost of dulcimers