Algebra
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 :(

scott
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 
Joy
This is the question word for word on MyMathLab. The title of the chapter it is from is "Problem Solving and Quadratic Functions"

scott
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
Respond to this Question
Similar Questions

Quadratic equations word problem
The question is Aki’s Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x) = 0.6x^20.8x+10.618, where C(x) is in hundreds of dollars. How many bicycles should the … 
Algebra
Aki's Bicycle designs has determined that when x hundred bicyles are built, the average cost per bicycle is given by C(x)=0.6^20.5x+4.021, where C(x) is in hundreds of dollars. How many biccles should the shop build to minimize the … 
Algebra 2
I apologize for that. I didn't realize I didn't write the whole problem. Thank you for pointing that out to me. Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by c(x) … 
math
Aki’s Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by , where is in hundreds of dollars. How many bicycles should the shop build in order to minimize the average cost … 
Algebra 2
Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by c(x) =0.1x^2 0.5x+ 9.295. Where C(x) is in hundreds of dollars, how many bicycles should the shop build to minimize … 
algabra
Aki’s Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x) = 0.1x^21.2x+9.457, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize … 
Algebra
A bike design company has determined that when X hundred bicycles are built, the average cost per bike is given by C(x)=0.2x^21.3x+2.995,where C(x)is in hundreds of dollars. How many bikes should the shop build to minimize the average … 
math
J's bike has determined that when x hundred bikes are built, the average cost per bike is given by C(x)= 0.1x^21.2x+4.993, where C(x) is in hundreds of dollars. how many bikes should the shop build to minimize the average cost per … 
Algebra word problem
J's bike has determined that when x hundred bikes are built, the average cost per bike is given by C(x)= 0.1x^21.2x+4.993, where C(x) is in hundreds of dollars. how many bikes should the shop build to minimize the average cost per … 
college algebra
Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x) =0.1x^2−1.4x+8.096, where C(x) is in hundreds of dollars. How many bicycles should the shop build …