Company ABC produces widgets. They have found that the cost, c (x), of making x widgets is a quadratic function in terms of x. The company also discovered that it costs $23 to produce 2 widgets, $55 to produce 4 widgets, and $247 to produce 10 widgets. What is the total cost of producing 8 widgets?

Question

Company ABC produces widgets. They have found that the cost,  c (x), of making x widgets is a quadratic function in terms of x. The company also discovered that it costs $23 to produce 2 widgets, $55 to produce 4 widgets, and $247 to produce 10 widgets. What is the total cost of producing 8 widgets?

anonymous · Answer

i cantseem to get this in the right formula setup to solve?  Can anyone help  out?

anonymous · Answer

let C(x)=ax^2+bx+c
then 23 =4a+2b+c    (  when x=2)
55=16a+4b+c   (when x=4)
247=100a+10b+c (whenx=10)

anonymous · Answer

by solving these equations for a,b,c 
the required function can be evaluated

anonymous · Answer

how do i solve with the 3 variables present?

anonymous · Answer

do i have to set up a matrix to solve this or what?  i don't know where to go from here...help please