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 think this should be helpful: C(x)=ax^2+bx+c

anonymous · Answer

Well, let the quadratic be:
ax^2 + bx + c.

By using the three data points, you get three equations in three variables a, b and c.
Solve them to find the real quadratic equation.

Then, use value of x=8 to find the cost for 8 units.

anonymous · Answer

Yep, exactly, we have c(2)=23, c(4)=55, and c(10)=247

anonymous · Answer

So what's the answer?

anonymous · Answer

well, basically your gonna end up with 3 equations and unknowns which you will have to solve for for

anonymous · Answer

what would be the total cost of producing 8 widgets

anonymous · Answer

A.

$103




B.
$153




C.
$167




D.
$177

anonymous · Answer

?

anonymous · Answer

Asking us to do your work and pop an answer choice is not the best thing I think.