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

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

owlfred · Answer

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anonymous · Answer

you know the function looks like 
$$f(x) = ax^2+bx+c$$
$$f(2)= 23= 4a+2b+c$$
$$f(4)=55=16a+4b+c$$
$$f(10)=247=100a+10b+c$$

anonymous · Answer

you have three equations in three unknowns to solve

anonymous · Answer

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