SOLUTION: They found that the cost, c(x), of making x calculators is a quadratic function in terms of x. Th company also discovered that it costs $61 to produce 3 calculators, $165 to produc

Question 949836: They found that the cost, c(x), of making x calculators is a quadratic function in terms of x. Th company also discovered that it costs $61 to produce 3 calculators, $165 to produce 7 calculators, and $385 to produce 12 calculators. Find the total cost of producing 6 calculators.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
They found that the cost, c(x), of making x calculators is a quadratic function in terms of x. Th company also discovered that it costs $61 to produce 3 calculators, $165 to produce 7 calculators, and $385 to produce 12 calculators. Find the total cost of producing 6 calculators.
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Form::
ax^2 + bx + c = c(x)
Using (3,61) you get:: 9a + 3b + c = 61
Using (7,165) you get: 49a+ 7b = c = 165
Using (12,385) you get: 144a + 12b + c = 385
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Solve for a,b,c
a = 2
b = 6
c = 25
---
c(x) = 2x^2 + 6x + 25
----
Ans: c(6) = 2*36 + 6*6 + 25 = 169
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Cheers,
Stan H.
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