Question

Photo Necessities produces camera

cases. They have found that the cost,
c(x), of making x camera cases is a
quadratic function in terms of x.
The company also discovered that it
costs $16 to produce 2 camera cases, $18
to produce 4 camera cases, and $48 to
produce 10 camera cases.
Here is the cost function used to
represent this situation in terms of the
number of camera cases produced:
(x) = 0.5x2. 2x + 18

Find the total cost of producing 8 camera cases.

Answer 1

A graphing calculator can do quadratic regression on the given points. It tells you the cost function is

.. c(x) = (1/2)x^2 +8x +10

Then c(12) = 178

The cost function predicts the total cost of producing 12 camera cases is $178.

Explanation:

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