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Solve the following.
The cost function is C(x) = 3x² - 6x + 5. Find the average cost when x = 2.
The cost function is $C(x) = 3x^2 - 6x + 5$. Find the average cost when $x = 2$.
Answer
Answer
$C(2) = 3(2)^2 - 6(2) + 5 = 12 - 12 + 5 = 5$
Average cost $= \frac{C(x)}{x} = \frac{5}{2} = 2.5$
Hence the average cost is $2.5$.
Final answer: 2.5