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The average cost when producing x items is found by dividing the cost function, C(x), by the number of items, x. When is the average cost less than 100, given the cost function is C(x) = 10x + 180?

User Farway
by
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1 Answer

7 votes

Answer:

The average cost is less than 100 when the number of items x is greater than 2

Explanation:

The cost equation is
C(x) = 10x + 180

The average cost
Cp = (C(x))/(x)

We want to know when the cost Cp is less than 100.

So


Cp <100


Cp = (C(x))/(x) <100


10 + (180)/(x) <100\\\\(180)/(x) <90

For
x> 0


(180)/(90) <x


x> 2

The average cost is less than 100 when
x>2

User MikhilMC
by
8.5k points

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