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VLD [36.1K]
3 years ago
13

The cost, in dollars, of producing x belts is given by C(x) = 634 + 18x - 0.071 x^2. Find the rate at which average cost is chan

ging when 324 belts have been produced. When 324 belts have been produced, the average cost is changing at_______ for each additional belt.
Mathematics
1 answer:
o-na [289]3 years ago
5 0

Answer:

When 324 belts have been produced, the average cost is changing at -28 dollars for each additional belt.

Step-by-step explanation:

The cost of producing x belts is given by:

C(x) = 634 + 18x - 0.071x^{2}

Find the rate at which average cost is changing when 324 belts have been produced.

This is C'(324). So

C(x) = 634 + 18x - 0.071x^{2}

C'(x) = -0.142x + 18

C'(324) = -28

So the correct answer is:

When 324 belts have been produced, the average cost is changing at -28 dollars for each additional belt.

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