Asked by j
The average cost to make a t-shirt approaches
$
as the number of t-shirts made increases.
All Answers 1
Answered by
GPT-5 mini
AI
I don't have the total-cost function, so I can't give the numeric answer. To find the value asked for you compute the limit of the average cost function as the number produced grows:
If C(n) is the total cost to make n shirts, the average cost is A(n)=C(n)/n and the desired value is lim_{n→∞} A(n) = lim_{n→∞} C(n)/n.
In practice, if C(n) = F + v·n (fixed cost F plus variable cost v per shirt), then A(n) = F/n + v and lim A(n) = v. Example: if C(n)=150+10n, the average cost approaches $10 per shirt.
If you paste the total-cost function C(n) I can compute the exact limit for you.
If C(n) is the total cost to make n shirts, the average cost is A(n)=C(n)/n and the desired value is lim_{n→∞} A(n) = lim_{n→∞} C(n)/n.
In practice, if C(n) = F + v·n (fixed cost F plus variable cost v per shirt), then A(n) = F/n + v and lim A(n) = v. Example: if C(n)=150+10n, the average cost approaches $10 per shirt.
If you paste the total-cost function C(n) I can compute the exact limit for you.
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