Consider a cost function of the form S 20, 000 + 980x – x² for 0 1,000. C(x) = In an attempt to calculate the marginal cost at æ = 1, 000, economists have devised the formula MC(1,000) = ÷(. 1 lim (C'(x))+ 2 1+1,000+ _ lim (C'(2)) . z→1,000– Calculate MC(1,000). Provide your answer below:

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Author:James Stewart
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Chapter1: Functions And Models
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Consider a cost function of the form
20, 000 + 980x - x² for 0 < x < 1,000
for x > 1,000.
C(x) =
In an attempt to calculate the marginal cost at æ = 1, 000, economists have devised the formula
1
MС(1,000)
lim (C'(z)) +_ lim (C (2))).
2 z+1,000+
=
z+1,000–
Calculate MC (1,000).
Provide your answer below:
Transcribed Image Text:Consider a cost function of the form 20, 000 + 980x - x² for 0 < x < 1,000 for x > 1,000. C(x) = In an attempt to calculate the marginal cost at æ = 1, 000, economists have devised the formula 1 MС(1,000) lim (C'(z)) +_ lim (C (2))). 2 z+1,000+ = z+1,000– Calculate MC (1,000). Provide your answer below:
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