K A company that produces ribbon has found that the marginal cost of producing x yards of fancy ribbon is given by C'(x) = -0.00001x² -0.02x+61 for x ≤ 1600, where C'(x) is in cents. Approximate the total cost of manufacturing 1600 yards of ribbon, using 5 subintervals over [0,1600] and the left endpoint of each subinterval. .... The total cost of manufacturing 1600 yards of ribbon is approximately $. (Do not round until the final answer. Then round to the nearest cent as needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A company that produces ribbon has found that the marginal cost of producing \( x \) yards of fancy ribbon is given by 

\[ C'(x) = -0.00001x^2 - 0.02x + 61 \]

for \( x \leq 1600 \), where \( C'(x) \) is in cents. Approximate the total cost of manufacturing 1600 yards of ribbon, using 5 subintervals over \([0, 1600]\) and the left endpoint of each subinterval.

---

The total cost of manufacturing 1600 yards of ribbon is approximately $ \_\_.

(Do not round until the final answer. Then round to the nearest cent as needed.)
Transcribed Image Text:A company that produces ribbon has found that the marginal cost of producing \( x \) yards of fancy ribbon is given by \[ C'(x) = -0.00001x^2 - 0.02x + 61 \] for \( x \leq 1600 \), where \( C'(x) \) is in cents. Approximate the total cost of manufacturing 1600 yards of ribbon, using 5 subintervals over \([0, 1600]\) and the left endpoint of each subinterval. --- The total cost of manufacturing 1600 yards of ribbon is approximately $ \_\_. (Do not round until the final answer. Then round to the nearest cent as needed.)
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