at rug factory approximately q(t) = r² + 30(t) rugs are manufactured during the first t hours of a production run and the total cost of manufacturing run q rug is C(q) = 0

at rug factory approximately q(t) = r² + 30(t) rugs are manufactured during the first t hours of a production run and the total cost of manufacturing run q rug is C(q) = 0.01q³ + 4q + 80 dollars. Find the rate at which ghe manufacturing cost is changing with respect to time 3 hours after the production commences. Transcribed Image Text: PERFORMANCE TASK #2
GENERAL INSTRUCTIONS:
1. Read and follow the instructions carefully.
2. COPY and ANSWER (show your solution) on a separate sheet of paper.
3. Box and write the appropriate unit on your FINAL ANSWER.
Solve the following problem below.
At a rug factory approximately q(t) = r’ + 30t rugs are manufactured during the first / hours of
a production run, and the total cost of manufacturing run q rug is C(q) = 0.01q’ + 4q + 80 dollars. Find
the rate at which the manufacturing cost is changing with respect to time 3 hours after the production
commences.

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