?[T] The total cost C(x), in hundreds of dollars, to produce x jars of mayonnaise is

Chapter 3, Problem 48

(choose chapter or problem)

[T] The total cost C(x), in hundreds of dollars, to produce x jars of mayonnaise is given by \(C(x)=0.000003 x^{3}+4 x+300\)

a. Calculate the average cost per jar over the following intervals:

i. [100, 100.1]

ii. [100, 100.01]

iii. [100, 100.001]

iv. [100, 100.0001]

b. Use the answers from a. to estimate the average cost to produce 100 jars of mayonnaise.

Text Transcription:

C(x) = 0.000003x^3 + 4x + 300.

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