Business, 24.09.2020 14:01 kenzie19169

A company manufactures rope, and the total cost of producing r r feet of rope is C ( r ) C(r) dollars. What does it mean to say that C ( 2000 ) = 800 ? C(2000)=800? What are the units of C ′ ( r ) ? C′(r)? Suppose that C ( 2000 ) = 800 C(2000)=800 and C ′ ( 2000 ) = 0.35 . C′(2000)=0.35. Estimate C ( 2100 ) , C(2100), and justify your estimate by writing at least one sentence that explains your thinking. Do you think C ′ ( 2000 ) C′(2000) is less than, equal to, or greater than C ′ ( 3000 ) ? C′(3000)? Why? Suppose someone claims that C ′ ( 5000 ) = − 0.1 . C′(5000)=−0.1. What would the practical meaning of this derivative value tell you about the approximate cost of the next foot of rope? Is this possible? Why or why not?

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A company manufactures rope, and the total cost of producing r r feet of rope is C ( r ) C(r) dollar...

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