6. A company can produce a computer chips at a cost of C= f(a) dollars, where fis differentiable. (a) What are the units of f'(a)? OS OS chips chip chips chips (b) Which sentence is best supported by the equation f'(1000) = 50? O Producing 1002 chips costs approximately $100 more than producing 1000 chips. Producing 1002 chips costs approximately $50 more than producing 1000 chips. O It costs $50 to produce 1000 chips. It costs $1000 to produce 50 chips. It costs $1000 more to produce 51 chips than it does to produce 50 chips. Suppose that f(500)=20,000 and f'(500) = 100. Approximately how much does it cost to produce 498 chips? O $20,200 O $20, 100 Ⓒ$19,800 $19,900 O $20,000

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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6. A company can produce a computer chips at a cost of C = f(a) dollars, where f is
differentiable.
What are the units of f'(a)?
(a)
(b)
O $
O
$ chips
chip
chips
chips
Which sentence is best supported by the equation f'(1000) = 50?
Producing 1002 chips costs approximately $100 more than producing 1000
chips.
O Producing 1002 chips costs approximately $50 more than producing 1000
chips.
O It costs $50 to produce 1000 chips.
It costs $1000 to produce 50 chips.
It costs $1000 more to produce 51 chips than it does to produce 50 chips.
(c) Suppose that f(500) 20,000 and f'(500)= 100. Approximately how
much does it cost to produce 498 chips?
O $20,200
$20, 100
$19,800
$19,900
O $20,000
Transcribed Image Text:6. A company can produce a computer chips at a cost of C = f(a) dollars, where f is differentiable. What are the units of f'(a)? (a) (b) O $ O $ chips chip chips chips Which sentence is best supported by the equation f'(1000) = 50? Producing 1002 chips costs approximately $100 more than producing 1000 chips. O Producing 1002 chips costs approximately $50 more than producing 1000 chips. O It costs $50 to produce 1000 chips. It costs $1000 to produce 50 chips. It costs $1000 more to produce 51 chips than it does to produce 50 chips. (c) Suppose that f(500) 20,000 and f'(500)= 100. Approximately how much does it cost to produce 498 chips? O $20,200 $20, 100 $19,800 $19,900 O $20,000
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