The function gives the cost to manufacture x items. C(x)=50,000+ 20x + 40,000 -; x = 100 Find the average cost per unit of manufacturing h more items (i.e., the average rate of change of the total cost) at a production level of x, where x is as indicated and h = 10 and 1. (Use smaller values of h to check your estimates.) HINT [See Example 1.] (Round your answer to two decimal places.) h 10 1 Cave Well done! Excellent! Estimate the instantaneous rate of change of the total cost at the given production level x, specifying the units of measurement. C'(100) | $/item Enter a number. The function gives the cost to manufacture x items. C(x)=25,000 + 8x x2 ; x = 15,000 20,000 Find the average cost per unit of manufacturing h more items (i.e., the average rate of change of the total cost) at a production level of x, where x is as indicated and h = 10 and 1. (Use smaller values of h to check your estimates. Round your answers to five decimal places.) h Cave 10 1 x Awesome! See the rounding prompt for how many decimal places are needed. Estimate the instantaneous rate of change of the total cost at the given production level x, specifying the units of measurement. C'(15,000)= $/item Enter an exact number.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.4: Definition Of The Derivative
Problem 49E
Question
100%
The function gives the cost to manufacture x items.
C(x)=50,000+ 20x +
40,000
-; x = 100
Find the average cost per unit of manufacturing h more items (i.e., the average rate of change of the total cost) at a production
level of x, where x is as indicated and h = 10 and 1. (Use smaller values of h to check your estimates.) HINT [See Example 1.]
(Round your answer to two decimal places.)
h
10
1
Cave
Well
done!
Excellent!
Estimate the instantaneous rate of change of the total cost at the given production level x, specifying the units of measurement.
C'(100) |
$/item
Enter a number.
Transcribed Image Text:The function gives the cost to manufacture x items. C(x)=50,000+ 20x + 40,000 -; x = 100 Find the average cost per unit of manufacturing h more items (i.e., the average rate of change of the total cost) at a production level of x, where x is as indicated and h = 10 and 1. (Use smaller values of h to check your estimates.) HINT [See Example 1.] (Round your answer to two decimal places.) h 10 1 Cave Well done! Excellent! Estimate the instantaneous rate of change of the total cost at the given production level x, specifying the units of measurement. C'(100) | $/item Enter a number.
The function gives the cost to manufacture x items.
C(x)=25,000 + 8x
x2
; x = 15,000
20,000
Find the average cost per unit of manufacturing h more items (i.e., the average rate of change of the total cost) at a production
level of x, where x is as indicated and h = 10 and 1. (Use smaller values of h to check your estimates. Round your answers to five
decimal places.)
h
Cave
10
1
x
Awesome!
See the rounding prompt for how many decimal places are needed.
Estimate the instantaneous rate of change of the total cost at the given production level x, specifying the units of measurement.
C'(15,000)=
$/item
Enter an exact number.
Transcribed Image Text:The function gives the cost to manufacture x items. C(x)=25,000 + 8x x2 ; x = 15,000 20,000 Find the average cost per unit of manufacturing h more items (i.e., the average rate of change of the total cost) at a production level of x, where x is as indicated and h = 10 and 1. (Use smaller values of h to check your estimates. Round your answers to five decimal places.) h Cave 10 1 x Awesome! See the rounding prompt for how many decimal places are needed. Estimate the instantaneous rate of change of the total cost at the given production level x, specifying the units of measurement. C'(15,000)= $/item Enter an exact number.
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