# Suppose total cost in dollars from the production of x printers is given byC(x) = 0.0001x3 + 0.005x2 + 28x + 3000 (a) Find the average rate of change of total cost when production changes from 100 to 500 printers. (b) Find the average rate of change of total cost when production changes from 500 to 700 printers.

Question
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Suppose total cost in dollars from the production of x printers is given by

C(x) = 0.0001x3 + 0.005x2 + 28x + 3000

(a) Find the average rate of change of total cost when production changes from 100 to 500 printers.

(b) Find the average rate of change of total cost when production changes from 500 to 700 printers.
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Step 1

Suppose total cost in dollar from the production of x printers is given by

C(x) = 0.0001x3+0.005x2+28x+3000

Find the average rate f change of total cost when production changes

1. a) from 100 to 500 printers
2. b) from 500 to 700 printer
Step 2

The average  rate of change of a function

Step 3

Given

from 100 to 500... help_outlineImage Transcriptionclosef(b)-f(a) b-a C(x) 0.0001x + 0.005x2 +28x+3000 C(500) 0.0001(500)+0.005 (500) + 28 (500)+3000 12500+1250+14000+3000 30750 C(100) 0.0001(100) +0.005(100) +28(100)+3000 = 100+50+2800+3000 = 5950 Hence f(b)-f(a) У b-а f(500)-f(100) 500-100 30750-5950 500-100 24800 400 6200 fullscreen

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### Calculus 