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The Robot Factory

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by

Britney Guedes

on 5 December 2014

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Transcript of The Robot Factory

The Robot Factory
By Britney Guedes
Problem 1
Equations
Plan 1: Y=35x+15000
Plan 2: Y=280x
1 Robot & 1 Worker
8 Workers
m=35 b=1500
m=280 b=0
After about how many hours will the plans be the same cost?
6.22 Hours
Work
35x+1500=280x
-35x
-35x
1500=245x
245 245
x=61.22
After 5000 hours which plan will be most cost effective?
How much would you save?
The first plan would be most cost effective and you would save $1,210,000
Work
35(5000)+15,000=280(5000)
175,000+15,000=1,400,000
190,000 = 1,400,000

1,400,000-190,000
1,210,000
(61.22, 17,142.48)
After 61.22 hours they will have spent the same.
It will cost $17,142.48 when they both spend the same
Problem 2
Plan 1:Y=80x+65000
Equations
A robot and 4 workes
Plan 2:Y=120x
6 Workers
After how many hours will the plans have the same cost?
m=80 b=65000
m=120 b=0
1625 Hours
Work
80x+65000=120x
-80x -80x
65000=40x
40 40
x=1625
After 2000 hours which plan would be most cost effective?
How much would you save?
The first plan would be most cost effective and you would save $15,000
Work
80(2,000)+65,000=120(2,000)
160,000+65,000=240,000
225,000=240,000

240,000-225,000
15,000
(1625, 195,000)
After 1625 hours they will have spent the same.
It will cost $195,000 when they both spend the same.
Full transcript