Company Z has the following historical information about sales for one of its hydraulic pump models for the last 4 years: (PICTURE OF THE PERIOD AND YEARS) On the other hand, the manufacturing process used by Company Z is sequential* and has the following characteristics: (THE OTHER IMAGE) * Sequential; in the sense that the output of Mi is the input of Mi+1. ** In any order; in the sense that they can be interchanged, e.g. MA -> MB or MB -> MA. The company's operating costs are as follows: Cost per final unit produced "defect free": $100 Cost per final unit produced "with defects": $150 Cost per excess inventory (units "free of defects"): $50 Cost per inventory shortage ("defect free" units): $200 Revenue per final "defect free" unit produced and sold: $250 We have the following operating conditions: - Any sequence of 3 machines can be used. - Only one machine can be used once, within the same sequence of machines. - You can work UP TO 720 hours per month. - A "level production" type production strategy is followed. ------------------------------------------------------------------------------------- In both cases PROVE that both sequences meet the requirements of being the 1st and 2nd best sequences.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Company Z has the following historical information about sales for one of its hydraulic pump models for the last 4 years:

(PICTURE OF THE PERIOD AND YEARS)


On the other hand, the manufacturing process used by Company Z is sequential* and has the following characteristics:

(THE OTHER IMAGE)

* Sequential; in the sense that the output of Mi is the input of Mi+1.
** In any order; in the sense that they can be interchanged, e.g. MA -> MB or MB -> MA.


The company's operating costs are as follows:

Cost per final unit produced "defect free": $100

Cost per final unit produced "with defects": $150

Cost per excess inventory (units "free of defects"): $50

Cost per inventory shortage ("defect free" units): $200

Revenue per final "defect free" unit produced and sold: $250


We have the following operating conditions:


- Any sequence of 3 machines can be used.
- Only one machine can be used once, within the same sequence of machines.
- You can work UP TO 720 hours per month.
- A "level production" type production strategy is followed.

-------------------------------------------------------------------------------------
In both cases PROVE that both sequences meet the requirements of being the 1st and 2nd best sequences.

period
year
1
2
3
4
1
1800
1950
2050
1900
Transcribed Image Text:period year 1 2 3 4 1 1800 1950 2050 1900
Machines THAT CAN be used in any order**.
Production rate per machine un/hr
Machine efficiency %
Machine reliability%
M1
M2
M3
М4
4.75 4.25 6.50
1.00 0.85
1.00 0.80
7.00
0.90
0.95
0.70
0.95
Transcribed Image Text:Machines THAT CAN be used in any order**. Production rate per machine un/hr Machine efficiency % Machine reliability% M1 M2 M3 М4 4.75 4.25 6.50 1.00 0.85 1.00 0.80 7.00 0.90 0.95 0.70 0.95
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