Company Z has the following historical information about sales for one of its hydraulic pump models.

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

* 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.

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WHAT NEEDS TO BE DONE:
Establish the 1st and 2nd best machine sequence that allows company Z to obtain higher profits (profit = total revenue - total costs) for a hypothetical 5th year.

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

 
 

1 year 1 1800 period 2 1950 3 2050 4 1900