You want to make 98 items, I
Each item takes 60 parts, P.

At the current state, machine (M) takes 400 seconds to make 1 part. Each time 1 item is made, it is added to the energy unit of machine M so that it takes 2 seconds less to make each part. Assuming Machine M has no limit to how much energy can be put into it as one time, find how long it will take to make 100 items. Assume that each time an item is made, it is automatically added to the energy grid for Machine M, therefore taking no time. Also assume that Machine M can run indefinitely. (So basically, discard any other factors which may take up time).
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tl;dr (too long, didn't read)

60 parts X 98 items = 5880 parts. Each part takes 400 seconds to make. Every 60 parts takes off 2 seconds from the time to make parts.
How long would it take to make 100 items (5880 parts)?

Question

You want to make 98 items, I
Each item takes 60 parts, P.

At the current state, machine (M) takes 400 seconds to make 1 part.  Each time 1 item is made, it is added to the energy unit of machine M so that it takes 2 seconds less to make each part.  Assuming Machine M has no limit to how much energy can be put into it as one time, find how long it will take to make 100 items.  Assume that each time an item is made, it is automatically added to the energy grid for Machine M, therefore taking no time.  Also assume that Machine M can run indefinitely.  (So basically, discard any other factors which may take up time).
------------------------------------------------------------------
tl;dr (too long, didn't read)

60 parts X 98 items = 5880 parts. Each part takes 400 seconds to make. Every 60 parts takes off 2 seconds from the time to make parts.
How long would it take to make 100 items (5880 parts)?

anonymous · Answer

Um... I can't help you so I just fanned you instead... sorry

anonymous · Answer

You don't need to spam it, I can wait

anonymous · Answer

sorry just trying to help

anonymous · Answer

Um... ima lil confused so...

anonymous · Answer

What are you trying to tell me?

anonymous · Answer

Not you in particular, just making the wall of text shorter for anyone else

anonymous · Answer

oh

anonymous · Answer

The time it takes to make a part (Tp) =

$$400 - 2\frac{ x }{ 60 }$$

that's likely wrong.  I'm over complicating this

anonymous · Answer

*for all whole numbers x

anonymous · Answer

@mathmale

anonymous · Answer

Maybe if I take my equation and find the total amount of time saved for all whole numbers x's from 1 to 5880 in a summation... minus the time it takes to make 5880 items without the 2 seconds per 60 parts, I can find the time it takes?

anonymous · Answer

Time it takes to make 5880 parts, assuming no time is saved: 5880 parts X 400 seconds =
2352000 seconds

Time in seconds saved = 1775662

2352000-1775662 = 576338 seconds = 9605.3333 minutes = 160.0938 hours = 6.6705 days