A person walks 4 min to get supplies, then 2 min ro assemble. If you cut 3 min of walking time, how much more can you produce?

4 + 2 = 6

1 + 2 = 3

Meaning, you can now do this walk, assemble, task twice. in the same amount of time as you used to do it once.

That is a 100% increase in production

Within a 6 minute period, you can complete 1 item.

If you cut walking time down by 3 minutes, each item takes 3 minutes to complete, so in that same time period you can complete 2 items.

That's an increase of 100%. I'm not understanding why the answer should be 50%.

%change=100(final-initial)/initial....

final=1/(6-3)=1/3 and initial=1/6 (for production per minute) so

100(1/3-1/6)/(1/6)=%change

100(1/6)/(1/6)=100%

So you can produce 100% more or twice as much as you originally could NOT 50% more.

check...

1/(6-3)=1/3 was the new production level

1/6 was the original production level

(1/3)/(1/6)=(1/3)(6/1)=6/3=2

So you can produce twice as much....

A fifty percent increase would be:

(1u/6min)(1.5)=1.5/6=3/12=1u/4min

It states that the final condition is 1u/3min which agrees with a 100% increase...

(1u/6min)2=2u/6min=1u/3min