The number of tubs that each of them sold is; 24 tubs each
The number of days it will take for both of them to sell same amount of tubs is; 4 days
Number of cookies that Nicole had already sold = 4 tubs
Number of cookies sold by Josie before counting = 0 cookies
Nicole now sells 5 tubs per day and
Josie now sells 6 tubs per day.
Let the number of days it will take for them to have sold the same amount of cookies be d.
Thus;
5d + 4 = 6d + 0
6d - 5d = 4
d = 4 days
Thus, total number of cookies for both are;
Total for Nicole = 4 + 5(4) = 24 cookies
Total for Josie = 6(4) = 24 cookies
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In order to develop this problem it is necessary to take into account the concepts related to fatigue and compression effort and Goodman equation, i.e, an equation that can be used to quantify the interaction of mean and alternating stresses on the fatigue life of a materia.
With the given data we can proceed to calculate the compression stress:



Through Goodman's equations the combined effort by fatigue and compression is expressed as:

Where,
Fatigue limit for comined alternating and mean stress
Fatigue Limit
Mean stress (due to static load)
Ultimate tensile stress
Security Factor
We can replace the values and assume a security factor of 1, then

Re-arrenge for 

We know that the stress is representing as,

Then,
Where
=Max Moment
I= Intertia
The inertia for this object is

Then replacing and re-arrenge for 



Thereforethe moment that can be applied to this shaft so that fatigue does not occur is 3.2kNm
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