Finding an avg numerical value

Shika

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Dec 14, 2023
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If I’m loading 16 items onto a trailer, and the cubic measurements are 300 cubic feet on the trailer is full from these items. Is there a combined mathematical equation that I could use to determine loading efficiency using those two numerical values to show work efficiency that wouldn’t be improperly skewed
By the size of the items loaded or the amount of items picked?
 
If I’m loading 16 items onto a trailer, and the cubic measurements are 300 cubic feet on the trailer is full from these items. Is there a combined mathematical equation that I could use to determine loading efficiency using those two numerical values to show work efficiency that wouldn’t be improperly skewed
By the size of the items loaded or the amount of items picked?

There appears to be at least one typo in your posting. (The first "sentence" isn't actually a sentence.) Could you please reply with the full and exact text of the exercise?

When you reply, please include the specific definitions you've been given for "loading efficiency" and "work efficiency", and explain what you mean by "improper skewing". Please also provide a clear listing of your thoughts and efforts so far, so that we can see what's going on. ("Read Before Posting")

Thank you!
 
Good question. What we're looking for is the semi's optimum load configuration (let's call it B).

Stuff that seem important.
1. Max load, M
2. Max space, S
3. Maximum safe load, A
4. Average volume of objects to be loaded, v
5. Average weight of objects to be loaded, w
6. Quantity of objects to be loaded, q
7. Minimum economically viable load, m (weight is what consumes fuel, there's no point huring a semi if a van can do it)
8. Density of loaded objects (weight per unit volume), d

We can see that ...
a) [imath]qv \leq S[/imath]
b) [imath]m < qw \leq A[/imath]
c) Total volume is determined by density of load. [imath]\frac{A}{d} = T_v[/imath], Total volume of load. [imath]q = \frac{T_v}{v}[/imath]
d) You may find that space restrictions may be more important than weight restrictions i.e. the semi will fill up at weights less than full weight capacity, but going by what you see in India and Pakistan, it's the opposite i.e. the semi can carry more than there's space on it. That is to say [imath]qm << A[/imath] and [imath]qv \geq S[/imath], Also, for semis used for industrial purposes, e.g. transporting metallic objects e.g. turbines, these being denser material, the situation maybe reversed.

A typical loading routine could start off with [imath]A/d = T_v[/imath]. We want to maximize load, keeping safety a priority ([imath]money \propto weight[/imath]). Then we find out q, that we do by [imath]T_v/v = q[/imath]. Load on ...
Remember if v is disproportionately large, q will be low and if q is low [imath]qw < m[/imath].
 
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