MHB HELP How to calculate wage for assistants at hair salon?

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The discussion focuses on creating a fair wage distribution system for assistants in a hair salon, where stylists currently share the cost of assistants' wages equally, regardless of their hours worked. The goal is to develop a formula that calculates each stylist's contribution based on the actual hours they worked alongside the assistants. Using an example, one participant suggests calculating total assistant hours worked and then determining each stylist's share based on their individual hours. This method aims to ensure that stylists only pay for the assistance they utilized during their shifts. The conversation highlights the need for a more equitable payment structure to reflect the stylists' varying workloads.
Annabanana
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Hello! So I'm not sure if this is the right forum or thread to ask this question but I really need help figuring out a formula in a work context. Please help if you are able!

My mother owns a hair salon where the stylists share the help of several assistants. There are 4 stylists and 4 assistants. My mom wants to change the system for paying out the assistants, because currently the assistants make \$12 an hour and the stylists all pay an equal fraction of their wage REGARDLESS of how many hours each stylist worked. So even if a stylist was out sick for a week or if they had a very slow week of work, she is still responsible for paying out a fraction of the assistants' wages.

We are trying to figure out a chart or formula for paying out the assistants based on how many hours were worked that day or that week by the stylist. Where we get stuck is when we try to account for how many stylists are on the floor at any given moment in relation to how many stylists.

For example,

Stylist A: 8AM - 5 PM

Stylist B: 8 AM - 12PM

Stylist C: 10 AM - 12 PM

Stylist D: 10 AM - 4 PM

Assistant 1: 8 AM - 10 AM

Assistant 2: 8 AM - 12PM

Assistant 3: 10 AM - 2 PM

Assistant 4: 12 PM - 3 PMHow do we find a formula/method in whch the stylists are only paying out assistants during the hours the stylists ACTUALLY worked? (Reminder assistants make $12 an hour)

Thank you so much if you took the time to read this and try to help me and my mom! We are both a bit slow with numbers!

- Anna
 
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Using your example data, I would look first at stylist A and see that during their time working, there were 13 hours worked by the assistants. For stylist B this is 8, for C 4 and for D 9. This is a total of 34. Now, the money owed to the assistants in total is 12(13) = 156. And so the amount each stylist should contribute to this fund is:

A: (13/34)156 = 59.65

B: (8/34)156 = 36.71

C: (4/34)156 = 18.35

D: (9/34)156 = 41.29

Is that the kind of thing you're after?
 
This one has me pulling my hair out !
 

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