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

  • Thread starter Thread starter Annabanana
  • Start date Start date
  • Tags Tags
    Hair
AI Thread Summary
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
Messages
1
Reaction score
0
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
 
Last edited by a moderator:
Mathematics news on Phys.org
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 !
 
Thread 'Video on imaginary numbers and some queries'
Hi, I was watching the following video. I found some points confusing. Could you please help me to understand the gaps? Thanks, in advance! Question 1: Around 4:22, the video says the following. So for those mathematicians, negative numbers didn't exist. You could subtract, that is find the difference between two positive quantities, but you couldn't have a negative answer or negative coefficients. Mathematicians were so averse to negative numbers that there was no single quadratic...
Thread 'Unit Circle Double Angle Derivations'
Here I made a terrible mistake of assuming this to be an equilateral triangle and set 2sinx=1 => x=pi/6. Although this did derive the double angle formulas it also led into a terrible mess trying to find all the combinations of sides. I must have been tired and just assumed 6x=180 and 2sinx=1. By that time, I was so mindset that I nearly scolded a person for even saying 90-x. I wonder if this is a case of biased observation that seeks to dis credit me like Jesus of Nazareth since in reality...
Thread 'Imaginary Pythagoras'
I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...
Back
Top