Cost of Cleaning a BuildingDate: 07/03/2003 at 08:44:29 From: Carl Subject: Cleaning a building Hi, I own a cleaning company and am having trouble figuring cost per square foot. If I clean a 3200 square foot building five nights per week for a sum of $575.00 per month, what is the cost per square foot? I also need a formula for figuring out future bids for buildings with different square footage and different numbers of days per month. Thank you for your help. Regards, Carl Date: 07/03/2003 at 11:38:45 From: Doctor Ian Subject: Re: Cleaning a building Hi Carl, If you clean a 3200 square foot building five nights per week for a sum of $575.00 per month, the cost per square foot would be 575 dollars 575 ------------ = ---- dollars per square foot 3200 sq feet 3200 For formulas for future buildings, as in the example above, you divide the number of dollars you're going to charge by the number of square feet to get the cost per square foot. I'm not sure how days per month figures into it, but if you'd like to tell me more, perhaps I can help with that. - Doctor Ian, The Math Forum http://mathforum.org/dr.math/ Date: 07/03/2003 at 16:39:41 From: Carl Subject: Cleaning a building Thanks for you response. I currently clean a building that is 3200 sq.ft., 5 times per week, for a sum of $575.00 per month. I am trying to bid another building that is 4000 sq.ft. and they only want it cleaned once a week. So I need to figure out a formula of cost per square foot per day so I can multiply that figure times the days and the square feet to come up with a comparable quote for this building. I tried 3200 sq. ft. divided by $575.00 divided by 20 days and came up with .28 cents per square foot, but when I reversed the problem to check my math it did not work. If it helps, I also clean a 2500 square foot building 5 times a week for $350.00 and a 1008 square foot building twice a week for $300.00, but all pricing thus far has been done by guess and it is time to come up with a formula. Thanks for your help. Carl Date: 07/03/2003 at 19:48:17 From: Doctor Ian Subject: Re: Cleaning a building Hi Carl, Is the idea that you want to get the same amount of money for the same amount of work? If so, then this ratio cost ---------------- area * cleanings has to remain constant. For example, suppose you increase the area from 3200 sq ft to 4000 sq ft, but cut the number of cleanings by a factor of 5 (from 5 times per week to 1 time per week). Then 575 ? -------- = -------- 3200 * 5 4000 * 1 To solve this, you can multiply both sides by the denominator on the right to get 575 * 4000 * 1 -------------- = $143.75 3200 * 5 To work it out using a different building, the formula is (current cost) * (new area) * (new cleanings per week) ------------------------------------------------------ (old area) * (old cleanings per week) Let's see how that works out using your other buildings. For the first one, we get 350 * 4000 * 1 -------------- = $112 2500 * 5 For the second, we get 300 * 4000 * 1 -------------- = $595.24 1008 * 2 That looks high, but consider that you're cleaning less than half the area (1008 vs. 2500), less than half as many times (2 times vs. 5 times) for almost the same money ($300 vs. $350). It looks as if you can put in a pretty wide range of bids! Anyway, that's the formula. Let me know if you had trouble following what I did, or using it yourself. I hope this helps! - Doctor Ian, The Math Forum http://mathforum.org/dr.math/ Date: 07/15/2003 at 11:23:47 From: Carl Subject: Thank you (Cleaning a building) Thanks for taking the time to solve my problem. Carl |
Search the Dr. Math Library: |
[Privacy Policy] [Terms of Use]
Ask Dr. Math^{TM}
© 1994-2015 The Math Forum
http://mathforum.org/dr.math/