I have always had a problem determining the number of factories that will be required to produce products for my cities. I tend to over produce and then pottery or beer just stacks up in the storage yards. I decided to take a shot at a table that would give me the basic requirements for everything. Tell me if it is useful and I will try to come up with other "applied information" tables like this for other areas in the game. In fact if you have an idea for a type of table, send a message.

Yearly Production for 1000 People
This table shows the requirements to support 1000 people at the various housing levels. I selected a thousand as the base number primarily because it is then easy to figure the production needs for larger groups. For example if I want a city of 3000 people, just multiply the various table values by 3. I also liked 1000 because I tend to use variations on Grumpus the Elder's city block design. That design is based on housing a bit more than 1000 people and the building requirements are similar to the ones I have selected.

I make a number of assumptions in this table. Firstly, for housing where 1x1 sized homes are possible, I assume for the table that there are an average of two 1x1 homes for every one 2x2 home. The total number of homes can then be calculated as 50% of the number of housing tiles. I got this ratio from looking at a number of my cities and it seems very close to true in every case. I also assume that once you reach the Common Residence level, you "upgrade" all homes to 2x2. This upgrade is good for a number of reasons (as you can see in the table), and are also discussed in Brugle's excellent thread on this board.

Another assumption is that one school, library, mortuary, and senet house are required for support of these people. Depending upon your city design, you may need to slightly change the values in this table to fit your own style. This was included so that the requirement for the various products used by these building could be included in the table. Because these requirements change for the different difficuly levels, I have included two tables; one for the "Normal" level and one for "Hard". I can produce tables for the other levels if needed.

The final assumption is that the city tax rate is set to 10%. This is not a number I use, but it does make figuring out the value for other tax rates a bit easier. For example: to get the taxes on a Common Residence at a 9% tax rate take the table value (1650) and subtract 10% of that (165) to get 1485 = 1650 - 165. You can also do the same work on a calculator by multiplying the table value by 0.9 for 9%(or 1.2 for a tax rate of 12%, or 1.4 for a tax rate of 14%, you get the idea).

The equations used for this table are:
# Homes(up to Spacious Apartment) = (Total Pop / Pop per Home tile) * 50%
# Homes(Common Residence and beyond) = Total Pop / Pop per Home
Taxes = Total Pop * Housing Tax Multiplier * 10(% City Tax Rate) * 0.055
Food = Total Pop * 1/4 food per Pop per month * 12 months
Products = (Special Building Requirements + Number of Homes * 2 product per month) * 12 months
Factories = Required Product / (47.1 Products per month * 12 months)

Mmmmm mmmm, this table is so chock-full of nerdy goodness. I have stolen much of the information used here from other people on this forum; noteably Grumpus, Brugle, and Nero Would. Otherwise I would have had to go and figure things out for myself! But I do hope this table helps someone out there other than myself. Cya
-Nerdicus

Yearly Production for 1000 People (Difficulty = Normal)
Housing Level Pop # of Home Tax
(10%)
Food Pottery Beer Papyrus Linen Luxury Goods
# Fac # Fac # Fac # Fac # Fac
Crude Hut 5 100.0 550 Nothing
Sturdy Hut 7 71.4 550 Water
Meager Shanty 9 55.6 550 3000 Food
Common Shanty 11 45.5 550 3000 1 God
Rough Cottage 13 38.5 1100 3000 Water Supply
Ordinary Cottage 15 33.3 1100 3000 Entertainment
Modest Homestead 16 31.3 1100 3000 750 1.33 Pottery
Spacious Homestead 17 29.4 1100 3000 706 1.25 Physician
Modest Apartment 18 27.8 1650 3000 667 1.18 667 1.18 Beer
Spacious Apartment 19 26.3 1650 3000 632 1.12 632 1.12 Courthouse
Common Residence 80 12.5 1650 3000 300 0.53 300 0.53 120 0.21 Scribal School
Spacious Residence 84 11.9 1650 2x1500 286 0.51 286 0.51 120 0.21 Dentist, 2 Food
Elegant Residence 88 11.4 2200 2x1500 273 0.48 273 0.48 120 0.21 273 0.48 Linen
Fancy Residence 92 10.9 2200 2x1500 261 0.46 261 0.46 120 0.21 261 0.46 2 Gods
Common Manor 100 10.0 5500 2x1500 240 0.43 240 0.43 120 0.21 240 0.43 240 0.43
Spacious Manor 108 9.3 6050 2x1500 222 0.39 222 0.39 120 0.21 462 0.82 222 0.39
Elegant Manor 116 8.6 6600 2x1500 207 0.37 207 0.37 360 0.64 447 0.79 207 0.37
Stately Manor 124 8.1 7150 2x1500 194 0.34 434 0.77 360 0.64 434 0.77 194 0.34
Modest Estate 184 5.4 8250 2x1500 130 0.23 370 0.66 360 0.64 370 0.66 2x65 0.12
Palatial Estate 200 5.0 8800 3x1000 120 0.21 360 0.64 360 0.64 360 0.64 2x60 0.11
Yearly Production for 1000 People (Normal), Version 1.10 - Last updated 2000Jan21 by Nerdicus.
The following assumptions are made for this table:
For housing levels where a 1x1 home is possible, a ratio of two 1x1 homes to one 2x2 home is used.
I assume that one each of the following buildings are needed for these 1000 people. At normal difficulty these buildings use the listed supplies per month: SenetHouse=20 Beer, ScribalSchool=10 Papyrus, Library=20 Papyrus, Mortuary=20 Linen.

Yearly Production for 1000 People (Difficulty = Hard)
Housing Level Pop # of Home Tax
(10%)
Food Pottery Beer Papyrus Linen Luxury Goods
# Fac # Fac # Fac # Fac # Fac
Crude Hut 5 100.0 550 Nothing
Sturdy Hut 7 71.4 550 Water
Meager Shanty 9 55.6 550 3000 Food
Common Shanty 11 45.5 550 3000 1 God
Rough Cottage 13 38.5 1100 3000 Water Supply
Ordinary Cottage 15 33.3 1100 3000 Entertainment
Modest Homestead 16 31.3 1100 3000 750 1.33 Pottery
Spacious Homestead 17 29.4 1100 3000 706 1.25 Physician
Modest Apartment 18 27.8 1650 3000 667 1.18 667 1.18 Beer
Spacious Apartment 19 26.3 1650 3000 632 1.12 632 1.12 Courthouse
Common Residence 80 12.5 1650 3000 300 0.53 300 0.53 240 0.43 Scribal School
Spacious Residence 84 11.9 1650 2x1500 286 0.51 286 0.51 240 0.43 Dentist, 2 Food
Elegant Residence 88 11.4 2200 2x1500 273 0.48 273 0.48 240 0.43 273 0.48 Linen
Fancy Residence 92 10.9 2200 2x1500 261 0.46 261 0.46 240 0.43 261 0.46 2 Gods
Common Manor 100 10.0 5500 2x1500 240 0.43 240 0.43 240 0.43 240 0.43 240 0.43
Spacious Manor 108 9.3 5500 2x1500 222 0.39 222 0.39 240 0.43 702 1.24 222 0.39
Elegant Manor 116 8.6 6600 2x1500 207 0.37 207 0.37 720 1.28 687 1.22 207 0.37
Stately Manor 124 8.1 6600 2x1500 194 0.34 674 1.19 720 1.28 674 1.19 194 0.34
Modest Estate 184 5.4 8250 2x1500 130 0.23 610 1.08 720 1.28 610 1.08 2x65 0.12
Palatial Estate 200 5.0 8800 3x1000 120 0.21 600 1.06 720 1.28 600 1.06 2x60 0.11
Yearly Production for 1000 People (Hard), Version 1.10 - Last updated 2000Jan21 by Nerdicus.
The following assumptions are made for this table:
For housing levels where a 1x1 home is possible, a ratio of two 1x1 homes to one 2x2 homes is used.
I assume that one each of the following buildings are needed for these 1000 people. At hard difficulty these buildings use the listed supplies per month: SenetHouse=40 Beer, ScribalSchool=20 Papyrus, Library=40 Papyrus, Mortuary=40 Linen.

[E1:2000Jan20 Fixed typo in Hard table notes]
[E2:2000Jan21 Added Level Requirements in empty spaces.]
1