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Hello everyone, the following article is a copy and paste from a thread i started on the eUS forums a little while ago. That will explain some of the odd formatting as it all doesn't translate well. I hope this causes some people, and some GMs to wake up when it comes to current pricing, but I also hope this helps people. If this is a little too long for you scroll till you see anything that tells you to read here, or just go to the bottom and read the dumbed down version (by request via Scrabman) or the Summary of the article (by request via Beniamino)

After creating my erepublik Force Calculator on GoogleDocs I came to a few revelations. Although these revelations are very simple, and obvious once you think about them. I feel that they have been generally overlooked. I feel it is possible to increase our damage potential in each battle through proper use of our tanks. This could save us Gold if we wanted to cut back, or we could spend the same amount of Gold but take out considerable more damage. The follow are my calculations to see which is the best course of action for any tank. This will include the best way to get the most amount of attacks in per day.

Notice
Although these calculations are correct. My force calculator is flawed. For some unknown reason it is almost always short by exactly 30 points of what your actual damage may be in a battle. If anyone can read this, http://wiki.erepublik.com/index.php/Formulas#Fight , and tell me what i'm doing wrong, please let me know.

I know some (or all.. idk) of this information might be old to our experienced fighters, but hopefully it will be useful


The Numbers

Of course all of these figures are going to be hypothetical, but they work well enough that we can run with them.


STR 5 - Q1 - Q2 - Q3 - Q4 -- Q5 -|
Pvt. -- 47 -- 50 -- 53 -- 56 -- 59 -|
Crp. -- 59 -- 64 -- 69 -- 74 -- 79 -|
Srg. --
Ltn. --
Cpt. --
Col. --
Gen. --
Msl. --


Editors Note: I got about that far into making these tables by hand and then decided to have my python program do it for me. so that will explain the change in format. Also, to make up for the odd 30 points lost in my calculations i just added them to the final numbers

All The Numbers
Wellness is assumed to always be 100 and trivia is assumed to always be correct.

Because all the code was too long I had to move it to a subsequent post.


Okay now that we've got the numbers we can begin to compare the differences in total force taken out relative to the amount of money spent.

Since I am really starting this to go over most efficient weapons used in battle lets take an example out of the pile. Lets go with someone with 8 strength, and a rank of Captain.


Strength 8 Rank 2 Weapon 1.2
Force : 78.0

Strength 8 Rank 2 Weapon 1.4
Force : 86.0

Strength 8 Rank 2 Weapon 1.6
Force : 94.0

Strength 8 Rank 2 Weapon 1.8
Force : 102.0

Strength 8 Rank 2 Weapon 2
Force : 110.0


Now according to these numbers the difference in damage during one fight between a Q5 weapon and a Q1 weapon is 32 points total. Where as the difference between Q5 and Q3 is only 16 points. Now lets go the prices.

Q1 30.3 USDor .48 GOLD Q2 50.5 USDor .81 GOLD Q3 70.7 USDor 1.13 GOLD Q4 119.7 USD or 1.92 GOLD Q5 222.6 USD or 3.56 GOLD Now according to these numbers (which I know are inflated due to scarcity of production, increase in relative demand because of the war, and a hundred other factors. The point is the difference in prices, those relatively stay the same) the difference between a Q5 weapon and a Q1 weapon is 192 USD (3.07G). While the difference between a Q5 and a Q3 is 151 USD (2.41G). Moving along lets now assume that every fight costs at a minimum 2 GOLD. After every fight a tank (or anyone with the funds and the know how) will buy one wellness package to get them back up to 100 wellness before their next fight. This fact alone will maximize their total force dealt. [b]Crunching the numbers[/b] Now what we need to do is find out what is the most efficient course of action. In other words, what will get us the most damage taken out with the least amount of fights. We are at war. We need to take out 5,000 damage from the wall to win the battle. Noone is left but you and an enormous amount of money. lets see what would be the best way to take out that kind of damage. with each type of weapon. 5000 / 110 = 46 Fights with Q5 5000 / 102 = 49 Fights with Q4 5000 / 94 = 53 Fights with Q3 5000 / 86 = 58 Fights with Q2 5000 / 78 = 64 Fights with Q1 Okay now that we know exactly how many fights it would take to take out that much damage we can calculate the cost for each outcome in GOLD. Q5 46 * 2 = 92 GOLD for wellness 46 * 3.56 = 163 GOLD for weapons Total = 255 GOLD for 5000 points of Damage Q4 49 * 2 = 98 GOLD for wellness 49 * 1.92 = 94 GOLD for weapons Total = 192 GOLD for 5000 points of Damage Q3 53 * 2 = 106 GOLD for wellness 53 * 1.13 = 60 GOLD for weapons Total = 166 GOLD for 5000 points of Damage Q2 58 * 2 = 116 GOLD for wellness 58 * .81 = 47 GOLD for weapons Total = 163 GOLD for 5000 points of Damage Q1 64 * 2 = 128 GOLD for wellness 64 * .48 = 31 GOLD for weapons Total = 159 GOLD for 5000 points of Damage So Basically with the was weapons are currently priced it is cheaper to go with Q1 weapons and fight more times then it is to fight with Q5s. So I guess this all comes to down to a matter of time. How much time do you have to battle over and over. If you fight with Q1 weapons instead of Q5s you will need to fight an average of ~18 times more, but (with current prices) you will also save yourself 96 GOLD (6800 USD). [b]Pinching Pennies[/b] Now lets reverse the numbers and work from a certain amount of money instead of from an unlimited amount. This time we will just try to maximize force dealt. I have a feeling the numbers will be similar, but we will find out. Lets say we have 85 GOLD to our name (i'm just gonna assume you can buy weapons for GOLD) and we want to blow all of it for the fame and glory of battle. Now we dont want to just spend all our money on 5 Q5s and not be able to fight anymore, and you certainly don't want to buy a crap load of Q1s and not even do any damage. Lets find out what goes on. [code= 85= n*w + n*2] Q5s 85 = n*3.56 + n*2 85 = 3.56n + 2n 85 = 5.56n 15 = n 85 GOLD can buy 15 Q5 weapons with enough Gold left over to purchase wellness packs for 15 fights Q4s 85 = n*1.92 + n*2 85 = 1.92n + 2n 85 = 3.92n 21 = n 85 GOLD can buy 21 Q4 weapons with enough Gold left over to purchase wellness packs for 21 fights Q3s 85 = n*1.13 + n*2 85 = 1.13n + 2n 85 = 3.13n 27 = n 85 GOLD can buy 27 Q3 weapons with enough Gold left over to purchase wellness packs for 27 fights Q2s 85 = n*.81 + n*2 85 = .81n + 2n 85 = 2.81n 15 = n 85 GOLD can buy 30 Q2 weapons with enough Gold left over to purchase wellness packs for 30 fights Q1s 85 = n*.48 + n*2 85 = .48n + 2n 85 = 2.48n 34 = n 85 GOLD can buy 34 Q1 weapons with enough Gold left over to purchase wellness packs for 34 fights Alright now that we have that information worked out through that formula I devised we can see the damage involved. (Btw I left my formula in there so everyone else can check my math just in case i'm doing it in correctly.) Q5 15 * 110 = 1650 points of damage Q4 21 *102 = 2142 points of damage Q3 27 * 94 = 2538 points of damage Q2 30 * 86 = 2580 points of damage Q1 34 * 78 = 2652 points of damage [b]READ THIS PART[/b] Surprisingly enough, again Q1 weapons end up being the most cost efficient source of weapons out there. This is of course due to the higher supply of Q1s and the lower demand for them. Although if everyone knew this their demand would probably go up. I think the reasons the numbers are this way can be blamed on both GMs charging too much for their products, and the admins for not putting enough emphasis on higher quality weapons in battle. [b]Fighting Strategy[/b] I just thought I would throw this little system I developed in here, because... why not? This is just an example way to get the maximum amount of fights out in one day with no wellness lost. Assuming you start with 100wellness it would go like this. I am also only going to spend 10 gold on wellness packs. Action -- Wellness -- GOLD START -- 100 -- 10 fight -- 90 -- 10 WP -- 100 -- 8 fight -- 90 -- 8 WP -- 100 -- 6 fight -- 90 -- 6 WP -- 100 -- 4 fight -- 90 -- 4 WP -- 100 -- 2 fight -- 90 -- 2 WP -- 100 -- 0 fight -- 90 -- 0 fight -- 80 -- 0 fight -- 70 -- 0 fight -- 60 -- 0 fight -- 50 -- 0 Hospital -- 100 -- 0 fight -- 90 -- 0 gift -- 100 -- 0 (fight -- 90 -- 0) lol the last fight is optional. just depends on if you want 90 or 100 wellness at the end of the day. With that obvious system (i'm sure i'm not the first to use it. With only 10 Gold a day in wellness packs you can fight 10 times :D. Now I could go back into exactly how much damage would be dealt over all , but i'm sure you all get the picture by now [b]Should I do more with this?[/b] Since I made the majority of these calculations in python and then by hand to double check. I'm debating on just creating another type of Calculator that will always give you the best weapon to buy in any situation. It will give you the amount of fights you need, all that good stuff. [b]DUMB-ED DOWN VERSION[/b] Q5 COST TOO MUCH Q1 ARE BETTER FOR PPL THAT DONT HAVE LOTS OF MONIES GOVERNMENT SAVE MONEY. MAKE TANKS USE SMALLER Q WEAPONS [b]Summary Version for those who couldn't comprehend the Dumbed Down Version[/b] Simply put. Once you run the numbers you come to the realization that unless you only have 5 mins of time to fight. You will do more damage with less money with a lower Quality weapon. If the price spread stays the way it is now, it will always be better to fight with Q1s over Q2s, and Q2s over Q3s, etc etc. You will need to fight many more individual battles, but in the end more damage has been dealt. This even accounts for the cost of buying wellness packs after each battle. Alright that's all. Enjoy ------------------------------- http://www.erepublik.com/en/citizen/profile/209521[code= Current Market Price for Weapons in USD and GOLD ]
Q1
30.3 USDor .48 GOLD
Q2
50.5 USDor .81 GOLD
Q3
70.7 USDor 1.13 GOLD
Q4
119.7 USD or 1.92 GOLD
Q5
222.6 USD or 3.56 GOLD


Now according to these numbers (which I know are inflated due to scarcity of production, increase in relative demand because of the war, and a hundred other factors. The point is the difference in prices, those relatively stay the same) the difference between a Q5 weapon and a Q1 weapon is 192 USD (3.07G). While the difference between a Q5 and a Q3 is 151 USD (2.41G).


Moving along lets now assume that every fight costs at a minimum 2 GOLD. After every fight a tank (or anyone with the funds and the know how) will buy one wellness package to get them back up to 100 wellness before their next fight. This fact alone will maximize their total force dealt.


Crunching the numbers
Now what we need to do is find out what is the most efficient course of action. In other words, what will get us the most damage taken out with the least amount of fights.

We are at war. We need to take out 5,000 damage from the wall to win the battle. Noone is left but you and an enormous amount of money. lets see what would be the best way to take out that kind of damage. with each type of weapon.


5000 / 110 = 46 Fights with Q5
5000 / 102 = 49 Fights with Q4
5000 / 94 = 53 Fights with Q3
5000 / 86 = 58 Fights with Q2
5000 / 78 = 64 Fights with Q1


Okay now that we know exactly how many fights it would take to take out that much damage we can calculate the cost for each outcome in GOLD.

Q5
46 * 2 = 92 GOLD for wellness
46 * 3.56 = 163 GOLD for weapons
Total = 255 GOLD for 5000 points of Damage

Q4
49 * 2 = 98 GOLD for wellness
49 * 1.92 = 94 GOLD for weapons
Total = 192 GOLD for 5000 points of Damage

Q3
53 * 2 = 106 GOLD for wellness
53 * 1.13 = 60 GOLD for weapons
Total = 166 GOLD for 5000 points of Damage

Q2
58 * 2 = 116 GOLD for wellness
58 * .81 = 47 GOLD for weapons
Total = 163 GOLD for 5000 points of Damage

Q1
64 * 2 = 128 GOLD for wellness
64 * .48 = 31 GOLD for weapons
Total = 159 GOLD for 5000 points of Damage


So Basically with the was weapons are currently priced it is cheaper to go with Q1 weapons and fight more times then it is to fight with Q5s. So I guess this all comes to down to a matter of time. How much time do you have to battle over and over.
If you fight with Q1 weapons instead of Q5s you will need to fight an average of ~18 times more, but (with current prices) you will also save yourself 96 GOLD (6800 USD).

Pinching Pennies
Now lets reverse the numbers and work from a certain amount of money instead of from an unlimited amount. This time we will just try to maximize force dealt. I have a feeling the numbers will be similar, but we will find out.
Lets say we have 85 GOLD to our name (i'm just gonna assume you can buy weapons for GOLD) and we want to blow all of it for the fame and glory of battle. Now we dont want to just spend all our money on 5 Q5s and not be able to fight anymore, and you certainly don't want to buy a crap load of Q1s and not even do any damage. Lets find out what goes on.
Q5s 85 = n*3.56 + n*2 85 = 3.56n + 2n 85 = 5.56n 15 = n 85 GOLD can buy 15 Q5 weapons with enough Gold left over to purchase wellness packs for 15 fights Q4s 85 = n*1.92 + n*2 85 = 1.92n + 2n 85 = 3.92n 21 = n 85 GOLD can buy 21 Q4 weapons with enough Gold left over to purchase wellness packs for 21 fights Q3s 85 = n*1.13 + n*2 85 = 1.13n + 2n 85 = 3.13n 27 = n 85 GOLD can buy 27 Q3 weapons with enough Gold left over to purchase wellness packs for 27 fights Q2s 85 = n*.81 + n*2 85 = .81n + 2n 85 = 2.81n 15 = n 85 GOLD can buy 30 Q2 weapons with enough Gold left over to purchase wellness packs for 30 fights Q1s 85 = n*.48 + n*2 85 = .48n + 2n 85 = 2.48n 34 = n 85 GOLD can buy 34 Q1 weapons with enough Gold left over to purchase wellness packs for 34 fights Alright now that we have that information worked out through that formula I devised we can see the damage involved. (Btw I left my formula in there so everyone else can check my math just in case i'm doing it in correctly.) Q5 15 * 110 = 1650 points of damage Q4 21 *102 = 2142 points of damage Q3 27 * 94 = 2538 points of damage Q2 30 * 86 = 2580 points of damage Q1 34 * 78 = 2652 points of damage [b]READ THIS PART[/b] Surprisingly enough, again Q1 weapons end up being the most cost efficient source of weapons out there. This is of course due to the higher supply of Q1s and the lower demand for them. Although if everyone knew this their demand would probably go up. I think the reasons the numbers are this way can be blamed on both GMs charging too much for their products, and the admins for not putting enough emphasis on higher quality weapons in battle. [b]Fighting Strategy[/b] I just thought I would throw this little system I developed in here, because... why not? This is just an example way to get the maximum amount of fights out in one day with no wellness lost. Assuming you start with 100wellness it would go like this. I am also only going to spend 10 gold on wellness packs. Action -- Wellness -- GOLD START -- 100 -- 10 fight -- 90 -- 10 WP -- 100 -- 8 fight -- 90 -- 8 WP -- 100 -- 6 fight -- 90 -- 6 WP -- 100 -- 4 fight -- 90 -- 4 WP -- 100 -- 2 fight -- 90 -- 2 WP -- 100 -- 0 fight -- 90 -- 0 fight -- 80 -- 0 fight -- 70 -- 0 fight -- 60 -- 0 fight -- 50 -- 0 Hospital -- 100 -- 0 fight -- 90 -- 0 gift -- 100 -- 0 (fight -- 90 -- 0) lol the last fight is optional. just depends on if you want 90 or 100 wellness at the end of the day. With that obvious system (i'm sure i'm not the first to use it. With only 10 Gold a day in wellness packs you can fight 10 times :D. Now I could go back into exactly how much damage would be dealt over all , but i'm sure you all get the picture by now [b]Should I do more with this?[/b] Since I made the majority of these calculations in python and then by hand to double check. I'm debating on just creating another type of Calculator that will always give you the best weapon to buy in any situation. It will give you the amount of fights you need, all that good stuff. [b]DUMB-ED DOWN VERSION[/b] Q5 COST TOO MUCH Q1 ARE BETTER FOR PPL THAT DONT HAVE LOTS OF MONIES GOVERNMENT SAVE MONEY. MAKE TANKS USE SMALLER Q WEAPONS [b]Summary Version for those who couldn't comprehend the Dumbed Down Version[/b] Simply put. Once you run the numbers you come to the realization that unless you only have 5 mins of time to fight. You will do more damage with less money with a lower Quality weapon. If the price spread stays the way it is now, it will always be better to fight with Q1s over Q2s, and Q2s over Q3s, etc etc. You will need to fight many more individual battles, but in the end more damage has been dealt. This even accounts for the cost of buying wellness packs after each battle. Alright that's all. Enjoy ------------------------------- http://www.erepublik.com/en/citizen/profile/209521[code= 85= n*w + n*2]
Q5s
85 = n*3.56 + n*2
85 = 3.56n + 2n
85 = 5.56n
15 = n
85 GOLD can buy 15 Q5 weapons with enough Gold left over to purchase wellness packs for 15 fights

Q4s
85 = n*1.92 + n*2
85 = 1.92n + 2n
85 = 3.92n
21 = n
85 GOLD can buy 21 Q4 weapons with enough Gold left over to purchase wellness packs for 21 fights

Q3s
85 = n*1.13 + n*2
85 = 1.13n + 2n
85 = 3.13n
27 = n
85 GOLD can buy 27 Q3 weapons with enough Gold left over to purchase wellness packs for 27 fights

Q2s
85 = n*.81 + n*2
85 = .81n + 2n
85 = 2.81n
15 = n
85 GOLD can buy 30 Q2 weapons with enough Gold left over to purchase wellness packs for 30 fights

Q1s
85 = n*.48 + n*2
85 = .48n + 2n
85 = 2.48n
34 = n
85 GOLD can buy 34 Q1 weapons with enough Gold left over to purchase wellness packs for 34 fights


Alright now that we have that information worked out through that formula I devised we can see the damage involved.
(Btw I left my formula in there so everyone else can check my math just in case i'm doing it in correctly.)


Q5
15 * 110 = 1650 points of damage

Q4
21 *102 = 2142 points of damage

Q3
27 * 94 = 2538 points of damage

Q2
30 * 86 = 2580 points of damage

Q1
34 * 78 = 2652 points of damage


READ THIS PART
Surprisingly enough, again Q1 weapons end up being the most cost efficient source of weapons out there. This is of course due to the higher supply of Q1s and the lower demand for them. Although if everyone knew this their demand would probably go up. I think the reasons the numbers are this way can be blamed on both GMs charging too much for their products, and the admins for not putting enough emphasis on higher quality weapons in battle.

Fighting Strategy
I just thought I would throw this little system I developed in here, because... why not? This is just an example way to get the maximum amount of fights out in one day with no wellness lost. Assuming you start with 100wellness it would go like this. I am also only going to spend 10 gold on wellness packs.

Action -- Wellness -- GOLD
START -- 100 -- 10
fight -- 90 -- 10
WP -- 100 -- 8
fight -- 90 -- 8
WP -- 100 -- 6
fight -- 90 -- 6
WP -- 100 -- 4
fight -- 90 -- 4
WP -- 100 -- 2
fight -- 90 -- 2
WP -- 100 -- 0
fight -- 90 -- 0
fight -- 80 -- 0
fight -- 70 -- 0
fight -- 60 -- 0
fight -- 50 -- 0
Hospital -- 100 -- 0
fight -- 90 -- 0
gift -- 100 -- 0
(fight -- 90 -- 0)


lol the last fight is optional. just depends on if you want 90 or 100 wellness at the end of the day. With that obvious system (i'm sure i'm not the first to use it. With only 10 Gold a day in wellness packs you can fight 10 times 😃. Now I could go back into exactly how much damage would be dealt over all , but i'm sure you all get the picture by now

Should I do more with this?
Since I made the majority of these calculations in python and then by hand to double check. I'm debating on just creating another type of Calculator that will always give you the best weapon to buy in any situation. It will give you the amount of fights you need, all that good stuff.

DUMB-ED DOWN VERSION

Q5 COST TOO MUCH

Q1 ARE BETTER FOR PPL THAT DONT HAVE LOTS OF MONIES

GOVERNMENT SAVE MONEY. MAKE TANKS USE SMALLER Q WEAPONS

Summary Version for those who couldn't comprehend the Dumbed Down Version
Simply put. Once you run the numbers you come to the realization that unless you only have 5 mins of time to fight. You will do more damage with less money with a lower Quality weapon. If the price spread stays the way it is now, it will always be better to fight with Q1s over Q2s, and Q2s over Q3s, etc etc. You will need to fight many more individual battles, but in the end more damage has been dealt. This even accounts for the cost of buying wellness packs after each battle.


Alright that's all. Enjoy

---

http://www.erepublik.com/en/citizen/profile/209521