Surge
Brigadier-General
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Calculating The Amount of Forge Points Purchased in Total
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Hello community. Today I'd like to share a simple formula I have created to find out the amount of forge points you have purchased. Keep in mind this does not track how many you have purchased using diamonds. This formula relies on coin costs. Of course, this isn't a guide to help make you better at the game (like my coin guide). This formula is just here to feed the curious. The formula is as follows:
For Variables, let...
x = The current cost for the next forge point
n = The amount of forge points you have purchased
x = 200 + (50 ∙ n)
If you are a bit lazy and want a computer to calculate this for you, use FacetiousMike's Forge Point Calculator. You will need to click "edit in browser" and then edit the numeric values in the green boxes. Credits to FacetiousMike for this handy tool.
If you want to solve this manually, though, here is a short tutorial on how to solve this.
Finding the value for the variable 'x' is very easy. Simply click on the '+' sign next to the forge point bar. Then, look at the button to the left of the large box that has opened, and the price for the next forge point is printed on the button. For my current situation, the cost for the next forge point is 18,850 coins. I now have my 'x' variable. Now we plug in this value for x, as follows:
18,850 = 200 + (50 ∙ n)
Next, we subtract both sides by 200, to leave the (50 ∙ n) bit alone.
18,850 - 200 = 50 ∙ n
18,650 = 50 ∙ n
And the last part is to simply divide both sides by 50 to leave the variable 'n' alone.
18,650 / 50 = n
n = 373
Now I have successfully solved the formula and found out that I have purchased 373 points. I can safely say I have accelerated at least 330 hours of progression (I was playing FoE before guilds appeared, so all trading had to be done with forge points).
If you still don't understand how this formula works, here is the simplest explanation I can come up with: The value 200 in the equation is there to add on to the initial cost of 200 coins the very first forge point you buy. Because every forge point you buy increases the cost by 50 coins plus the cost of the forge point you just bought, the (50 ∙ n) helps to see by how much the cost has risen. Without the value of 200 to be added into the product of (50 ∙ n), your answer will always be by 200 coins off, meaning you actually add an extra 4 forge points to your total. As for the variables, I believe the example I have provided above should explain to you.
Now, for the proof that it works with NO forge points bought. This is in the situation of a totally new world being created, which is how no forge points were bought. At this moment, the cost of the next, first forge point is 200, so we have our 'x' value.
200 = 200 + (50 ∙ n)
200 - 200 = 50 ∙ n
0 = 50 ∙ n
0 / 50 = n
n = 0
This shows that there have been NO purchases of forge points at all (save for the diamond purchases... hehehe...). This example shows proof that this formula is genuine and works.
Now it's your turn. I want to know progression curves. Post the cost of your next forge point, your forge points bought and your position in the tech tree (for example: late IA, Early LMA, Mid IndA...)
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Calculating Costs For The Next Set of Forge Points
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Now here is another handy formula provided by byeordie. It helps you calculate how many coins will be spent on the next certain amount of forge points you wish to buy. This works with any value representing the variables, and can even help you determine how many coins you spent on forge points!
For Variables, let...
x = The total cost for the next set of forge points you buy
n = The amount of forge points you are purchasing
s = Starting cost of your forge point
x = n (25n + s - 25)
This one is a little more complicated, but simple nevertheless. Again, if you do not want to solve this manually, you can use FacetiousMike's Forge Point Calculator to quickly solve this and get your answer. Just click "edit in browser" and change the values in the green boxes.
Here is a tutorial on how to use this correctly. Suppose I have a technology I want to finish right now is missing 7 forge points in the bank. My current cost for the next one is 18,850 coins, as in the previous question. First, plug in the values for your variables.
x = 7 (25(7) + 18,850 - 25)
Next, use order of operations to find out the value of what is in the parenthesis and then find the product of 7 and the value you got.
x = 7 (175 + 18,850 - 25)
x = 7 (19,025 - 25)
x = 7 ∙ 19,000
x = 133,000
I found out that in order to complete the technology right now, I need to spend 133,000 coins on forge points. This cost does not include the cost of the technology in question, but you can easily add those two values up.
Now here is an example showing how many coins I have spent on forge points in total. Note that this requires the solution to the first equation so that you can plug in for the variable 'n'.
x = 373 (25(373) + 200 - 25)
x = 373 (9,325 + 200 - 25)
x = 373 (9,525 - 25)
x = 373 ∙ 9,500
x = 3,543,500
It turns out I have spent around three and a half million coins on forge points!
This formula was given by byeordie. All credit for this formula to him.
~Surge
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Calculating The Amount of Forge Points Purchased in Total
-------------------------------------------------------------------------------------------------------------------------------------------------
-------------------------------------------------------------------------------------------------------------------------------------------------
Hello community. Today I'd like to share a simple formula I have created to find out the amount of forge points you have purchased. Keep in mind this does not track how many you have purchased using diamonds. This formula relies on coin costs. Of course, this isn't a guide to help make you better at the game (like my coin guide). This formula is just here to feed the curious. The formula is as follows:
For Variables, let...
x = The current cost for the next forge point
n = The amount of forge points you have purchased
x = 200 + (50 ∙ n)
If you are a bit lazy and want a computer to calculate this for you, use FacetiousMike's Forge Point Calculator. You will need to click "edit in browser" and then edit the numeric values in the green boxes. Credits to FacetiousMike for this handy tool.
If you want to solve this manually, though, here is a short tutorial on how to solve this.
Finding the value for the variable 'x' is very easy. Simply click on the '+' sign next to the forge point bar. Then, look at the button to the left of the large box that has opened, and the price for the next forge point is printed on the button. For my current situation, the cost for the next forge point is 18,850 coins. I now have my 'x' variable. Now we plug in this value for x, as follows:
18,850 = 200 + (50 ∙ n)
Next, we subtract both sides by 200, to leave the (50 ∙ n) bit alone.
18,850 - 200 = 50 ∙ n
18,650 = 50 ∙ n
And the last part is to simply divide both sides by 50 to leave the variable 'n' alone.
18,650 / 50 = n
n = 373
Now I have successfully solved the formula and found out that I have purchased 373 points. I can safely say I have accelerated at least 330 hours of progression (I was playing FoE before guilds appeared, so all trading had to be done with forge points).
If you still don't understand how this formula works, here is the simplest explanation I can come up with: The value 200 in the equation is there to add on to the initial cost of 200 coins the very first forge point you buy. Because every forge point you buy increases the cost by 50 coins plus the cost of the forge point you just bought, the (50 ∙ n) helps to see by how much the cost has risen. Without the value of 200 to be added into the product of (50 ∙ n), your answer will always be by 200 coins off, meaning you actually add an extra 4 forge points to your total. As for the variables, I believe the example I have provided above should explain to you.
Now, for the proof that it works with NO forge points bought. This is in the situation of a totally new world being created, which is how no forge points were bought. At this moment, the cost of the next, first forge point is 200, so we have our 'x' value.
200 = 200 + (50 ∙ n)
200 - 200 = 50 ∙ n
0 = 50 ∙ n
0 / 50 = n
n = 0
This shows that there have been NO purchases of forge points at all (save for the diamond purchases... hehehe...). This example shows proof that this formula is genuine and works.
Now it's your turn. I want to know progression curves. Post the cost of your next forge point, your forge points bought and your position in the tech tree (for example: late IA, Early LMA, Mid IndA...)
-------------------------------------------------------------------------------------------------------------------------------------------------
-------------------------------------------------------------------------------------------------------------------------------------------------
Calculating Costs For The Next Set of Forge Points
-------------------------------------------------------------------------------------------------------------------------------------------------
-------------------------------------------------------------------------------------------------------------------------------------------------
Now here is another handy formula provided by byeordie. It helps you calculate how many coins will be spent on the next certain amount of forge points you wish to buy. This works with any value representing the variables, and can even help you determine how many coins you spent on forge points!
For Variables, let...
x = The total cost for the next set of forge points you buy
n = The amount of forge points you are purchasing
s = Starting cost of your forge point
x = n (25n + s - 25)
This one is a little more complicated, but simple nevertheless. Again, if you do not want to solve this manually, you can use FacetiousMike's Forge Point Calculator to quickly solve this and get your answer. Just click "edit in browser" and change the values in the green boxes.
Here is a tutorial on how to use this correctly. Suppose I have a technology I want to finish right now is missing 7 forge points in the bank. My current cost for the next one is 18,850 coins, as in the previous question. First, plug in the values for your variables.
x = 7 (25(7) + 18,850 - 25)
Next, use order of operations to find out the value of what is in the parenthesis and then find the product of 7 and the value you got.
x = 7 (175 + 18,850 - 25)
x = 7 (19,025 - 25)
x = 7 ∙ 19,000
x = 133,000
I found out that in order to complete the technology right now, I need to spend 133,000 coins on forge points. This cost does not include the cost of the technology in question, but you can easily add those two values up.
Now here is an example showing how many coins I have spent on forge points in total. Note that this requires the solution to the first equation so that you can plug in for the variable 'n'.
x = 373 (25(373) + 200 - 25)
x = 373 (9,325 + 200 - 25)
x = 373 (9,525 - 25)
x = 373 ∙ 9,500
x = 3,543,500
It turns out I have spent around three and a half million coins on forge points!
This formula was given by byeordie. All credit for this formula to him.
~Surge
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