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Math:Dragon Platebodies: Difference between revisions

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The gp rate, <math> R_{gp} </math> was calculated by finding the profit, <math> P </math> from performing 1 platebody smithing action, and dividing by the total time, <math> T_{tot} </math>, required to perform that action. Note that this is the per second rate, and must be multiplied by 3600 to obtain the hourly rate.
The gp rate, <math> R_{gp} </math> was calculated by finding the profit, <math> P </math> from performing 1 platebody smithing action, and dividing by the total time, <math> T_{tot} </math>, required to perform that action. Note that this is the per second rate, and must be multiplied by 3600 to obtain the hourly rate.


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==== Smithing Time ====
==== Smithing Time ====
The smithing time is simply the time it takes to complete one smithing action. <math> T_{smith} = 2s </math>.
The smithing time is simply the time it takes to complete one smithing action. <math> T_{smith} = 2s </math>.
==== Bonuses ====
<math>
B_s =
\begin{cases}
1 & \text {if signet is not equipped} \\
1.1 & \text {if signet is equipped}
\end{cases}
</math>
<math>
B_m =
\begin{cases}
1 & \text {if mining gloves are not equipped} \\
2 & \text {if mining gloves is equipped}
\end{cases}
</math>
<math>
B_g =
\begin{cases}
0.01 & \text {if gem gloves are not equipped} \\
1 & \text {if gem gloves are equipped}
\end{cases}
</math>
==== Smelting Time ====
==== Smelting Time ====
First, the number of smelting actions required, <math> N_{smelt} </math> is calculated by dividing the average number of ingredients to perform one platebody action, <math> I_{smith} </math>, by the average quantity of bars produced by one smelting action, <math> Q_{smelt} </math>.
First, the number of smelting actions required, <math> N_{smelt} </math> is calculated by dividing the average number of ingredients to perform one platebody action, <math> I_{smith} </math>, by the average quantity of bars produced by one smelting action, <math> Q_{smelt} </math>.
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<math>
<math>
Q_{smelt} =
Q_{smelt} = B_s \left ( 1 + 0.1 \left \lfloor \frac {M_{smelt}+10}{20} \right \rfloor \right )
\begin{cases}
1 + 0.1 \left \lfloor \frac {M_{smelt}+10}{20} \right \rfloor & \text {if signet is not equipped} \\
1.1 \left ( 1 + 0.1 \left \lfloor \frac {M_{smelt}+10}{20} \right \rfloor \right ) & \text {if signet is equipped}
\end{cases}
</math>
</math>


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<math>
<math>
Q_{do} =
Q_{do} = B_mB_s \left ( 1 + P_{ob} + 0.01 \left \lfloor \frac {M_{do}}{10} \right \rfloor \right)
\begin{cases}
1 + P_{ob} + 0.01 \left \lfloor \frac {M_{do}}{10} \right \rfloor & \text {if signet is not equipped} \\
2\left ( 1 + P_{ob} + 0.01 \left \lfloor \frac {M_{do}}{10} \right \rfloor \right ) & \text {if signet is not equipped and mining gloves equipped} \\
1.1 \left ( 1 + P_{ob} + 0.01 \left \lfloor \frac {M_{do}}{10} \right \rfloor \right ) & \text {if signet is equipped} \\
2.2 \left ( 1 + P_{ob} + 0.01 \left \lfloor \frac {M_{do}}{10} \right \rfloor \right ) & \text {if signet and mining gloves are equipped}
\end{cases}
</math>
</math>
<math>
<math>
Q_{ro} =
Q_{ro} = B_mB_s\left ( 1 + P_{ob} + 0.01 \left \lfloor \frac {M_{ro}}{10} \right \rfloor \right)
\begin{cases}
1 + P_{ob} + 0.01 \left \lfloor \frac {M_{ro}}{10} \right \rfloor & \text {if signet is not equipped} \\
2\left ( 1 + P_{ob} + 0.01 \left \lfloor \frac {M_{ro}}{10} \right \rfloor \right ) & \text {if signet is not equipped and mining gloves equipped} \\
1.1 \left ( 1 + P_{ob} + 0.01 \left \lfloor \frac {M_{ro}}{10} \right \rfloor \right ) & \text {if signet is equipped} \\
2.2 \left ( 1 + P_{ob} + 0.01 \left \lfloor \frac {M_{ro}}{10} \right \rfloor \right ) & \text {if signet and mining gloves are equipped}
\end{cases}
</math>
</math>


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Additionally, the quantity of ore per mining action is increased by one:
Additionally, the quantity of ore per mining action is increased by one:
<math>
<math>
Q_{co} =
Q_{co} = B_mB_s \left ( 1 + P_{ob} + 0.01 \left \lfloor \frac {M_{co}}{10} \right \rfloor \right) + 1
\begin{cases}
2 + P_{ob} + 0.01 \left \lfloor \frac {M_{co}}{10} \right \rfloor & \text {if signet is not equipped} \\
1 + 2 \left ( 1 + P_{ob} + 0.01 \left \lfloor \frac {M_{co}}{10} \right \rfloor \right ) & \text {if signet is not equipped and mining gloves equipped} \\
1 + 1.1 \left ( 1 + P_{ob} + 0.01 \left \lfloor \frac {M_{co}}{10} \right \rfloor \right ) & \text {if signet is equipped} \\
1 + 2.2 \left ( 1 + P_{ob} + 0.01 \left \lfloor \frac {M_{co}}{10} \right \rfloor \right ) & \text {if signet and mining gloves are equipped}
\end{cases}
</math>
</math>


Finally the average time to perform a mining action is calculated. This is dependent on the respawn time of the ore, R_{o}, the effective ore health, H_o, and the pickaxe bonus speed (0.5 for dragon), <math> P_{bs} </math>.
Finally the average time to perform a mining action is calculated. This is dependent on the respawn time of the ore, R_{o}, the effective ore health, <math>H_o</math>, and the pickaxe bonus speed (0.5 for dragon), <math> P_{bs} </math>.


<math> T_o = \frac {3(1-P_{bs})H_o+R_o}{H_o} </math>
<math> T_o = \frac {3(1-P_{bs})H_o+R_o}{H_o} </math>
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<math> Q_{gem} =  
<math> Q_{gem} =  
\begin{cases}
B_g \left ( N_{do} + N_{ro} + N_{co} \right )
0.01 \left ( N_{do} + N_{ro} + N_{co} \right ) & \text {gem gloves are not equipped} \\
N_{do} + N_{ro} + N_{co} & \text {gem gloves are equipped}
\end{cases}
</math>
</math>


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<math>  
<math>  
S_{diam} =  
S_{diam} = B_s \frac {2S_{luck}}{I_{luck}}  
\begin{cases}
\frac {2S_{luck}}{I_{luck}} & \text {if signet is not equipped} \\
\frac {2.2S_{luck}}{I_{luck}} & \text {if signet is equipped}
\end{cases}
</math>
</math>


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<math>
<math>
Q_{smith} =
Q_{smith} = B_s \left ( 1 + 0.1 \left \lfloor \frac {M_{smith}+10}{20} \right \rfloor \right )
\begin{cases}
1 + 0.1 \left \lfloor \frac {M_{smith}+10}{20} \right \rfloor & \text {if signet is not equipped} \\
1.1 \left ( 1 + 0.1 \left \lfloor \frac {M_{smith}+10}{20} \right \rfloor \right ) & \text {if signet is equipped}
\end{cases}
</math>
</math>