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LaTeX Math Block
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EG = \sum_{p=1}^{N_{\rm prod}} \left[ R_O \cdot q^{\uparrow}_{O, p} + R_G \cdot  q^{\uparrow}_{G, p} \right] 
- \sum_{p=1}^{N_{\rm prod}} C_L  \cdot q^{\uparrow}_{L, p}
- \sum_{p=1}^{N_{\rm prod}} C_O  \cdot q^{\uparrow}_{O, p}
- \sum_{p=1}^{N_{\rm prod}} C_G  \cdot q^{\uparrow}_{G, p}
- \sum_{p=1}^{N_{\rm prod}} C_W  \cdot q^{\uparrow}_{W, p}
- \sum_{i=1}^{N_{W, \rm inj}} C_{W, \rm inj}  \cdot q^{\downarrow}_{W, i}
- \sum_{j=1}^{N_{G, \rm inj}} C_{G, \rm inj}  \cdot q^{\downarrow}_{G, i} \Rightarrowrightarrow \rm max

where

LaTeX Math Inline
bodyq^{\uparrow}_{O, p}

oil production rate for 

LaTeX Math Inline
bodyp
-th producer, volume/day

LaTeX Math Inline
bodyC_O

cost of oil treatment, cash/volume

LaTeX Math Inline
bodyR_O

oil price, cash/volume

LaTeX Math Inline
bodyq^{\uparrow}_{G, p}

gas production rate for 

LaTeX Math Inline
bodyp
-th producer, volume/day

LaTeX Math Inline
bodyC_G

cost of gas treatment, cash/volume

LaTeX Math Inline
bodyR_G

gas price, cash/volume

LaTeX Math Inline
bodyq^{\uparrow}_{W, p}

water production rate for 

LaTeX Math Inline
bodyp
-th producer, volume/day

LaTeX Math Inline
bodyC_W

cost of water treatment, cash/volume

LaTeX Math Inline
bodyq^{\uparrow}_{L, p}

liquid production rate for 

LaTeX Math Inline
bodyp
-th producer, volume/day

LaTeX Math Inline
bodyC_L

cost of fluid lift, cash/volume

LaTeX Math Inline
bodyq^{\downarrow}_{W, i}

water injection rate for 

LaTeX Math Inline
bodyi
-th water injector, volume/day

LaTeX Math Inline
bodyC_{W, \rm inj}

cost of water injection, cash/volume

LaTeX Math Inline
bodyq^{\downarrow}_{G, i}

gas injection rate for 

LaTeX Math Inline
bodyi
-th gas injector, volume/day

LaTeX Math Inline
bodyC_{G, \rm inj}

cost of gas injection, cash/volume

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