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G(t) = \sum_{p=1}^{N_N^{\rm produparrow}_P} \left[ 
(R_O -C_O  C^{\uparrow}_{O,p}) \cdot q^{\uparrow}_{O, p} + (R_G-C_G - C^{\uparrow}_{G,p}) \cdot  q^{\uparrow}_{G, p} 
- CC^{\uparrow}_{L ,p} \cdot q^{\uparrow}_{L, p} - CC^{\uparrow}_{W,p}  \cdot q^{\uparrow}_{W, p} 
\right]  
- \sum_{i=1}^{NN^{\downarrow}_{W,} \rm inj}} CC^{\downarrow}_{W, \rm injj}  \cdot q^{\downarrow}_{W, i} 
- \sum_{j=1}^{N^{N\downarrow}_{G,} \rm inj}} CC^{\downarrow}_{G, \rm injj}  \cdot q^{\downarrow}_{G, i} \rightarrow \rm maxj}

G = \sum_{p=1}^{N_{\rm prod}} \left[ \left[ (R_O -C_O) + (R_G-C_G) \cdot GOR \right] \cdot  q^{\uparrow}_{O, p}
- (C_L + C_W \cdot Y_w)  \cdot q^{\uparrow}_{L, p}  \right] 
- \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} \rightarrow \rm max

G = \sum_{p=1}^{N_{\rm prod}} \left[ \left[ (R_O -C_O) + (R_G-C_G) \cdot GOR \right] \cdot  (1-Y_w)
- (C_L + C_W \cdot Y_w)    \right] \cdot q^{\uparrow}_{L, 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} \rightarrow \rm max