G(t) = \sum_{p=1}^{N^{\uparrow}_P} \left[ 
(R_O -  C^{\uparrow}_{O,p}) \cdot q^{\uparrow}_{O, p} + (R_G - C^{\uparrow}_{G,p}) \cdot  q^{\uparrow}_{G, p} 
- C^{\uparrow}_{L,p} \cdot q^{\uparrow}_{L, p} - C^{\uparrow}_{W,p} \cdot q^{\uparrow}_{W, p}
\right]  
- \sum_{i=1}^{N^{\downarrow}_W} C^{\downarrow}_{W,j} \cdot q^{\downarrow}_{W, i} 
- \sum_{j=1}^{N^{\downarrow}_G} C^{\downarrow}_{G,j} \cdot q^{\downarrow}_{G, j}

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

G(t) = \sum_{p=1}^{N_N^{\rm produparrow}_P} \left[ 
\left[  (R_O -C_O  C^{\uparrow}_{O,p}) + (R_G-C_G - C^{\uparrow}_{G,p}) \cdot GOR Y_{g,p} \right]  \cdot  (1- Y_{w,p}) 
- (C_L + C_W C^{\uparrow}_{L,p} \cdot q^{\uparrow}_{L, p} - C^{\uparrow}_{W,p} \cdot Y_{w)    ,p} 
\right]  \cdot q^{\uparrow}_{L, p}
- \sum_{i=1}^{NN^{\downarrow}_{W,} C^{\rm inj}} Cdownarrow}_{W,j} \rm inj} cdot B_w \cdot q^{\downarrow}_{Ww, i} 
- \sum_{j=1}^{NN^{\downarrow}_{G,} C^{\rm inj}} Cdownarrow}_{G,j} \rm inj}  cdot B_g \cdot q^{\downarrow}_{Gg, i} \rightarrow \rm max
j}