An area of the interconnected power system has two thermal units operating on economic dispatch. The fuel costs of these units are: F₁​=0.22P₁²+10.2P₁ ​F₂​=0.25P₂²​+8.4P₂​​$/hr$/hr​ P₁​&P₂ are in MW. The total transmission loss for the system is Pₗ​=2.5×10⁻⁴P₁²​+3.8×10⁻⁵P₂² ​MW At the system λ=$/25MW⋅hr​, Determine : i. The output of each unit. ii. The total transmission loss. iii. The total load demand. iv. The total operating cost.