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The incremental costs (in Rupees/MWh) of operating two generating units are functions of their respective powers $P_{1}$ and $P_{2}$ in $MW$, and are given by

$\dfrac{dC_{1}}{dP_{1}}=0.2P_{1}+50$

$\dfrac{dC_{2}}{dP_{2}}=0.24P_{2}+40$

where

$20MW \leq P_{1} \leq 150MW$

$20MW \leq P_{2} \leq 150MW$

For a certain load demand, $P_{1}$ and $P_{2}$ have been chosen such that $dC_{1}/dP_{1} = 76$ Rs/MWh and $dC_{2}/dP_{2} = 68.8$ Rs/MWh. If the generations are rescheduled to minimize the total cost, then $P_{2}$ is ________.
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