Calculate the values listed below for a system has only two generating power plants with system$2=6\mathrm{.}5$ LE$/$ MWh$.$The loss coefficients are: $11=0\mathrm{.}001$ MW$\text{'}!,$ B$12=0\mathrm{.}00,$ and $22=0\mathrm{.}00$Incremental costs with Pr and Pz in megawatts and Fi$,$ Fz in LE$/$hr are:dPa $=0\mathrm{.}007$ P$,+4\mathrm{.}1$ LE$/$MWhdz $=0\mathrm{.}014$ P$2+4\mathrm{.}6$ LE$/$MWhAssume fuel costs at no load of $250$ LE$/$hr$.$ and $125$ LE$/$hr$.$ for plant $1$ and $2,$ respectively.Calculate the following:$($a$)$ Pi$,$ Pe and power delivered to the load for economic dispatch with transmission loss coordinated.$($b$)$ Pi and Pz for the value of power delivered to the load found in part $($a$)$ but with transmission loss not coordinated. Transmission loss must be included, however, in determining the total power input to the system.$($c$)$ Total fuel cost in LE$/$hr$.$ for part $($a$)$ and $($b$).$