A food processing facility requires medium pressure $(0\mathrm{.}6$MPa$)$ steam for process heat and simultaneously wants to produce power for its facility. They have chosen to employ a co$$generation Rankine cycle for this purpose, using water as the working fluid. To minimize cost, the facility has chosen to install fixed valving for the process heat steam extraction. The valving is configured such that $25\%$ of the steam produced by the boiler is extracted for the $8600$kW process heating application. The boiler operates at $7$MPa while the condenser pressure is $10$kPa. Assume that all working fluid latent heat is utilized in the process heating application, and the extracted mass flow recombines with the feedwater as a saturated liquid. If turbine inlet temperature is limited to $500\backslash$deg C$,$ determine $($i$)$ an appropriate T$$s diagram for the cycle $($with states matching the device diagram as provided$),($ii$)$ the mass flow of feedwater through the boiler $[$kg$/$s$],($iii$)$ the net work for the cycle $[$kW$],$ and $($iv$)$ the cycle$$s utilization. Use the device diagram below to aid your analysis: