can you solve it mathematically and if possible write the EES code for it

Consider a regenerative vapor power cycle with two feedwater heaters, a closed one and an open one, as shown in Figure below. Steam enters the first turbine stage at 150bar,550C, and expands to 30 bar. Some steam is extracted at 30 bar and fed to the closed feedwater heater. The remainder expands through the second-stage turbine to 10 bar, where an additional amount is extracted and fed into the open feedwater heater operating at 10 bar. The steam expanding through the third-stage turbine exits at the condenser pressure of 0.06 bar. Feedwater leaves the closed heater at 250C,150bar, and condensate exiting as a saturated liquid at 30 bar is trapped into the open feedwater heater. Saturated liquid at 10 bar leaves the open feedwater heater. Assume all pumps and turbine stages have an isentropic efficiency of 80%. Plot the processes on the T-s curve and determine the temperature and the entropy for each state and calculate the following for the cycle: (a)the fraction of the steam extracted at state 2 and state 3 . (b) the heat transfer to the working fluid passing through the steam generator, in kJ per kg of steam entering the first stage turbine. (c) the thermal efficiency, and the second law efficiency. (d) the heat transfer from the working fluid passing through the condenser to the cooling water, in kJ per kg of steam entering the first-stage turbine. (e) the second law efficiencies of the turbine. (f) the amount of exergy destruction for the boiler and the condenser assuming a source temperature of 1500K and a sink temperature of 290K