Option e asks us to investigate how the cycle efficiency changes with the value of q, and what parameter we could change to increase or decrease q. In a steam power plant, the thermal efficiency is given by: n = 1- (Q_out / Q_in) where Q_in is the heat added to the system in the boiler, and Q_out is the heat rejected in the condenser. In this problem, we are interested in how the efficiency changes with the value of q, which is the heat added in the boiler.Assuming that all other parameters remain constant, we can differentiate the efficiency with respect to q to find the rate of change of the efficiency with respect to the heat input: dn / dq = -d(Q_out) / dq / Q_in To increase or decrease the heat input, we can adjust the parameter at the exit of the turbine. Since the steam leaving the turbine is a saturated mixture, we can adjust the quality (x) of the steam leaving the turbine to change the heat input. Increasing the quality of the steam leaving the turbine will increase the heat input, while decreasing thequality will decrease the heat input. The change in the heat input due to a change in quality can be calculated using the following equation: Aq = h_1 - h_2 where h_1 and h_2 are the specific enthalpies of the steam at the turbine inlet and outlet, respectively. The specific enthalpies can be obtained from the steam tables in the textbook. Now that you know the answer for part (e) of Problem you decide to study the effect of quality of the saturated mix on cycle thermal efficiency. Using the definition of thermal efficiency as a function of heat supplied to the cycle and heat rejected from the cycle you find that a computation for the thermal efficiency is possible using enthalpy values for the inlet and exit of the devices (h, h, h and h) provided you make reasonable assumptions. As part of your job, you must present to your management results showing an equation and a plot in which you will show the governing equation for the thermal efficiency as a function of the quality of the saturated mix at the exit of the turbine when it ranges from 65% to 100% in intervals of 1%. To generate your plot, you may use MATLAB or any other software; please include a screenshot of your code and a computer generate code. Using your plot, what is the theoretical quality that will lead to the maximum thermal theoretical efficiency? Using your plot, comment whether the trends in the plots can be explained with theory. Will the cycle be reversible, irreversible, or impossible when the quality at the exit of the turbine is 70% and when it is 92%? In your plot include the names of the variables on the axis with units, the quality needs to be plotted on the horizontal axis. Hints: you discovered in your governing equation that you need the value for the enthalpy at the exit of the pump, h. To determine h you can use equation (3-9) from your textbook, not the approximation in equation 3-8. Alternatively, you can obtain the same when you apply an energy balance for an adiabatic pump with negligible changes in kinetic and potential energy and expand the enthalpy variable in terms of the properties that define it (h = u + Pv). Next consider that during the pumping process the change in temperature for the water is negligible; from this you can get an expression to compute h which will be identical to the expression you found with the first hint.