A large food processing plant requires 2 lb/sec of saturated steam or slightly superheated steam at 80 psi, which is extracted from the turbine of a cogeneration plant. The boiler generates steam at 1000 psi and 1000 degrees F at a rate of 5 lb/sec, and the condenser pressure is 2 psi. Steam leaves the process heater as a saturated liquid. It is then mixed with the feedwater at the same pressure and this mixture is pumped to the boiler pressure. Assuming both the pumps and the turbine have isentropic efficiencies of 86 percent, determine the rate of heat transfer to the boiler and the power output of the cogeneration plant and the utilization factor.