We find that 10h are required to successfully carburize a batch of 500 steel gears at 900C,where the iron has the FCC structure.We find it costs $ 1000 per hour to operate the carburizing furnance at 900C and $1500 per hour to operate the furnace at 1000C. Is it economical to increase the carburizing temperature to 1000C? Justify your answer. The activation energy for difussion of C in Fe is 32,900 cal/mole and R is 1.987 cal/mol.K.