1) When the relevant cost index seven years ago was 135, a nuclear centrifuge cost \$47,000. The centrifuge had a capacity of separating 3200 gallons of ionized solution per hour. Today it is desired to build a centrifuge with capacity of 7,600 gallons per hour, but the cost index now is 420. Assuming a power-sizing exponent to reflect economies of scale, $x$, of 0.61. Use the power sizing model to determine the approximate cost (expressed in today's dollars) of the new reactor.