Five years ago, when the relevant cost index was 105, a nuclear centrifuge cost $10,500,000. The centrifuge had a capacity of separating 4 litres of ionized solution per second. Today, a centrifuge with a capacity of 6.4 litres per second is needed, but the cost index now is 180. Assuming a power- sizing exponent to reflect economies of scale, x, of 0.72, use the power-sizing model to determine the approximate cost of the new reactor (expressed in today's dollars, rounded to the nearest hundred thousand dollars).

Five years ago, when the relevant cost index was 105, a nuclear centrifuge cost $10,500,000. The centrifuge had a capacity of separating 4 litres of ionized solution per second. Today, a centrifuge with a capacity of 6.4 litres per second is needed, but the cost index now is 180. Assuming a power- sizing exponent to reect economies of scale, x, of 0.72, use the power-sizing model to determine the approximate cost of the new reactor (expressed in today's dollars, rounded to the nearest hundred thousand dollars)