Final answer:
Productivity in the U.S. is measured by the dollar value per hour contributed by workers, excluding government and farming sectors. Historical data shows more than a doubling in productivity since the 1970s, with fluctuations in growth rates over subsequent decades. Comparing productivity levels and growth rates between countries can forecast which will have higher productivity in the future.
Step-by-step explanation:
The productivity measure used commonly in the U.S. reflects the dollar value per hour contributed by a worker to the employer's output. This measure does not include government employees due to the non-market nature of their work, nor does it include farming, which is a minor part of the U.S. economy. Looking at historical data, productivity has more than doubled since the 1970s, suggesting significant improvements in efficiency and output in the non-farming, non-government sectors of the economy.
For worker productivity comparisons, we can compare growth rates over time. For instance, if the productivity level of a Canadian worker is $30 per hour and grows at 1% per year, while a UK worker's productivity is $25 but grows at 3% per year, after five years, the UK worker's productivity would surpass the Canadian worker's. Using the formula for compound growth, P = P0(1 + r)^t, where P is the future productivity level, P0 is the initial productivity level, r is the growth rate, and t is time in years, the calculations would reveal the precise figures.
Moreover, U.S. productivity growth rates have fluctuated, with strong growth in the 1950s, a decline in the 1970s through the 1980s, rising again in the 1990s and early 2000s, with variations in annual rates averaging 3.2% from 1950 to 1970, then slowing to 1.9% from 1970 to 1990, and climbing back over 2.3% from 1991 onwards, with a slight slowdown after 2001. Monitoring productivity trends is crucial for understanding economic health and potential for future growth.