Hi bin, your estimated employment numbers are quite close to reported. Good figure work. The unemployment rate hides the severity of job scarcity in the US, per extract below:
"US unemployment rate went up to 4.9 percent in June 2016 after falling by 0.3 p.p. to 4.7 percent in the previous month. The figure came in worse than market expectations, as more people entered the labor force. The number of unemployed persons increased by 347,000 to 7.8 million, offsetting declines in May and bringing both measures back in line with levels that had prevailed from August 2015 to April.
The number of job losers and persons who completed temporary jobs rose by 203,000 to 3.8 million, after a decline in May.
Both the labor force participation rate, at 62.7 percent, and the employment-population ratio, at 59.6 percent, changed little.
In June, 1.8 million persons were marginally attached to the labor force, about unchanged from a year earlier. (The data are not seasonally adjusted.) These individuals were not in the labor force, wanted and were available for work, and had looked for a job sometime in the prior 12 months. They were not counted as unemployed because they had not searched for work in the 4 weeks preceding the survey."
(http://www.tradingeconomics.com/united-states/unemployment-rate)
R.
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