In: Math
The demand for nurses in the US between 2000 and 2015 is estimated to be D(t) = 0.7t 2 + 0.265t + 2000 thousand, where 0 ≤ t ≤ 15, and t = 0 corresponds to year 2000. The number of nurses in the US between 2000 and 2015 is estimated to be S(t) = 0.14t 2 + 0.326t + 1900 thousand, where 0 ≤ t ≤ 15, and t = 0 corresponds to year 2000.
In the marginal analysis, you would use q'(8) to estimate what quantity? Find the exact value of that quantity, and compare with q' (8).