Question: Labor. The personnel manager for a large construction company keeps records of the number of labor hours per week spent on typical construction jobs handled by the company. He has developed the following model for a labor-power curve:

\(m(x)=\frac{6,608 e^{-0.706 x}}{\left(1+925 e^{-0.706 x}\right)^{2}}\) million labor hours per week

after the \(x\) th week of the construction job.

1. Use 5,10 , and 20 right rectangles to approximate the number of labor hours spent during the first 20 weeks of a typical construction job.
2. If the number of labor hours spent on a particular job exactly coincides with the model, which of the following would give the most accurate value of the number of labor hours spent during the first 20 weeks of the job?

1. The 20 -right-rectangle sum found in part \(a\)
2. The sum of 20 midpoint rectangles
3. The limiting value of the sums of midpoint rectangles

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