[Solution] MANUFACTURING COST. At a certain factory, the total cost of manufacturing q units during the daily production run is C(q)=q^2+q+900 dollars.


Question: MANUFACTURING COST. At a certain factory, the total cost of manufacturing \(q\) units during the daily production run is \(C(q)=q^{2}+q+900\) dollars. On a typical workday, \(q(t)=25 t\) units are manufactured during the first \(t\) hours of a production run.

  1. Express the total manufacturing cost as a function of \(t\).
  2. How much will have been spent on production by the end of the third hour?
  3. When will the total manufacturing cost reach $1 1,000?

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