(production cost) arthur, the manager of a furniture factory, finds that the cost of producing bookcases during the morning production shift is () = 2 + +500 dollars. on a typical day, () = 25 bookcases are produced during the first hours of a production shift for 0 ≤ ≤ 5. a. express the production cost in terms of . b. how much will have been spent on production by the end of the 3rd hour? what is the average cost of production during the first 3 hours? c. arthur’s budget allows no more than $11,000 for production during the morning shift. when will this limit be reached?

Say we consider the cost of production of q book cases during the morning production run is given by

(a)   C(q) = q2 +q+500 observe that q(t) = 25 t bookcases are produced during the first t hours of a production run for 0<t<=5

To express the production cost in terms of t ,q(t)=25t into C(q) to get

C(q(t))= 25t2+25t+ 500

(b) C (t=3 hours) = 25*3 squared + 25*3 + 500 = $ 6200

(c) C(t=4 hours) = 25*4 squared + 25*4 +500= $ 10400

Now if we take t= 5 hours ,production cost goes beyond $11000 which is the budget for the morning shift.So the time limit is reached after 4 hours.

it provided for selection of government employees through competitive examinations. it also made it unlawful to fire or demote covered employees for political reasons or to require them to give political service or payment, and it set up a civil service commission to enforce the law.

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