(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.

before there were tanks, machine guns, windmills, and solar panels, the first civilizations emerged that create the history of humanity which provided the larger context for western civilization. uses of weaponry and technology were used very differently in the ancient civilizations than they are today. relating back to the times of the ancient mesopotamian civilization, technology kept advancing throughout the ancient egyptian civilization into the ancient greek civilization, and then finally the ancient roman civilization. as techniques and strategies were past down from civilization to civilization, each shared its own similarities, as well as varied differences. one trait they had in common was to commit violence and economically overpower one another. technology has ultimately advanced due to the knowledge transferred from generation to generation. uses of sophisticated weaponry and devices have created more opportunity for warfare and improvement in the work place. ancient civilizations became more powerful due to the advancements of technology. technology did not only create the use of violence, but it also the economies grow and become stronger, because production of trading goods rose like never before. the rivers, such as the nile, tigris, and euphrates all flourished, as well as destructed civilizations. each civilization had different uses for these rivers, however, some benefited more than others. when analyzing ancient civilizations, there   are things you must understand

explanation:

determination