HOPE Publishing sells its college entrance tests reviewer books at wholesale price of $200 per copy. If the total printing cost (in dollars) for x unites is C(x)=500 000 + 80x + 0.003x2 and is its production capacity is at most 30 000 copies over a specified time, how many copies of review books must be sold within that period to maximize profit?
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1. a) HOPE Publishing sells its college entrance tests reviewer books at wholesale price of $200 per copy. If the total printing cost (in dollars) for x unites is C(x)=500 000 + 80x + 0.003x2 and is its production capacity is at most 30 000 copies over a specified time, how many copies of review books must be sold within that period to maximize profit?
b) A piece of wire 40-cm long is to be bent to form a right angle. Where should the vertex be to maximize the distance between two loose ends?
c) An efficiency study on the morning shift at a factory indicates that the average worker who arrives on the job at 6:00am will have produced Q(t)= -t3+9t2+12t units t hours later. At what time during the morning is the worker performing most efficiently?
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