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  • https://stats.libretexts.org/Courses/Lake_Tahoe_Community_College/Interactive_Calculus_Q1/03%3A_Derivatives/3.05%3A_Derivatives_as_Rates_of_Change/3.5E%3A_Exercises_for_Section_3.4
    In this case, \(s(t)=0\) represents the time at which the back of the car is at the garage door, so \(s(0)=−4\) is the starting position of the car, 4 feet inside the garage. Suppose the price-demand ...In this case, \(s(t)=0\) represents the time at which the back of the car is at the garage door, so \(s(0)=−4\) is the starting position of the car, 4 feet inside the garage. Suppose the price-demand and cost functions for the production of cordless drills is given respectively by \(p=143−0.03x\) and \(C(x)=75,000+65x\), where \(x\) is the number of cordless drills that are sold at a price of \(p\) dollars per drill and \(C(x)\) is the cost of producing \(x\) cordless drills.

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