Mathematics

Mathematics

Problem

The cost (in dollars) to manufacture qq units of a product is modeled by C(q)=200+0.05q2C(q)=200+0.05q^{2}. What is the instantaneous rate of change of cost when q=100q=100 units, and what are the appropriate units? a) 55 dollars per unit b) 1010 dollars per unit c) 10.0510.05 dollars per unit d) 0.10.1 dollars per unit

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