The cost (in thousand rupees) of manufacturing hundred pens is modeled by

MATHEMATICS · Single correct · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

The cost (in thousand rupees) of manufacturing xx hundred pens is modeled by C(x)=−2x3+18x+40C(x)= -2x^3 + 18x + 40. Which one of the following statements correctly describes the behaviour of the cost when xx becomes very large? (a) It oscillates between fixed bounds. (b) It increases without bound. (c) It decreases without bound. (d) It approaches a constant value.

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