Free SAT Practice Question

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ID: SAT-PTAM-7
Section: Math - Passport to Advanced Math
Topics: Inequality/Quadratic function; Profit and Loss function
Difficulty level: Hard

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A manufacturer incurs production cost and transportation cost for manufacturing articles. The production cost, in dollars, for manufacturing $n$ articles is given by the function $f(n)=2n^2-100n$ while transportation cost, in dollars, is given by the function $g(n)={-n}^2-100n+20000$. If the manufacturer sells each article for $\$100,$ which of the following represents the condition, in terms of $n,$ for the manufacturer to make a profit? (without calculator)

A$n>100$
B$n>200$
C$101\le n\le 199$
D$100\lt n\le 200$
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