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Business Calculus 1 Midterm
SAMPLE
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2. Intro to Derivatives / Tangent Lines and Derivatives / Problem 14
Problem 14

The cost function C(x)C(x) and the selling price of each article, p(x)p(x) are given below. Determine the profit function P(x)P(x).
C(x)=−0.03x2+70x+75C(x)=-0.03x^2+70x+75
p(x)=80−0.02xp(x) = 80 - 0.02x