Application of Derivatives
NCERT Class 12
CBSE
Grade 12
Question:
Find the maximum profit that a company can make, if the profit function is given by $P(x) = 41 - 72x - 18x^2$.
Step-by-Step Solution
$P'(x) = -72 - 36x = 0 \Rightarrow x = -2$. [1.0 Mark]
Max profit $= P(-2) = 41 + 144 - 72 = 113$. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Finding critical point $x = -2$: 1.0 Mark
Evaluating maximum profit $= 113$: 1.0 Mark
Correct Answer:
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