Subtopic: Maxima and minima of function with several independent variables
Question Statement:
Oil yield (Yₒ) of mustard after N days of flowering is expressed as
Yₒ = −0.0018 N² + 0.1319 N − 0.743
For maximum oil yield, optimum stage of harvesting, in days after flowering is,
Options:
(A) 23
(B) 29
(C) 37
(D) 39
Official Answer Key:
C
Step-by-Step Solution & Explanation
At the maximum, dYₒ/dN = 0:
dYₒ/dN = −0.0036N + 0.1319 = 0 ⇒ N = 0.1319 / 0.0036 = 36.6 ≈ 37 days.
(Second derivative = −0.0036 < 0, confirming a maximum.) Answer: (C).
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