Question
Find the maximum people that a company can recruit, if
the recruit function is given by p(x) = 41 − 24x − 18x2Solution
The recruit function is given as p(x) = 41 − 24x − 18x2 Therefore, p’(x) = - 24 - 36x P’’(x) = -36 Now, p’(x) = 0 => x = -24/36 = -2/3 Also, P’’(-2/3) = -36 < 0 By second derivative test, x = -2/3 is the point of local maxima of p. Therefore, Maximum profit = p(-2/3) => 41 – 24(-2/3) – 18(-2/3)2  => 41 + 16 – 8 = 49 Hence, the maximum recruit that the company can make is 49 people.
Statement: O ≤ Q, Q ≥ A, A > I, I = D
Conclusion: I. Q > D II. A > D
Statements:O < P,P < Q,Q < R
Conclusions: I. P < R II. P > Q
If the expressions, ′X < C ≤ N > E ′, ′N ≥ O′ and ′W ≥ C′ are true then which of the following combinations will be definitely true?
A statement is given, followed by four conclusions given in the options. Find out which conclusion is true based on the given statement.
Statemen...
Statements: D = E ≥ G = K, O > B ≤ C = K, E ≤ I < F
Conclusions: I.F > K II. I ≥ G
...Statement: H > G = M > S ; GÂ `>=` Â T > L; MÂ `<=` Â F <Â U
    Conclusion:  I. L > M          II. G < U
...In which of these expression ‘J > B’ is definitely True?
Statements: Â Y $ Z, H $ D, Z * D
Conclusions: Â Â Â Â a) Y & HÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â b) Y * D
...Statements: V ≤R = W ≥ Q, U = T ≥ S < X, U < Q
Conclusions: I. V < Q II. Q > X
Statements: C > D ≥ E > F; H ≥ G < F; I > H
Conclusions:
I. C > I
II. D > G
III. C ≤ H
Relevant for Exams:
