MCQ
The value of objective function is maximum under linear constraints
- Aat the centre of feasible region
- Bat (0, 0)
- ✓at any vertex of feasible region
- Dthe vertex which is maximum distance from (0, 0)
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$\alpha=\sum_{ k =1}^{\infty} \sin ^{2 k}\left(\frac{\pi}{6}\right)$
Let $g:[0,1] \rightarrow R$ be the function defined by
$g( x )=2^{\alpha x }+2^{\alpha(1- x )}$
Then, which of the following statements is/are $TRUE$?
$(A)$ The minimum value of $g( x )$ is $2^{\frac{7}{6}}$
$(B)$ The maximum value of $g( x )$ is $1+2^{\frac{1}{3}}$
$(C)$ The function $g( x )$ attains its maximum at more than one point
$(D)$ The function $g( x )$ attains its minimum at more than one point
(where $C$ is constant of integration)