- Subset of mathematical programming
- Dimension of mathematical programming
- Linear mathematical programming
- All of above
Solution:
Linear programming is an extremely powerful tool for addressing a wide range of applied optimization problems.
A short list of application areas is resource allocation, production scheduling, warehousing, layout, transportation scheduling, facility location, flight crew scheduling, portfolio optimization, parameter estimation.
So, linear programming is used to subset mathematical programming.
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Let $f(x)=\left\{\begin{array}{cc}\frac{x}{|x|} g(x), & x \neq 0 \\ 0, & x=0\end{array}\right.$
and $h(x)=e^{\text {ld }}$ for all $x \in R$. Let $( f \circ h )(x)$ denote $f(h(x))$ and $( h \circ f )( x )$ denote $h(f(x))$. Then which of the following is (are) true?
$(A)$ $f$ is differentiable at $x=0$
$(B)$ $h$ is differentiable at $x=0$
$(C)$ $f \circ h$ is differentiable at $x=0$
$(D)$ $h \circ f$ is differentiable at $x=0$