Vector Space

25. Vector Space

Example

Let’s say your factory can produce up to 300 units of product 1, 500 units of product 2, and 400 units of product 3. The set of all possible production combinations forms a vector space:

\begin{matrix} 𝑥 = [\begin{matrix} 𝑥_{1} \\ 𝑥_{2} \\ 𝑥_{3} \end{matrix}] \\ 0 \leq 𝑥_{1} \leq 300 \\ 0 \leq 𝑥_{2} \leq 500 \\ 0 \leq 𝑥_{3} \leq 400 \end{matrix}