the-revenue-of-a-company-over-time-can-be-modeled-by-the-function-rt5000t2t5rlef

Question

The revenue of a company over time can be modeled by the function ﻿R(t)=5000t2t+5R\left(t\right)=\frac{5000t}{2t+5}R(t)=2t+55000t​﻿. Determine whether a steady-state exists and provide its value as ﻿ttt﻿ approaches ﻿∞\infty∞﻿.

Accepted Answer

The steady-state exists, and its value is ﻿250025002500﻿.

Answer

The steady-state exists, and its value is ﻿000﻿.

Answer

The steady-state exists, and its value is ﻿500050005000﻿.

Answer

The steady-state does not exist.

The revenue of a company over time can be modeled by the function R(t)=5000t2t+5R\(\left\)(t\(\right\))=\(\frac{5000t}{2t+5}\)R(t)=2t+55000t. Determine whether a steady-state exists and provide its value as ttt approaches ∞\(\infty\)∞.

The revenue of a company over time can be modeled by the function $R\(\left\)(t\(\right\))=\(\frac{5000t}{2t+5}\)$ . Determine whether a steady-state exists and provide its value as $t$ approaches $\infty$ .