If the monthly supply of math action figures $t$ months after initial delivery to market is given by the logistic growth function
\[
s(t)=\frac{2000}{3+9 e^{-0.67 t}}
\]
find the initial supply of the market.
Initial supply $=$
Answer
Final Answer: The initial supply of the market is \(\boxed{166.67}\).
Step 1 ：Given the logistic growth function for the monthly supply of math action figures $t$ months after initial delivery to market: \[s(t)=\frac{2000}{3+9 e^{-0.67 t}}\]
Step 2 ：We need to find the initial supply of the market, which is the value of the function $s(t)$ at $t=0$.
Step 3 ：Substitute $t=0$ into the function: \[s(0)=\frac{2000}{3+9 e^{-0.67 \cdot 0}}\]
Step 4 ：Simplify the expression to find the initial supply: \[s(0)=166.67\]
Step 5 ：Final Answer: The initial supply of the market is \(\boxed{166.67}\).
