The Demand Function for a Product Is Modeled By $p = 3000 \left( 1 - \frac { 5 } { 5 + e ^ { - 0.0002 x } } \right)$

Multiple Choice

The demand function for a product is modeled by $p = 3000 \left( 1 - \frac { 5 } { 5 + e ^ { - 0.0002 x } } \right)$ . Find the price of the product if the quantity demanded is x = 100. Round your answer to two decimal places where applicable.

A) $\$$ 422.12
B) $\$$ 2518.48
C) $\$$ 491.72
D) $\$$ 502.02
E) $\$$ 2508.28