# Calculus: Other Calculus Problems – #444

Question: For consumers’ demand function

$D(q)=40{{e}^{-0.05q}}$

and $${{q}_{0}}=10$$.

(a) Find the total amount of money consumers are willing to spend to get $${{q}_{0}}$$ units of the commodity.

(b) Sketch the demand curve and interpret the consumer’s willingness to spend as an area