[All Steps] The marginal-revenue function for a manufacturer's product is of the form (d r)/(d q)=(a)/(e^q+b) for constants a and b, where r is the total


Question: The marginal-revenue function for a manufacturer's product is of the form

\[\frac{d r}{d q}=\frac{a}{e^{q}+b}\]

for constants \(a\) and \(b\), where \(r\) is the total revenue received (in dollars) when \(q\) units are produced and sold. Find the demand function, and express it in the form \(p=f(q)\).

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