Question: A monopolist who employs m workers finds that they produce

\[q=2m{{\left( 2m+1 \right)}^{3/2}}\]

units of product per day. The total revenue r (in dollars) is given by

\[r=\frac{50q}{\sqrt{1000+3q}}\]

(a) What is the price per unit (to the nearest cent) when there are 12 workers? [3]

(b) Determine the marginal revenue when there are 12 workers. [3]

(c) Determine the marginal-revenue product when m = 12.