The Transit Authority runs the subway from city to suburbs. Fare is $3.00, number of passengers which will travel every day is 6000. If fare was increased to $3.50 per ride, number of riders would reduce to 5000. Consider q represent number of passengers and p represent price.
-Write the equation for q in terms of p
-Determine revenue function R(p)
-Determine R'(p)
-Relative/absolute max, on interval [0,6]