The student government at State College is selling inexpensive bookcases for dorm rooms to raise money for school activities. The expense function is E = -200p + 10,000 and the revenue function is R = -18p2 + 800p.
a. At what price would the maximum revenue be reached? What would that maximum revenue be? Round to the nearest cent.
b. Graph the expense and revenue functions. Circle the breakeven points.
c. Determine the prices at the breakeven points. Round to the nearest cent.
d. Determine the revenue and expense amounts for each of the breakeven points. Round to the nearest cent.