Many college basketball teams play in winter tournaments sponsored by
businesses that want the advertising opportunity. For one such tournament, the
projected income and expenses are as follows.

• Income is $60 per ticket sold, $75,000 from television and radio broadcast
rights, and $5 per person from concession stand sales.

• Expenses are $200,000 for the colleges, $50,000 for rent of the arena and its
staff, and a tax of $2.50 per ticket sold.

a. Find the projected income, expenses, and profit if 15,000 tickets are sold for
the tournament.

b. Write two equivalent expressions for tournament income if n tickets are sold.
In one expression, show each source of income. In the other, rearrange and
combine the income components to give the shortest possible expression.

c. Write two equivalent expressions for tournament expenses if n tickets are sold. In
one expression, show each source of expense. In the other, rearrange and combine
the expense components to give the shortest possible expression.

d. Write two equivalent expressions for tournament profit if n tickets are sold. In
one expression, show income separate from expenses. In the other, rearrange
and combine components to give the shortest possible expression.