A state civic organization is conducting its annual fund-raising campaign for its summer camp program for disadvantaged. Campaign expenditures will be incurred at a rate of $10,000 per day. From past experience it is known that contributions will be high during the early stages of the campaign and will tend to fall off as the campaign continues. The function describing the rates at which contributions are received is :

=1002+20,000

Where represents the day of campaign, and () equals the rate at which contributions are received, measured in dollars per day.

The organization wishes to maximize the net proceeds from the campaign.

1. Determine how long the campaign should be conducted in order to maximize net proceeds

2. What are the total campaign expenditures expected to equal?

3. What are total contributions expected to equal?

4. What are the net proceeds (total contributions less total expenditures) expected to equal?