Here's the first one . . .
1) A baseball team is trying to determine what price to charge for tickets.
At a price of $10 per ticket, it averages 45,000 people per game.
For every increase of $1, it loses 5,000 people.
Everyone person at the game spends an average of $5 on concessions.
What price per ticket should be charged in order to maximize revenue?
Let = number of $1 increases in the price of ticket.
They will charge dollars per ticket.
For each , there are fewer ticket sales.
. . They will sell: . tickets.
So tickets are sold at dollars each.
The revenue from ticket sales is: . dollars.
The same ticketholders will spend $5 each on concessions.
The revenue from concessions is: . dollars.
Hence, the Total Revenue is: . dollars.
. . and that is the function we must maximize.