A taylor swift concert is selling concert tickets. Two kinds of tickets to an outdoor concert were sold: lawn tickets and seat tickets. Fewer than 400 tickets were sold. Lawn tickets cost $30 each and seat tickets cost$50 each. The organizers want to make at least $14,000 from ticket sales.
Which of the following liner system models the sale of concert ticket?
Let x represent the number of lawn tickets sold.
Let y represent the number of seat tickets sold.
The total number of tickets sold is x + y.
The total revenue from lawn tickets is 30x.
The total revenue from seat tickets is 50y.
We are given that the total number of tickets sold is fewer than 400, so we have the inequality:
x + y < 400
We are also given that the organizers want to make at least $14,000, so we have the inequality:
30x + 50y ≥ 14,000
Therefore, the linear system that models the sale of concert tickets is:
x + y < 400
30x + 50y ≥ 14,000