Question

A theater manager is planning an upcoming concert. Regular tickets will cost $12 and student tickets will cost $8. The theater can seat at most 200 people. The manager wants to collect at least $1000 from ticket sales.

Let x represent the number of regular tickets sold. Let y represent the number of student tickets sold.

Which inequalities are among the constraints for this situation?

Select each correct answer.



12x+8y≤1000

12x+8y≥1000

x+y≥1000

x+y≤200

x+y≥200

12x+8y≤200

Answer 1

The 2 and 4 choice is correct.

Please vote my answer brainliest. thanks!

Answer 2

Answer:

Option B and Option D is correct.

The inequalities are among the constraints for the given situation is,

$12x+8y\geq 1000$  and $x+y\leq 200$

Explanation:

Let x represents the number of regular ticket sold.

and y represents the number of student ticket sold.

then, 12x represents the regular tickets at $12 each,

and 8y represents the student tickets at $8 each.

As the manager wants to collect at least $ 1000 from the ticket sale or we can say that the manager wants $ 1000 or more from the ticket sale.

then, we have the inequalities for this;

$12x+8y\geq 1000$

As, the theater can seat at most 200 people or we can also say that the theater can seat 200 or less people .

therefore, the inequalities for this we have;

$x+y\leq 200$

Therefore, the inequalities are among the constraints for the given situation is,

$12x+8y\geq 1000$  and $x+y\leq 200$