Answer:
The correct answer is x + 2y [tex]\geq[/tex] 400 and also y [tex]\geq 50[/tex] and x [tex]\leq 300[/tex].
Step-by-step explanation:
Amount a theater wants for a certain matinee = $2000
Cost of Children's ticket is $5 and for adult is $10.
Let there are x children and y adults in the theater. Total capacity of the theater is maximum 350. Thus x + y [tex]\leq[/tex] 350.
Thus the above situation can be demonstrated as:
5x + 10y [tex]\geq[/tex] 2000
⇒ x + 2y [tex]\geq[/tex] 400 and also y [tex]\geq 50[/tex] and x [tex]\leq 300[/tex].
Thus the set of solutions can be given by the above three inequalities. One such possibility could be 300 students and 50 adults for the matinee.
