2. An amateur drama company is putting on a production of a musical.
They have their own hall, which seats 100 people and where they charge
$4.00 for a ticket. The local arts theatre seats 300 and costs $480 a night
to hire. The facilities at the arts theatre are better, so the company can
charge $4.50 for a ticket there. All other expenses are equal in the two
venues and have been covered already.
If they use the arts theatre, how many tickets would the company need to
sell on any given night to ensure they make more profit than if using
their own hall? [Profit = income minus costs.]