Final answer:
Doubling the admission price affects visitor numbers based on the price elasticity of demand. Total revenue will vary if demand is elastic or inelastic. A mathematical relationship can represent this as Total Revenue (TR) = Price (P) x Quantity (Q).
Step-by-step explanation:
When Gabriel doubles the cost of admission to achieve zero profit, the number of visitors required to cover the rental costs of the premises likely changes due to the concept of price elasticity of demand. Total revenue is calculated as the price of admission times the quantity of tickets sold. If the demand is elastic, decreasing the price will cause a larger percentage increase in the number of visitors, thereby raising revenue, whereas if demand is inelastic, an increase in price will lead to a smaller percentage decrease in visitors, increasing revenue as well. At unitary elasticity, the percentage change in quantity will offset the change in price, leading to unchanged revenue. The mathematical statement describing this would be: Total Revenue (TR) = Price (P) x Quantity (Q), with the understanding that Q would change inversely with P based on demand elasticity.