Question

A travel agency offers two types of vacation packages: beach vacations for $550 per person, and mountain vacations for $750 per person. It costs $480 per person to advertise beach vacations, and it costs $680 per person to advertise mountain vacations. The agency has an advertising budget of $10,200 and can accommodate a maximum of 20 people. The agency is trying to figure out how to maximize revenue. What are our two constraints for this problem

Answer 1

The two constraints for this problem are:

1. Advertising Budget Constraint: The total cost of advertising for beach vacations and mountain vacations cannot exceed the agency's advertising budget of $10,200. This can be represented mathematically as:
$480 * Number of beach vacation packages + $680 * Number of mountain vacation packages ≤ $10,200

2. Capacity Constraint: The total number of people for beach vacations and mountain vacations cannot exceed the agency's capacity of 20 people. This can be represented mathematically as:
Number of beach vacation packages + Number of mountain vacation packages ≤ 20

These two constraints ensure that the agency stays within its advertising budget and can accommodate the maximum number of people while maximizing revenue.