# Math: Algebra 2 Linear Programming

posted by
**Sean**
.

An airline will provide accommodations for a minimum of 2000 first class, 1500 business, and 2400 economy class passengers. Airplane 1 costs $12,000 per mile to operate and can accommodate 40 first class, 40 business, and 120 economy passengers. Airplane 2 costs $10,000 per mile to operate and can accommodate 80 first class, 30 business, and 40 economy. How many of each type of plane should be used to minimize the operating costs?