The Atlantic Machining Company manufactures small parts for drones. They have a new order that requires a daily production of at least 15,000 of these parts. Currently they have no machines capable of producing these parts so they must purchase new machines. They can buy three types of machines, Type A, Type B, and Type C. The cost for these machines are $800, $1300, and $1500 respectively. The production rates are: Type A - 200 parts/day Type B - 500 parts/day Type C - 600 parts/day They want to make sure they do not purchase more than twice as many Type B machines as Type A machines. In other words, the ratio of Type B to Type A machines must be <= 2 to 1. They want to purchase at least 5 of all three types of machines to have a diverse production plan. What is the minimum cost Atlantic will incur if they purchase enough machines to meet these requirements and meet the daily production demand of at least 15,000 parts