Solve the given problems by determinants, set up appropriate systems of equations. All numbers are accurate to at least two significant digits.

An online retailer requires three different size containers to package its products for shipment. The costs of these containers, A, B, and C, and their capacities are shown as follows:

If the retailer orders 2500 containers with a total capacity of 1.1 ×10⁶ in.3 at a cost of $15,000, how many of each are in the order?

Container Cost ($ each) Capacity (in.) A B 4 6 200 400 C 7 600