Mallory furniture buys two products for resale: big shelves (B) and medium shelves (M). Each big shelf costs $500 and requires 100 cubic feet of storage space, and each medium shelf costs $300 and requires 90 cubic feet of storage space. The company has $75,000 to invest in shelves this week, and the warehouse 18,000 cubic feet of storage space.
Profit for each big shelf is $300 and the profit for each medium shelf is $150.
What is the maximum profit?