Cully 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 has 18,000 cubic feet available for storage. Profit for each big shelf is $300 and for each medium shelf is $150. SHOW WORK.

A) Write the Linear Programming Model with objective function and constraints.

B) Solve the model to find how many big shelves(B) and how many medium shelves(M) should be purchased? Also find the maximum profit.