1. LIKNA Furniture buys two products for resale: Book shelves (B)and Cloth shelves (C). Each book shelf costs $500 and requires 100 cubic feet of storage space, and each cloth shelf costs $300 and requires 90 cubic feet of storage space. The company has cost budget $75,000 to invest in shelves this week, and the warehouse has 18,000 cubic feet available for storage. Profit for each book shelf is $300 and for each cloth shelf is $150.

1. Formulate the Linear Programming Model and solve by mathematical solution
2. Determine the sensitivity range for profit for Medium Shelf
3. Determine the sensitivity range for cost