You are required to formulate (only!!) the below problem as a Linear Programming (LP) Model: Natural Furniture Company manufactures three outdoor products, chairs, benches, and tables. Each product must pass through the following departments before it is shipped: cutting, assembly, and painting. The time requirements (in hours) are summarized in the tables below. The production time available in each department each week and the minimum weekly production requirement to fulfill contracts are as follows: Capacity (Hours) 450 Department Curting Assembly Painting 625 550 Unit Profit Cutting Minimum Production Level 100 Hours Required Assembly Painting 2.0 1.5 2.0 2.0 Product Chairs Benches Tables 1.5 50 1.5 2.0 $15 S 10 S 20 2.5 2.0 50