Consider a company that carves wooden soldiers. The company specializes in two main types: Confederate and Union soldiers. The profit for each is $28 and $30,respectively. It requires 2 units of lumber, 4 hr of carpentry, and 2 hr of finishing to complete a Confederate soldier. It requires 3 units of lumber, 3.5 hr of carpentry, and 3 hr of finishing to complete a Union soldier. Each week the company has 100 units of lumber delivered. There are 120 hr of carpenter machine time available and 90 hr of finishing time available. Determine the number of each wooden soldier to produce to maximize weekly profits. i) Set up the problem. ii) Write the problem in matrix form.