Problem 1: Brown Furniture Company makes three kinds of ofce furniture: chairs, desks, and tables. Each product requires skilled labor in the parts fabrication department, unskilled labor in the assembly department, machining on some key pieces of equipment, and some wood as raw material. At current prices, the unit prot contribution for each product is known, and the company can sell everything it manufactures. The size of the workforce has been established, so the number of skilled and unskilled labor hours is known. The time available on the relevant equipment has also been determined, and a known quantity of wood can be obtained each month under a contract with a wood supplier. The data. shown below summarize the parameters of the problem. Requirements per Unit Desks Tables Resources Available 6 2 2000 hours 3 8 6 1800 hours 9 6 4 1600 hours 30 40 25 9400 sq. ft $14 Brown Furniture Company would like to determine the best combination of furniture to make (adhering to the resource restrictions for the current month) to maximize its prot. a) Write the Linear Progam formulation for the above optimization problem. Make your formulation clear by dening the variables, constraints, objective function etc- clearly