For each linear programming formulation, please clearly state the three elements (definition of decision variables and their measurement units, objective function and constraints). Please briefly explain each constraint, such as "capacity limit for resource A". Problem 1 Kite 'N String manufactures old-fashioned diagonal and box kites from high-strength paper and wood. Each diagonal kite, which nets the company a $3 profit, requires 8 square feet of paper and 5 linear feet of wood (including waste). Each box kite nets a $5 profit and, including waste, requires 6 square feet of paper and 10 linear feet of wood. Each kite needs to be packaged in a box before it is sold to customers. This week Kite 'N String has 1500 boxes for packaging, and capacity to tailor 10,000 square feet of paper and 12,000 linear feet of wood for kite production. How many of each type of kite do you recommend Kite 'N String to produce this week in order to maximize the company's total profit for this week? Requirements: (a) Formulate the problem as a linear programming model. |(b) Use the graphical analysis methodology to solve this problem and find the optimal production plan for the company. On the graph, please also identify the feasible region and the optimal point