1. The Caterpillar Company manufactures two products for irrigation system, called Product A and Product B. Profit from each product A is $13 and product B is $22.Every product requires a certain amount of metal and plastic; the company has available a total of 1500 pounds of metal and 4000 pounds of plastic. Each product A requires a total of 35 pounds of metal and 75 pounds of plastic. Each product B requires 25 pounds of metal and 50 pounds of plastic. The daily demand for product A cannot exceed that of product B by more than 6.
1. Formulate this optimization problem
2. How much of product A and Product B should Caterpillar manufacture to maximize its profit? - Use Simplex method to solve this problem.