VVision Corporation: Production Planning and ShippingVision is a large company that produces videocapturing devices for military applications such asmissiles, long-range cameras, and aerial drones. Four different types of cameras (differing mainly by lenstype) are made in the three plants in the system. Each plant can produce any of the four camera types,although each plant has its own individual constraints and unit costs. These constraints cover labor and machiningrestrictions, and the specific values are given in Tables 8?10. Note that even though the productsare identical in the three plants, different production processes are used and thus the products use differentamounts of resources in different plants. The corporation controls the material that goes into the lenses;the material requirements for each product are given in the last column of Tables 8?10. A total of 3,500 pounds of material is available for the entire system during the planning period. Transport has 3 major customers (RAYco, HONco,and MMco) for its products. The maximum sales for each customer?product pair is given in Table 11. Productsales prices are given in Table 12, and the shipping costs from each plant to each customer are detailedin Table 13. Table 14 contains the production costs for each product?plant pair.All shipping from plants 1 and 2 that goes to RAYco or HONco must go through a special inspection.These units are sent to a central site, inspected, and then sent to their destination. The capacity of thisspecial inspection site is 1,500 pieces.your job is to formulate lp(linear programing)Your job is to determine a recommendation for the company. A recommendation must include a plan forproduction and shipping as well as the cost and revenue generated from each plant. In addition, youshould address the following potential issues in your recommendation:If you could get more material, how much would you like? How would you use it? What would yoube willing to pay? If you could get more inspection capacity, how much would you like? How would you use it? Whatwould you be willing to pay?At what plant(s) would you like to add extra machine hours? How much would you be willing topay per hour? How many extra hours would you like?Marketing is trying to get RAYco to consider a 50% increase in its demand. Can we handle thiswith the current system or do we need more resources? How much more money can we make ifwe take on the additional demand?
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