Find a current example of a linear optimization model used in your industry. describe the industry's needs, including any unique factors, how the linear optimization model was used, and the problem or challenge it addressed. would you suggest a different model be used? why or why not? support your response with rationale from the assigned readings.

Avegetable garden and a surrounding path are shaped like a square that together are 11ft wide. the path is 2ft wide. find the total area of the vegetable garden and path

() at a farm, animals are fed bales of hay and buckets of gain.each bale of hay is in the shape of a rectangular prism.the base side lengths 2 feet and 3 feet,and the height is 5 feet. each bucket of grain is a cylinder with diameter of 3 feet. the height of the bucket is 5 feet as the height of bale. a. which is larger in area, the rectangular base of the bale or the circular base of the bucket? explain how you know b. which is larger in volume, the bale or the bucket? explain how you know

In a class, there are 12 girls. if the ratio of boys to girls is 5: 4 how many boys are there in the class