Animal Shelter An animal shelter buys two different brands of dog food. The number of

Chapter 7, Problem 45

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Animal Shelter An animal shelter buys two different brands of dog food. The number of dogs that can be fed from pounds of the first brand and pounds of the second brand is given by the modelDx, y x2 52x y2 44y 256. (a) The shelter orders 100 pounds of dog food. Use Lagrange multipliers to find the number of pounds of each brand of dog food that should be in the order so that the maximum number of dogs can be fed. (b) What is the maximum number of dogs that can be fed?

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