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2. (13 pts) You have decided to enter the candy business. You are considering producing 2 types of candies: KitKats and MnMs, both of which

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2. (13 pts) You have decided to enter the candy business. You are considering producing 2 types of candies: KitKats and MnMs, both of which consist solely of sugar, nuts, and chocolate. In stock you have 100 ounces of sugar, 20 ounces of nuts, and 30 ounces of chocolate. The mixture used to make MnMs much contain at least 20% nuts. The mixture used to make KitKats must contain at least 10% nuts and at least 10% chocolate. Each ounce of MnMs can be sold for 25 cents and each ounce of KitKats can be sold for 20 centers. a. (6 pts) Formulate an LP that will enable you to maximize your revenue from candy sales. (Hint: there are the exact number of rows and columns that you will need) Xi 5, 2 , = RHS Cjb. (4 pts) Your candy business is now able to purchase sugar, nuts, and chocolate in addition to what you previously had on hand. Sugar can be purchased for 10 cents/ounce, nuts can be purchased for 15 cents/ounce, and chocolate can be purchased for 12 cents/ounce. Describe in words how you would alter the table above to reflect this. c. (3 pts) The candy business moves to a new production facility where they can make at most 1800 ounces of candy. Write this new constraint in summation notation. Make sure to define all symbols used and that it is clear which columns rows you are referring to (use 9 as the row number)

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