Note: please dont use excel solver. i need answer written in paper

Problem 1 To make one type of KIND healthy snacks, dried unsweetened cranberry, roasted almond, and granola are mixed. They would like to optimize the amount of each ingredient to put into the snack blend. The cost, volume, fat grams and calories information of each ingredient (per ounce) is shown below. Ingredient Cost Volume Fat Grams Calories Dried unsweetened cranberry 0.65 1/3 cup 0 200 Roasted almond 0.35 3/7 cup 14 162 Granola 0.15 1 cup 28.5 250 . . The following must be considered based on their contractual agreement with KIND: The snack is packaged in boxes that will hold between 4 and 45 cups. The blend should contain no more than 1200 calories and no more than 40 grams of fat. Dried unsweetened cranberry must be at least 25% of the volume of the mixture, and roasted almonds must be at most 40% of the weight of the mixture, The volume of the mixture cannot exceed the volume of granola by more than 2.5 cups and dried cranberry's weight must be at least twice as much as roasted almond's weight. Formulate an LP model to determine the optimal weight of each ingredient (ounce) in the blend that meets the above restrictions so as to minimize the total cost of the blend. Hint: Note that "cup" is considered as the unit of volume and "ounce" is the unit of weight. You do not need any unit conversions for this