A perfect pizza maximizes how great it tastes and meets your recommended daily allowance (RDA) for the three macronutrients carbohydrates, fats, and protein. Suppose that your diet should consist of 25–35% fats, 45–65% carbohydrates, and 10–35% proteins. Suppose further that your total calorie intake should be is 1800–2500 calories. Given the following pizza ingredients, assign each pizza ingredient a “taste factor” per serving that represents your personal preferences. If your favorite ingredient is not included, look up its nutritional information and add it to the list of toppings. Design a linear program choose how much of each pizza topping you should include to make a pizza that meets the above constraints and maximizes how great it tastes. Explain how you chose your objective function and constraints. 

Protein Taste Calories 80 Fat Carbs Item 15g 30g lg 250mg 298mg Og Og * 0.5g Thin Crust Deep Dish Pizza Sauce (per slice) * 160 7.5 * 8 250mg (1 tbsp) (10 g) 2g 4g | 353mg 707mg 3g 2g Ig 86mg Mozzarella 27 46 pperoni Sausage Green Pepper 17 1g 17mg 464mg 4 2 934mg 110mg 328mg 309mg lg 524mg 1g Onion Mushroom 2 34mg Olive 11 95mg Pineapple 12mg 54mg * * * * * *