Nutrient Daily Consumptio n Calories 2550 Cholesterol (mg) 160 Carbohydrates (9) 283 Protein (g) 86 Each amount given is per serving. Food Calorie Cholesterol Carbohydrates S (mg) Food A 370 5 56 Food B 280 0 28 Food C 170 30 12 Food D 210 30 21 Protein (g) 14 4 8 10 21 22 number of A to eat each day number of B to eat each day number of C to eat each day number of D to eat each day 1. Use Mathematica to solve this system. How much of each food should I eat to achieve the consumption? 2. I want to eat ten of Food A and only one of each of the other foods. Use Mathematica to set up a matrix A and a vector x such that Ax will contain the amount of each nutrient. Do the multiplication in Mathematica and interpret the output. 3. New goals. Nutrient Daily Consumptio n Calories 3660 Cholesterol (mg) 175 Carbohydrates (g) 451 Protein (g) 128 Use Mathematica to determine if it is possible for me to meet goals by eating all of them. If so, how many of each should I eateach day? If not, why not? Nutrient Daily Consumptio n Calories 2550 Cholesterol (mg) 160 Carbohydrates (9) 283 Protein (g) 86 Each amount given is per serving. Food Calorie Cholesterol Carbohydrates S (mg) Food A 370 5 56 Food B 280 0 28 Food C 170 30 12 Food D 210 30 21 Protein (g) 14 4 8 10 21 22 number of A to eat each day number of B to eat each day number of C to eat each day number of D to eat each day 1. Use Mathematica to solve this system. How much of each food should I eat to achieve the consumption? 2. I want to eat ten of Food A and only one of each of the other foods. Use Mathematica to set up a matrix A and a vector x such that Ax will contain the amount of each nutrient. Do the multiplication in Mathematica and interpret the output. 3. New goals. Nutrient Daily Consumptio n Calories 3660 Cholesterol (mg) 175 Carbohydrates (g) 451 Protein (g) 128 Use Mathematica to determine if it is possible for me to meet goals by eating all of them. If so, how many of each should I eateach day? If not, why not