I need help with just #3 1.10 Exercises1. The container of a breakfast cereal usually lists the numberof calories and the amounts of protein, carbohydrate, andfat contained in one serving of the cereal. The amounts fortwo common cereals are given below. Suppose a mixture ofthese two cereals is to be prepared that contains exactly 295calories, 9 g of protein, 48 g of carbohydrate, and 8 g of fat.a. Set up a vector equation for this problem. Include a state-ment of what the variables in your equation represent.b. Write an equivalent matrix equation, and then determineif the desired mixture of the two cereals can be prepared.Nutrition Information per ServingGeneral MillsCheeriosNutrientCaloriesProtein (g)Carbohydrate (g)Fat (g)420Quaker100% Natural Cereal1303185V2. One serving of Post Shredded Wheat supplies 160 calories.5 g of protein, 6 g of fiber, and 1 g of fat. One serving ofCrispix supplies 110 calories, 2 g of protein, .1 g of fiber.and .4 g of fat.a. Set up a matrix B and a vector u such that Bu gives theamounts of calories, protein, fiber, and fat contained ina mixture of three servings of Shredded Wheat and twoservings of Crispix.Tb. Suppose that you want a cereal with more fiber thanCrispix but fewer calories than Shredded Wheat. Is itpossible for a mixture of the two cercals to supply 130calories, 3.20 g of protein, 2.46 g of fiber, and .64 g offat? If so, what is the mixture"3. After taking a nutrition class, a big Annie's™ Mac and Cheesefan decides to improve the levels of protein and fiber in herfavorite lunch by adding broccoli and canned chicken. Thenutritional information for the foods referred to in this aregiven in the table.2-Nutrition Information per ServingNutrientCaloriesProtein (g)Fiber (g)Mac and Cheese Broccoli Chicken Shells260515.495.25270102150Ta. If she wants to limit her lunch to 400 calories but get 30 gof protein and 10 g of fiber, what proportions of servingsof Mac and Cheese, broccoli, and chicken should she use?propor-Tb. She found that there was too much broccoli in thetions from part (a), so she decided to switch from classicalMac and Cheese to Annie's Whole Wheat Shells andWhite Cheddar. What proportions of servings of eachfood should she use to meet the same goals as in part (a)?4. The Cambridge Diet supplies 8 g of calcium per day, inaddition to the nutrients listed in Table 1 for Example 1.The amounts of calcium per unit (100 g) supplied by thethree ingredients in the Cambridge Diet are as follows: 1,26 gfrom nonfat milk, .19 g from soy flour, and .8 g from whey.Another ingredient in the diet mixture is isolated soy protein,which provides the following nutrients in each unit: 80 gof protein, 0 g of carbohydrate, 3.4 g of fat, and 18 g ofcalcium.a. Set up a matrix equation whose solution determines theamounts of nonfat milk, soy flour, whey, and isolatedsoy protein necessary to supply the precise amountsof protein, carbohydrate, fat, and calcium in the Cam-bridge Diet. State what the variables in the equationrepresent.Tb. Solve the equation in (a) and discuss your answer.T In Exercises 5-8, write a matrix equation that determines theloop currents. If MATLAB or another matrix program is available.solve the system for the loop currents.

Question

I need help with just #3 1.10 Exercises1. The container of a breakfast cereal usually lists the numberof calories and the amounts of protein, carbohydrate, andfat contained in one serving of the cereal. The amounts fortwo common cereals are given below. Suppose a mixture ofthese two cereals is to be prepared that contains exactly 295calories, 9 g of protein, 48 g of carbohydrate, and 8 g of fat.a. Set up a vector equation for this problem. Include a state-ment of what the variables in your equation represent.b. Write an equivalent matrix equation, and then determineif the desired mixture of the two cereals can be prepared.Nutrition Information per ServingGeneral MillsCheeriosNutrientCaloriesProtein (g)Carbohydrate (g)Fat (g)420Quaker100% Natural Cereal1303185V2. One serving of Post Shredded Wheat supplies 160 calories.5 g of protein, 6 g of fiber, and 1 g of fat. One serving ofCrispix supplies 110 calories, 2 g of protein, .1 g of fiber.and .4 g of fat.a. Set up a matrix B and a vector u such that Bu gives theamounts of calories, protein, fiber, and fat contained ina mixture of three servings of Shredded Wheat and twoservings of Crispix.Tb. Suppose that you want a cereal with more fiber thanCrispix but fewer calories than Shredded Wheat. Is itpossible for a mixture of the two cercals to supply 130calories, 3.20 g of protein, 2.46 g of fiber, and .64 g offat? If so, what is the mixture&#34;3. After taking a nutrition class, a big Annie's™ Mac and Cheesefan decides to improve the levels of protein and fiber in herfavorite lunch by adding broccoli and canned chicken. Thenutritional information for the foods referred to in this aregiven in the table.2-Nutrition Information per ServingNutrientCaloriesProtein (g)Fiber (g)Mac and Cheese Broccoli Chicken Shells260515.495.25270102150Ta. If she wants to limit her lunch to 400 calories but get 30 gof protein and 10 g of fiber, what proportions of servingsof Mac and Cheese, broccoli, and chicken should she use?propor-Tb. She found that there was too much broccoli in thetions from part (a), so she decided to switch from classicalMac and Cheese to Annie's Whole Wheat Shells andWhite Cheddar. What proportions of servings of eachfood should she use to meet the same goals as in part (a)?4. The Cambridge Diet supplies 8 g of calcium per day, inaddition to the nutrients listed in Table 1 for Example 1.The amounts of calcium per unit (100 g) supplied by thethree ingredients in the Cambridge Diet are as follows: 1,26 gfrom nonfat milk, .19 g from soy flour, and .8 g from whey.Another ingredient in the diet mixture is isolated soy protein,which provides the following nutrients in each unit: 80 gof protein, 0 g of carbohydrate, 3.4 g of fat, and 18 g ofcalcium.a. Set up a matrix equation whose solution determines theamounts of nonfat milk, soy flour, whey, and isolatedsoy protein necessary to supply the precise amountsof protein, carbohydrate, fat, and calcium in the Cam-bridge Diet. State what the variables in the equationrepresent.Tb. Solve the equation in (a) and discuss your answer.T In Exercises 5-8, write a matrix equation that determines theloop currents. If MATLAB or another matrix program is available.solve the system for the loop currents.

Accepted Answer

Let x be the servings of Mac n Cheese, y be the servings of Broccoli and z be the serving of…

Nutrition Information per Serving Nutrient Mac and Cheese Broccoli Chicken Calories 70 Protein (g) 15 Fiber (g) 0 270 10 2 51 5.4 5.2 Shells 260 9 5