1. Solve the following problem by hand showing every detail on your graph such as shading of each constraint, feasible region, all labels for variables and constraints. Show all the details of your calculations and comparisons to justify your final answer: A nutritionist at the Medical Center has been asked to prepare a special diet for certain patients. She has decided that the meals should contain a minimum of 400 mg of calcium, 10 mg of iron, and 40 mg of vitamin C. She has further decided that the meals are to be prepared from Foods A and B. Each ounce of Food A contains 30 mg of calcium, 1 mg of iron, 2 mg of vitamin C, and 2 mg of cholesterol. Each ounce of Food B contains 25 mg of calcium, 0.5 mg of iron, 5 mg of vitamin C, and 5 mg of cholesterol. How many ounces of each type of food should be used in a meal so that the cholesterol content is minimized, and the minimum requirements of calcium, iron, and vitamin C are met? What is the minimum cholesterol content? (Make sure to present your graph with the feasible region and constraints shaded and labeled clearly) 2. Solve Problem 1 using Excel's "Solver" Add-in. Present your work in an organized fashion like we have done in the class so that whoever looks at your work can understand clearly what every cell represents