Question 1. The following bullets describe the 1vitamin content in mg [for Vitamin A, Vitamin C, and Folate} of a single serving of tour dilierent types of fruits and vegetables: I Each serving of apple contains [M315 mg of Vitamin A, .5 mg of Vitamin C, and 0.12103 mg of Eblate. I Each serving of banana contains Gill-3 mg of Vitamin A, ll] mg of Vitamin C, and 0.015 mg of Folate. I Each serving of cherries contains [1.012 mg of Vitamin .FL, ll] mg of Vitamin C, and 0.094 mg of Folate. I Each serving of broccoli contains 0.2 mg of Vitamin A, 110 mg of Vitamin E, and no Folate. 1. Suppose you are on a strict diet, and insist on a daily intake of Ila mg of Vitamin A, El] mg of Vitamin C, and 0.4 mg of Folate. Set up a linear system of equations for 3:,\" r5, :1:E and an, the number of servings of apples, bananas, cherries, and broccoli, respectively, which you will consume on a daily basis in order to meet your dietary restrictions. For this first question, you do NOT need to solve the system of equations, just prm'ide the equations, and explain where they come hum. '2. Write the linear system from question 1.1 as an augmented matrix, and bring the augmented matrix to reduced row echelon form. You may use online aids to [In this, but you should indicate when this was done. 3. Solve the linear system from question 1.1, describing the general solution, ifit exists, using parameters it they are needed. It a solution does not exist, explain how you know this is the case. 4-. Is it pom'ble to meet your dietary restrictions by eating only apple, banana, cherries, and broccoli? If the answer is yes, justify this by providing an explicit dietary plan. If the answer is no, explain how you know this is the case