2. A Hungry Student A student has only three things in her cupboard: poptarts, trail mix, and beef jerky. She needs a meal with 1450 calories, 60 grams of fat, and 180 mg of sodium. Per serving, poptarts have 200 calories, 10 grams of fat, and 30 mg of sodium. Per 50-gram serving, trail mix has 150 calories, 5 grams of fat, and 15 mg of sodium. Per 100-gram serving, beef jerky has 550 calories, 20 grams of fat, and 60 mg of sodium. (a) The student will construct her meal by solving a linear algebra problem, with equations and variables. Please fill in the blanks and then write the linear system below. Be sure to also clearly define each variable and indicate what each equation represents. (Use units of servings for food.) (b) What is the augmented matrix for this problem? Please reduce this matrix to Reduced Row Echelon Form. Be sure to label all of your row operations. Hint: the computations to find the RREF may be much easier if you exchange certain rows first. Take a moment to strategize before before you begin