You are tasked with finding the right combination of food for a school lunch in order to best accommodate student nutrition. The lunch is supposed to provide 40% of daily calcium (grams), 40% of daily fiber (10 grams), 40% of daily fat (26 grams), and 20% of daily sugar (10g). The table below gives your choice of lunch items and their nutrition facts: (the school has a tight budget) Item string cheese 1/3 Calcium (g) Fiber(g) Fat (g) Sugar(g) 0 5 0 hash browns 0 3/2 9 0 apple 0 4 0 19 Set up a matrix equation to try to solve the problem of how much of each food item the lunch should consist of in order to meet the desired daily values. If there is a solution to this system, find it. Otherwise solve the associated least squares problem associated with this problem. In either, case what is the solution and what does it represent? What is the nutritional value of this lunch?