Problem
You have a patient on a special diet whose daily requirement of five nutrients is 60 milligrams of vitamin D, 1,000 milligrams of calcium, 18 milligrams of iron, 20 milligrams of Zinc, and 360 milligrams of magnesium. You have two supplements to choose from: Multi 1 and Multi 2. Multi 1 costs 20 cents per tablet, and Multi 2 costs 30 cents per tablet. Multi 1 contains 20 milligrams of vitamin D, 500 milligrams of calcium, 9 milligrams of iron, 2 milligrams of Zinc, and 60 milligrams of magnesium. Multi 2 contains 30 milligrams of vitamin D, 250 milligrams of calcium, 2 milligrams of iron, 10 milligrams of Zinc, and 90 milligrams of magnesium. How many of each tablet should the patient take to meet their minimum requirements while costing the least amount of money?