Breathtakers, a health and fitness center, operates a morning fitness program for senior citizens. The program includes aerobic exercise, either swimming or step exercise, followed by a healthy breakfast in the dining room. Breathtakers' dietitian wants to develop a breakfast that will be high in calories, calcium, protein, and fiber, which are especially important to senior citizens, but low in fat and cholesterol. She also wants to minimize cost. She has selected the following possible food items, whose individual nutrient contributions and cost information are shown in the following table. The dietitian wants the breakfast to include at least 420 calories, 5 milligrams of iron, 400 milligrams of calcium, 20 grams of protein, and 12 grams of fiber. Furthermore, she wants to limit fat to no more than 20 grams and cholesterol to 30 milligrams. The dietitian wants the breakfast to include at least 420 calories, 5 milligrams of iron, 400 milligrams of calcium, 20 grams of protein, and 12 grams of fiber. Furthermore, she wants to limit fat to no more than 20 grams and cholesterol to 30 milligrams. Let X= cups of bran cereal X2 = cups of dry cereal x3 = cups of oatmeal X4 = cups of oat bran eggs X6 = slices of bacon oranges Xs = cups of milk X9 = cups of orange juice X10 = slices of wheat toast X5 = Breakfast Food Protein Cost Calcium (mg) 20 48 12 3 4 Calories Fat Cholesterol | Iron (g) (mg) (mg) 90 0 0 6 110 2 0 4 100 2 0 2 90 2 0 75 5 270 1 35 3 8 0 65 0 0 1 100 4 12 0 120 0 0 0 65 1 0 1 Fiber (g) 5 2 3 4 0 Bran cereal (cup) Dry cereal (cup) Oatmeal (cup) Oat bran (cup) Egg Bacon (slice) Orange Milk - 2% Orange juice (cup) Wheat toast (slice) 8 30 0 5 6 7 2 1 9 $0.18 0.22 0.10 0.12 0.10 0.09 0.40 0.16 0.50 0.07 0 1 0 52 250 3 26 1 0 3 3 Min z 0.18x1+ 0.22x2+ 0.10x3+ 0.12x4+ 0.10X5+ 0.09x6+ 0.40x7+ 0.16Xs+ 0.50x9+ 0.07X10 = s.t. 90x1+ 65xz+ 120x9+ 110x2+ 100x3+ 2x2+ 2x3+ 90X4+ 2x4+ 35X6+ 3X8+ 8x6 100x8+ 4x3+ 12xs 75x5+ 5x5+ 270x5 1xs 30xs 7x5 3x4 8x4 20x1 3x1 5x1 2x: 12x: 5x 3x3 48x2 4x2 65X10 420 Min. amt of calories 1x10 20 Max. amt of fat