compute the chart as a managerial report. must translate the allowable increase and decrease into the exact upper and lower limits.
Optimal z-value Variable Value Reduced Costs Constraint Slack/Surplus Dual Prices Bran cereal Dry cereal Oatmeal Oat bran 1 (Minatofcalories) 2 (Max art of fat) 3 (Max ant of cholesterol) 4 ( Mamt of irony 5(Mil amt of calcium) 6(Miram of protein) (Min. And of fiber) E88 Bacon Orange MIK Orange Juice Wheat toast Current Value Upper Limit Range of Optimality Variable Lower Limi Bran cereal Dry cereal Oatmeal Oat bran Ees Bacon Orange Milk Orange Juice Wheat toast Lower Limit Current Value Upper Limit Range of Feasibility Constraint 1 Min amt of calories) 2 (Maxamt of fat) 3 3 Max amt of cholesterol) 4(Min amt. of iron) 5 (Min. amt. of calcium) 6 (Min. amt of protein) (Min. amt. of ber) A Diet Esample 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 serior 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 xs - eggs Xs - slices of bacon X7 - oranges X = cups of milk Xo = cups of orange juice X10 = slices of wheat toast Breaktast Food Calcium Protein Fiber Cost 3 Calones Fat Cholesterol Iron (mg) 90 0 6 110 2 0 4 100 0 2 90 2 0 3 05 5 1 35 8 0 65 0 1 100 4 12 0 120 0 0 0 05 1 0 1 Brani cereal (cup) Dry cereal (cup) Oatmeal (cup) Oat bran (cup ERA Bacon (Slice) Orange MIK - 24 Orange juice (cu Wheat toast slice Ollo 270 20 48 12 8 30 0 52 250 3 26 5 6 7 2 1 9 1 5 2 3 4 0 0 1 0 0 3 $0.18 0.22 0.10 0.12 0.10 0.09 0.40 0.16 0.50 0.07 Minz 0.18x1+ 0.22xz+ 0.10%8+ 0.1234+ 0.10Xe+ 0.09x+ 0.40x+ 0.16X4+ 0.50%+ 0.07%-10 s.t. 90x+ 90x4+ 120xot 110+ 2x+ 100x3+ 2x+ 2x + 75xs+ 5xst 270xs 35xst 3X+ 8x4 6x: 20x: 3x 5x 4x 48x: 4x4 2x 2x 12x 5x 3x3 3x4 8x4 6x4 424 65xt 100x8+ 4x + 12x 1 52 250x 1x 9x3 1x 65x52420 Minamt of calories 1X5 S20 Max. amt of fat S30 Max amt of cholesterol 1x13 Min amt of iron 26x10400 Min amt of calcium 3X10 20 Min amt of protein 3x10 12 Min amt of fiber 20 Non-negativity 30x 7x5 3X 1x 2x Optimal z-value Variable Value Reduced Costs Constraint Slack/Surplus Dual Prices Bran cereal Dry cereal Oatmeal Oat bran 1 (Minatofcalories) 2 (Max art of fat) 3 (Max ant of cholesterol) 4 ( Mamt of irony 5(Mil amt of calcium) 6(Miram of protein) (Min. And of fiber) E88 Bacon Orange MIK Orange Juice Wheat toast Current Value Upper Limit Range of Optimality Variable Lower Limi Bran cereal Dry cereal Oatmeal Oat bran Ees Bacon Orange Milk Orange Juice Wheat toast Lower Limit Current Value Upper Limit Range of Feasibility Constraint 1 Min amt of calories) 2 (Maxamt of fat) 3 3 Max amt of cholesterol) 4(Min amt. of iron) 5 (Min. amt. of calcium) 6 (Min. amt of protein) (Min. amt. of ber) A Diet Esample 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 serior 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 xs - eggs Xs - slices of bacon X7 - oranges X = cups of milk Xo = cups of orange juice X10 = slices of wheat toast Breaktast Food Calcium Protein Fiber Cost 3 Calones Fat Cholesterol Iron (mg) 90 0 6 110 2 0 4 100 0 2 90 2 0 3 05 5 1 35 8 0 65 0 1 100 4 12 0 120 0 0 0 05 1 0 1 Brani cereal (cup) Dry cereal (cup) Oatmeal (cup) Oat bran (cup ERA Bacon (Slice) Orange MIK - 24 Orange juice (cu Wheat toast slice Ollo 270 20 48 12 8 30 0 52 250 3 26 5 6 7 2 1 9 1 5 2 3 4 0 0 1 0 0 3 $0.18 0.22 0.10 0.12 0.10 0.09 0.40 0.16 0.50 0.07 Minz 0.18x1+ 0.22xz+ 0.10%8+ 0.1234+ 0.10Xe+ 0.09x+ 0.40x+ 0.16X4+ 0.50%+ 0.07%-10 s.t. 90x+ 90x4+ 120xot 110+ 2x+ 100x3+ 2x+ 2x + 75xs+ 5xst 270xs 35xst 3X+ 8x4 6x: 20x: 3x 5x 4x 48x: 4x4 2x 2x 12x 5x 3x3 3x4 8x4 6x4 424 65xt 100x8+ 4x + 12x 1 52 250x 1x 9x3 1x 65x52420 Minamt of calories 1X5 S20 Max. amt of fat S30 Max amt of cholesterol 1x13 Min amt of iron 26x10400 Min amt of calcium 3X10 20 Min amt of protein 3x10 12 Min amt of fiber 20 Non-negativity 30x 7x5 3X 1x 2x