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Many of Exercises 29-40 are similar or identical to ones in preceding exercise sets. Use duality to answer them.
Nutrition Gerber Products’ Gerber Mixed Cereal for Baby contain, in each serving, 60 calories, no vitamin C, and 11 gram of carbohydrates. Each serving of Gerber Mango Tropical Fruit Dessert contain 80 calorie, 45% of the U.S. Recommended Daily Allowance (RDA) of vitamin C for Infant, and 21 grams of carbohydrates. Each serving of Gerber Apple Banana Juke contain 60 calorie, 120% of the U.S. RDA of vitamin C for infants, and 15 grams of carbohydrate.42 Assume that the cereal costs 11 ¢ per serving. the dessert cost 50¢ per serving, and the juice costs 30¢ per serving. If you want to provide your child with at least 180 calorie, at least 120% of the U.S. RDA of vitamin C. and at least 37 grams of carbohydrates, how can you do oat the least cost? What are your shadow costs for calories, vitamin C, and carbohydrates?
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Chapter 5 Solutions
Bundle: Finite Mathematics, Loose-leaf Version, 7th + WebAssign Printed Access Card for Waner/Costenoble's Finite Mathematics, 7th Edition, Single-Term
- Diet Program Nicole started a new diet that requires each meal to have 460 calories, 6 g of fiber, and 11 g of fat. The table shows the fiber, fat, and Calorie content of one serving of each of three breakfast foods. How many servings of each food should Nicole eat to follow her diet!arrow_forwardCholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There are three main types of cholesterol: HDL (high-density lipoproteins), LDL (low-density lipoproteins), and VLDL (very low-density lipoproteins). HDL is considered “good” cholesterol; LDL and VLDL are considered “bad” cholesterol. A standard fasting cholesterol blood test measures total cholesterol, HDL cholesterol, and triglycerides. These numbers are used to estimate LDL and VLDL, which are difficult to measure directly. Your doctor recommends that your combined LDL/VLDL cholesterol level be less than 130 milligrams per deciliter, your HDL cholesterol level be at least 60 milligrams per deciliter, and your total cholesterol level be no more than 200 milligrams per deciliter. (a) Write a system of linear inequalities for the recommended cholesterol levels. Let x represent the HDL cholesterol level, and let y represent the combined LDL VLDL cholesterol level. (b) Graph the system of inequalities from part (a). Label any vertices of the solution region. (c) Is the following set of cholesterol levels within the recommendations? Explain. LDL/VLDL: 120 milligrams per deciliter HDL: 90 milligrams per deciliter Total: 210 milligrams per deciliter (d) Give an example of cholesterol levels in which the LDL/VLDL cholesterol level is too high but the HDL cholesterol level is acceptable. (e) Another recommendation is that the ratio of total cholesterol to HDL cholesterol be less than 4 (that is, less than 4 to 1). Identify a point in the solution region from part (b) that meets this recommendation, and explain why it meets the recommendation.arrow_forward
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
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