DIET PLANNING A nutritionist at the Medical Center has been asked to prepare a special diet for certain patients. She has decided that the meals are to be prepared from Foods A and B and that the meals should contain a mini-mum of 400 mg of calcium, 10 mg of iron, and 40 mg of vitamin C. Each ounce of Food A contains 30 mg of calcium, 1 mg of iron, 2 mg of vitamin C, and 2 mg of cholesterol. Each ounce of Food B contains 25 mg of calcium, 0.5 mg of iron, 5 mg of vitamin C, and 5 mg of cholesterol. How many ounces of each type of food should be used in a meal so that the cholesterol content is minimized and the minimum requirements of calcium, iron, and vitamin C are met?

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Finite Mathematics for the Manager...

12th Edition
Soo T. Tan
Publisher: Cengage Learning
ISBN: 9781337405782
BuyFind

Finite Mathematics for the Manager...

12th Edition
Soo T. Tan
Publisher: Cengage Learning
ISBN: 9781337405782

Solutions

Chapter 3.2, Problem 17E
Textbook Problem

DIET PLANNING A nutritionist at the Medical Center has been asked to prepare a special diet for certain patients. She has decided that the meals are to be prepared from Foods A and B and that the meals should contain a mini-mum of 400 mg of calcium, 10 mg of iron, and 40 mg of vitamin C. Each ounce of Food A contains 30 mg of calcium, 1 mg of iron, 2 mg of vitamin C, and 2 mg of cholesterol. Each ounce of Food B contains 25 mg of calcium, 0.5 mg of iron, 5 mg of vitamin C, and 5 mg of cholesterol. How many ounces of each type of food should be used in a meal so that the cholesterol content is minimized and the minimum requirements of calcium, iron, and vitamin C are met?

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Chapter 3 Solutions

Finite Mathematics for the Managerial, Life, and Social Sciences
Ch. 3.1 - In Exercises 110, find the graphical solution of...Ch. 3.1 - In Exercises 110, find the graphical solution of...Ch. 3.1 - In Exercises 11-18, write a system of linear...Ch. 3.1 - In Exercises 11-18, write a system of linear...Ch. 3.1 - In Exercises 11-18, write a system of linear...Ch. 3.1 - In Exercises 11-18, write a system of linear...Ch. 3.1 - In Exercises 11-18, write a system of linear...Ch. 3.1 - In Exercises 11-18, write a system of linear...Ch. 3.1 - In Exercises 11-18, write a system of linear...Ch. 3.1 - In Exercises 11-18, write a system of linear...Ch. 3.1 - Exercises 1922 make use of the results of...Ch. 3.1 - Exercises 1922 make use of the results of...Ch. 3.1 - Exercises 1922 make use of the results of...Ch. 3.1 - Exercises 1922 make use of the results of...Ch. 3.1 - In Exercises 2340, determine graphically the...Ch. 3.1 - In Exercises 2340, determine graphically the...Ch. 3.1 - In Exercises 2340, determine graphically the...Ch. 3.1 - In Exercises 2340, determine graphically the...Ch. 3.1 - In Exercises 2340, determine graphically the...Ch. 3.1 - In Exercises 2340, determine graphically the...Ch. 3.1 - In Exercises 2340, determine graphically the...Ch. 3.1 - In Exercises 2340, determine graphically the...Ch. 3.1 - In Exercises 23 - 40, determine graphically the...Ch. 3.1 - In Exercises , determine graphically the solution...Ch. 3.1 - In Exercises , determine graphically the solution...Ch. 3.1 - In Exercises 2340, determine graphically the...Ch. 3.1 - In Exercises 23 - 40, determine graphically the...Ch. 3.1 - In Exercises 23 - 40, determine graphically the...Ch. 3.1 - In Exercises 23 - 40, determine graphically the...Ch. 3.1 - In Exercises 23 - 40, determine graphically the...Ch. 3.1 - In Exercises 2340, determine graphically the...Ch. 3.1 - In Exercises 2340, determine graphically the...Ch. 3.1 - CONCERT ATTENDANCE The Peninsula Brass Band will...Ch. 3.1 - MANUFACTURING FERTILIZERSAgro Products makes two...Ch. 3.1 - Investments Louisa has earmarked at most 250,000...Ch. 3.1 - DIET PLANNING A dietitian whishes to plan a meal...Ch. 3.1 - In Exercises 45-48, determine whether the...Ch. 3.1 - In Exercises 45-48, determine whether the...Ch. 3.1 - In Exercises 45-48, determine whether the...Ch. 3.1 - In Exercises 45-48, determine whether the...Ch. 3.2 - What is a Linear programming problem?Ch. 3.2 - Suppose you are asked to formulate a linear...Ch. 3.2 - What is the difference in a maximization linear...Ch. 3.2 - Formulate but do not solve each of the following...Ch. 3.2 - Formulate but do not solve each of the following...Ch. 3.2 - Formulate but do not solve each of the following...Ch. 3.2 - Formulate but do not solve each of the following...Ch. 3.2 - PRODUCTION SCHEDULING A division of the Winston...Ch. 3.2 - PRODUCTION SCHEDULING Refer to Exercise 5. If the...Ch. 3.2 - ALLOCATION OF FUNDS Madison Finance has a total of...Ch. 3.2 - ASSET ALLOCATION A financier plans to invest up to...Ch. 3.2 - ASSET ALLOCATION Justin has decided to invest at...Ch. 3.2 - CROP PLANNING A farmer plans to plant two crops, A...Ch. 3.2 - MINIMIZING MINING COSTS Perth Mining Company...Ch. 3.2 - MINIMIZING CRUISE LINE COSTS Deluxe River Cruises...Ch. 3.2 - PRODUCTION SCHEDULING Acoustical Company...Ch. 3.2 - FERTILIZERS A farmer uses two types of...Ch. 3.2 - MINIMIZING CITY WATER COSTS The water-supply...Ch. 3.2 - PRODUCTION SCHEDULING Ace Novelty manufactures...Ch. 3.2 - DIET PLANNING A nutritionist at the Medical Center...Ch. 3.2 - OPTIMIZING ADVERTISING EXPOSURE Everest Deluxe...Ch. 3.2 - MINIMIZING SNIPPING COSTS TMA manufactures 37-in....Ch. 3.2 - SOCIAL PROGRAMS PLANNING AntiFam a hunger-relief...Ch. 3.2 - MINIMIZING SHIPPING COSTS The Green Company...Ch. 3.2 - PRODUCTION SCHEDULING A company manufactures...Ch. 3.2 - MINIMIZING SHIPPING COSTS Singer Motor Corporation...Ch. 3.2 - OPTIMIZING ADVERTISING EXPOSURE As part of a...Ch. 3.2 - PRODUCTION SCHEDULING Custom Office Furniture...Ch. 3.2 - ASSET ALLOCATION A financier plans to invest up to...Ch. 3.2 - ASSET ALLOCATION Ashley has earmarked at most...Ch. 3.2 - OPTIMIZING PREFABRICATED HOUSING PRODUCTION Boise...Ch. 3.2 - MINIMIZING SHIPPING COSTS Acrosonic of Example 4...Ch. 3.2 - OPTIMIZING PRODUCTION OF COLD FORMULAS Beyer...Ch. 3.2 - OPTIMIZING PRODUCTION OF BLENDED JUICES Caljuice...Ch. 3.2 - MINIMIZING SHIPPING COSTS Steinwelt Piano...Ch. 3.2 - In Exercises 33 and 34, determine whether the...Ch. 3.2 - In Exercises 33 and 34, determine whether the...Ch. 3.3 - a. What is the feasible set associated with the...Ch. 3.3 - Describe the method of corners.Ch. 3.3 - In Exercises 16, find maximum and/or minimum...Ch. 3.3 - In Exercises 16, find maximum and/or minimum...Ch. 3.3 - In Exercises 16, find maximum and/or minimum...Ch. 3.3 - In Exercises 16, find maximum and/or minimum...Ch. 3.3 - In Exercises 16, find maximum and/or minimum...Ch. 3.3 - In Exercises 16, find maximum and/or minimum...Ch. 3.3 - In Exercises 730, solve each linear programming...Ch. 3.3 - In Exercises 730, solve each linear programming...Ch. 3.3 - In Exercises 730, solve each linear programming...Ch. 3.3 - In Exercises 730, solve each linear programming...Ch. 3.3 - In Exercises 730, solve each linear programming...Ch. 3.3 - In Exercises 730, solve each linear programming...Ch. 3.3 - In Exercises 730, solve each linear programming...Ch. 3.3 - In Exercises 730, solve each linear programming...Ch. 3.3 - In Exercises 730, solve each linear programming...Ch. 3.3 - In Exercises 730, solve each linear programming...Ch. 3.3 - In Exercises 730, solve each linear programming...Ch. 3.3 - In Exercises 730, solve each linear programming...Ch. 3.3 - In Exercises 730, solve each linear programming...Ch. 3.3 - In Exercises 730, solve each linear programming...Ch. 3.3 - In Exercises 730, solve each linear programming...Ch. 3.3 - In Exercises 730, solve each linear programming...Ch. 3.3 - In Exercises 730, solve each linear programming...Ch. 3.3 - In Exercises 730, solve each linear programming...Ch. 3.3 - In Exercises 730, solve each linear programming...Ch. 3.3 - In Exercises 730, solve each linear programming...Ch. 3.3 - In Exercises 730, solve each linear programming...Ch. 3.3 - In Exercises 730, solve each linear programming...Ch. 3.3 - In Exercises , solve each linear programming...Ch. 3.3 - In Exercises 730, solve each linear programming...Ch. 3.3 - The problems in Exercises 31-51 correspond to...Ch. 3.3 - PRODUCTION SCHEDULING National Business machines...Ch. 3.3 - The problems in Exercises 31-51 correspond to...Ch. 3.3 - The problems in Exercises 31-51 correspond to...Ch. 3.3 - The problems in Exercises 31-51 correspond to...Ch. 3.3 - The problems in Exercises 31-51 correspond to...Ch. 3.3 - The problems in Exercises 31-51 correspond to...Ch. 3.3 - The problems in Exercises 31-51 correspond to...Ch. 3.3 - ASSEST ALLOCATION Justin has decided to invest at...Ch. 3.3 - The problems in Exercises 31-51 correspond to...Ch. 3.3 - The problems in Exercises 31-51 correspond to...Ch. 3.3 - The problems in Exercises 31-51 correspond to...Ch. 3.3 - The problems in Exercises 31-51 correspond to...Ch. 3.3 - The problems in Exercises 31-51 correspond to...Ch. 3.3 - The problems in Exercises 31-51 correspond to...Ch. 3.3 - The problems in Exercises 31-51 correspond to...Ch. 3.3 - The problems in Exercises 31-51 correspond to...Ch. 3.3 - The problems in Exercises 31-51 correspond to...Ch. 3.3 - MINIMIZING SHIPPING COSTS TMA manufactures 37-in....Ch. 3.3 - The problems in Exercises 31-51 correspond to...Ch. 3.3 - The problems in Exercises 31-51 correspond to...Ch. 3.3 - TRANSPORTATION Complete the solution to Example 3,...Ch. 3.3 - MAXIMIZING INVESTMENT RETURNS Patricia has at most...Ch. 3.3 - VETERINARY SCIENCE A veterinarian has been asked...Ch. 3.3 - MARKET RESEARCH Trendex, a telephone survey...Ch. 3.3 - PRODUCTION SCHEDULING Bata Aerobics manufactures...Ch. 3.3 - In Exercises 57-59, determine whether the...Ch. 3.3 - In Exercises 57-59, determine whether the...Ch. 3.3 - In Exercises 57-59, determine whether the...Ch. 3.3 - Suppose you are given the following linear...Ch. 3.3 - Suppose you are given the following linear...Ch. 3.3 - Consider the linear programming problem Maximize...Ch. 3.3 - Consider the linear programming problem Minimize...Ch. 3.3 - Consider the linear programming problem Minimize...Ch. 3.4 - Suppose P=3x+4y is the objective function in a...Ch. 3.4 - Given the Linear programming problem. Maximize,...Ch. 3.4 - Explain the meaning of a a shadow price. b a...Ch. 3.4 - OPTIMIZING PROFIT Refer to the production problem...Ch. 3.4 - OPTIMIZING PROFIT Refer to the production problem...Ch. 3.4 - OPTIMIZING PROFIT Refer to Example 2. a. Find the...Ch. 3.4 - SHADOW PRICES Refer to Example 2. a. Find the...Ch. 3.4 - In Exercise 510 you are given a linear programming...Ch. 3.4 - In a exercise 510, you are given a linear...Ch. 3.4 - In a exercise 510, you are given a linear...Ch. 3.4 - In a exercise 510, you are given a linear...Ch. 3.4 - In an Exercise 510, you are given a linear...Ch. 3.4 - In a exercise 510, you are given a linear...Ch. 3.4 - PRODUCTION SCHEDULING A company manufactures two...Ch. 3.4 - CROP PLANNING A farmer plans to plant two crops, A...Ch. 3.4 - MINIMIZING COSTS Perth Mining Company operates two...Ch. 3.4 - MINIMIZING CRUISE LINE COSTS Deluxe River Cruises...Ch. 3.4 - PRODUCTION SCHEDULING Soundex produces two models...Ch. 3.4 - PRODUCTION SCHEDULING Refer to Exercise 15. a. If...Ch. 3.4 - PRODUCTION SCHEDULING Kane Manufacturing has a...Ch. 3.4 - PRODUCTION SCHEDULING Refer to Exercise 17. a. If...Ch. 3.CRQ - Fill in the blanks. a. The solution set of the...Ch. 3.CRQ - Fill in the blanks. a. The solution set of a...Ch. 3.CRQ - Fill in the blanks. A linear programming problem...Ch. 3.CRQ - Fill in the blanks. a. If a linear programming...Ch. 3.CRQ - Fill in the blanks. In sensitivity analysis, we...Ch. 3.CRQ - Fill in the blanks. The shadow price for the i th ...Ch. 3.CRE - In Exercise 1 and 2, find the optimal value s of...Ch. 3.CRE - In Exercise 1 and 2, find the optimal value s of...Ch. 3.CRE - In Exercises 314, use the method of corners to...Ch. 3.CRE - In Exercises 314, use the method of corners to...Ch. 3.CRE - In Exercise 3-14, use the method of corner to...Ch. 3.CRE - In Exercise 3-14, use the method of corners to...Ch. 3.CRE - In Exercise 3-14, use the method of corner to...Ch. 3.CRE - In Exercise 3-14, use the method of corner to...Ch. 3.CRE - In Exercise 3-14, use the method of corner to...Ch. 3.CRE - In Exercise 3-14, use the method of corner to...Ch. 3.CRE - In Exercise 3-14, use the method of corner to...Ch. 3.CRE - In Exercise 3-14, use the method of corner to...Ch. 3.CRE - In Exercise 3-14, use the method of corner to...Ch. 3.CRE - In Exercise 3-14, use the method of corner to...Ch. 3.CRE - FINANCIALANALYSIS An investor has decided to...Ch. 3.CRE - PRODUCTION SCHEDULING Soundex produces two model...Ch. 3.CRE - PRODUCTION SCHEDULING Kane Manufacturing has a...Ch. 3.CRE - MINIMIZING SHIPPING COSTS A manufacturer of...Ch. 3.BMO - Determine graphically the solution set for the...Ch. 3.BMO - Find the maximum and minimum values of Z=3xy on...Ch. 3.BMO - Maximize P=x+3y Subjected to 2x+3y113x+7y24x0,y0Ch. 3.BMO - Minimize C=4x+y Subjected to...Ch. 3.BMO - Sensitivity Analysis. Consider the following...

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