Finite Mathematics for the Managerial, Life, and Social Sciences
12th Edition
ISBN: 9781337405782
Author: Soo T. Tan
Publisher: Cengage Learning
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Textbook Question
Chapter 3.2, Problem 10E
CROP PLANNING A farmer plans to plant two crops, A and B. The cost of cultivating Crop A is $40/acre, whereas the cost of cultivating Crop B is $60/acre. The farmer has a maximum of $7400 available for land cultivation. Each acre of Crop A requires 20 labor-hours, and each acre of Crop B requires 25 labor-hours. The farmer has a maximum of 3300 labor-hours available. If she expects to make a profit of $150/acre on Crop A and $200/acre on Crop B, how many acres of each crop should she plant to maximize her profit?
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Chapter 3 Solutions
Finite Mathematics for the Managerial, Life, and Social Sciences
Ch. 3.1 - a. What is the difference between the graph of the...Ch. 3.1 - Prob. 2CQCh. 3.1 - In Exercises 110, find the graphical solution to...Ch. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - In Exercises 110, find the graphical solution to...Ch. 3.1 - In Exercises 110, find the graphical solution to...Ch. 3.1 - In Exercises 110, find the graphical solution to...Ch. 3.1 - In Exercises 110, find the graphical solution to...Ch. 3.1 - In Exercises 110, find the graphical solution to...
Ch. 3.1 - Prob. 9ECh. 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 - Prob. 15ECh. 3.1 - Prob. 16ECh. 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 - Prob. 19ECh. 3.1 - Prob. 20ECh. 3.1 - Prob. 21ECh. 3.1 - Prob. 22ECh. 3.1 - In Exercises 2340, determine graphically the...Ch. 3.1 - Prob. 24ECh. 3.1 - In Exercises 2340, determine graphically the...Ch. 3.1 - Prob. 26ECh. 3.1 - In Exercises 2340, determine graphically the...Ch. 3.1 - Prob. 28ECh. 3.1 - Prob. 29ECh. 3.1 - In Exercises 2340, determine graphically the...Ch. 3.1 - Prob. 31ECh. 3.1 - Prob. 32ECh. 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 - Prob. 36ECh. 3.1 - Prob. 37ECh. 3.1 - Prob. 38ECh. 3.1 - Prob. 39ECh. 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 - Prob. 45ECh. 3.1 - In Exercises 45-48, determine whether the...Ch. 3.1 - Prob. 47ECh. 3.1 - Prob. 48ECh. 3.2 - What is a Linear programming problem?Ch. 3.2 - Suppose you are asked to formulate a linear...Ch. 3.2 - Prob. 3CQCh. 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 - Prob. 22ECh. 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 - Prob. 26ECh. 3.2 - ASSET ALLOCATION Ashley has earmarked at most...Ch. 3.2 - Prob. 28ECh. 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 - Prob. 2CQCh. 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 - Prob. 4ECh. 3.3 - Prob. 5ECh. 3.3 - Prob. 6ECh. 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 - Prob. 11ECh. 3.3 - Prob. 12ECh. 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 - Prob. 16ECh. 3.3 - In Exercises 730, solve each linear programming...Ch. 3.3 - In Exercises 730, solve each linear programming...Ch. 3.3 - Prob. 19ECh. 3.3 - Prob. 20ECh. 3.3 - Prob. 21ECh. 3.3 - Prob. 22ECh. 3.3 - In Exercises 730, solve each linear programming...Ch. 3.3 - Prob. 24ECh. 3.3 - Prob. 25ECh. 3.3 - Prob. 26ECh. 3.3 - Prob. 27ECh. 3.3 - Prob. 28ECh. 3.3 - Prob. 29ECh. 3.3 - Prob. 30ECh. 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 - Prob. 34ECh. 3.3 - Prob. 35ECh. 3.3 - Prob. 36ECh. 3.3 - The problems in Exercises 31-51 correspond to...Ch. 3.3 - The problems in Exercises 31-51 correspond to...Ch. 3.3 - Prob. 39ECh. 3.3 - Prob. 40ECh. 3.3 - Prob. 41ECh. 3.3 - The problems in Exercises 31-51 correspond to...Ch. 3.3 - Prob. 43ECh. 3.3 - Prob. 44ECh. 3.3 - The problems in Exercises 31-51 correspond to...Ch. 3.3 - The problems in Exercises 31-51 correspond to...Ch. 3.3 - Prob. 47ECh. 3.3 - Prob. 48ECh. 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 - Prob. 55ECh. 3.3 - PRODUCTION SCHEDULING Bata Aerobics manufactures...Ch. 3.3 - Prob. 57ECh. 3.3 - Prob. 58ECh. 3.3 - Prob. 59ECh. 3.3 - Prob. 60ECh. 3.3 - Prob. 61ECh. 3.3 - Prob. 62ECh. 3.3 - Prob. 63ECh. 3.3 - Prob. 64ECh. 3.4 - Suppose P=3x+4y is the objective function in a...Ch. 3.4 - Prob. 2CQCh. 3.4 - Prob. 3CQCh. 3.4 - Prob. 1ECh. 3.4 - Prob. 2ECh. 3.4 - Prob. 3ECh. 3.4 - SHADOW PRICES Refer to Example 2. a. Find the...Ch. 3.4 - Prob. 5ECh. 3.4 - Prob. 6ECh. 3.4 - Prob. 7ECh. 3.4 - Prob. 8ECh. 3.4 - Prob. 9ECh. 3.4 - Prob. 10ECh. 3.4 - Prob. 11ECh. 3.4 - Prob. 12ECh. 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 - Prob. 16ECh. 3.4 - PRODUCTION SCHEDULING Kane Manufacturing has a...Ch. 3.4 - Prob. 18ECh. 3.CRQ - Fill in the blanks. a. The solution set of the...Ch. 3.CRQ - Prob. 2CRQCh. 3.CRQ - Fill in the blanks. A linear programming problem...Ch. 3.CRQ - Prob. 4CRQCh. 3.CRQ - Fill in the blanks. In sensitivity analysis, we...Ch. 3.CRQ - Prob. 6CRQCh. 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 - Prob. 1BMOCh. 3.BMO - Prob. 2BMOCh. 3.BMO - Prob. 3BMOCh. 3.BMO - Prob. 4BMOCh. 3.BMO - Prob. 5BMO
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- Redo Exercise 5, assuming that the house blend contains 300 grams of Colombian beans, 50 grams of Kenyan beans, and 150 grams of French roast beans and the gourmet blend contains 100 grams of Colombian beans, 350 grams of Kenyan beans, and 50 grams of French roast beans. This time the merchant has on hand 30 kilograms of Colombian beans, 15 kilograms of Kenyan beans, and 15 kilograms of French roast beans. Suppose one bag of the house blend produces a profit of $0.50, one bag of the special blend produces a profit of $1.50, and one bag of the gourmet blend produces a profit of $2.00. How many bags of each type should the merchant prepare if he wants to use up all of the beans and maximize his profit? What is the maximum profit?arrow_forwardIn Example 3, if the accountant earns a profit of 100 on each individual return and a profit of 175 on each business return, find the maximum profit. An accountant prepares tax returns for individuals and for small businesses. On average, each individual return requires 3 hours of her time and 1 hour of computer time. Each business return requires 4 hours of her time and 2 hours of computer time. Because of other business considerations, her time is limited to 240 hours, and the computer time is limited to 100 hours. If she earns a profit of 80 on each individual return and a profit of 150 on each business return, how many returns of each type should she prepare to maximize her profit?arrow_forwardIf during the following year it is predicted that each comedy skit will generate 30 thousand and each musical number 20 thousand, find the maximum income for the year. A television program director must schedule comedy skits and musical numbers for prime-time variety shows. Each comedy skit requires 2 hours of rehearsal time, costs 3000, and brings in 20,000 from the shows sponsors. Each musical number requires 1 hour of rehearsal time, costs 6000, and generates 12,000. If 250 hours are available for rehearsal and 600,000 is budgeted for comedy and music, how many segments of each type should be produced to maximize income? Find the maximum income.arrow_forward
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