Finite Mathematics for the Managerial, Life, and Social Sciences
Finite Mathematics for the Managerial, Life, and Social Sciences
12th Edition
ISBN: 9781337405782
Author: Soo T. Tan
Publisher: Cengage Learning
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Chapter 4.CRQ, Problem 1CRQ
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In a maximization problem: the objective function is to be _______; all the variables involved in the problem are _________ ;and each linear constraint may be written so that expression involving the variables is _______ or ________ a non-negative constraint.

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Solve, a. A student earns $15 per hour for tutoring and $10 per hour as a teacher’s aide. Let x = the number of hours each week spent tutoring and let y = the number of hours each week spent as a teacher’s aide. Write the objective function that models total weekly earnings. b. The student is bound by the following constraints: ? To have enough time for studies, the student can work no more than 20 hours per week. ? The tutoring center requires that each tutor spend at least three hours per week tutoring. ? The tutoring center requires that each tutor spend no more than eight hours per week tutoring. Write a system of three inequalities that models these constraints. c. Graph the system of inqualities in part (b). Use only the first quadrant and its boundary, because x and y are nonnegative. d. Evaluate the objective function for total weekly earnings at each of the four vertices of the graphed region. [The vertices should occur at (3, 0), (8, 0), (3, 17), and (8, 12).] e. Complete the…
Which of the following is not an assumption underlying linear programming? a. the objective function can be expressed in terms of a linear equation. b. the constraints can be expressed in terms of linear equations or inequalities c. the usage of resources is known with certainty d. the decision variables can take only integral values e. the total usage of a resource is the sum of the resources used by each decision variable.

Chapter 4 Solutions

Finite Mathematics for the Managerial, Life, and Social Sciences

Ch. 4.1 - In Exercises 7-16, determine whether the given...Ch. 4.1 - Prob. 9ECh. 4.1 - Prob. 10ECh. 4.1 - Prob. 11ECh. 4.1 - Prob. 12ECh. 4.1 - Prob. 13ECh. 4.1 - In Exercises 7-16, determine whether the given...Ch. 4.1 - Prob. 15ECh. 4.1 - Prob. 16ECh. 4.1 - Prob. 17ECh. 4.1 - Prob. 18ECh. 4.1 - In Exercise 17-31, solve each linear programming...Ch. 4.1 - Prob. 20ECh. 4.1 - In Exercise 17-31, solve each linear programming...Ch. 4.1 - In Exercise 17-31, solve each linear programming...Ch. 4.1 - In Exercise 17-31, solve each linear programming...Ch. 4.1 - Prob. 24ECh. 4.1 - Prob. 25ECh. 4.1 - In Exercise 17-31, solve each linear programming...Ch. 4.1 - Prob. 27ECh. 4.1 - Prob. 28ECh. 4.1 - Prob. 29ECh. 4.1 - Prob. 30ECh. 4.1 - Prob. 31ECh. 4.1 - Prob. 32ECh. 4.1 - Prob. 33ECh. 4.1 - PRODUCTION SCHEDULING A company manufactures two...Ch. 4.1 - Production Scheduling National Business Machines...Ch. 4.1 - PRODUCTION SCHEDULING Kane Manufacturing has a...Ch. 4.1 - ASSETALLOCATION Justin has decided to invest at...Ch. 4.1 - ASSET ALLOCATION A financier plans to invest up to...Ch. 4.1 - PRODUCTION SCHEDULING A division of the Winston...Ch. 4.1 - CROP PLANNING A farmer has 150 acres of land...Ch. 4.1 - PRODUCTION SCHEDULING A company manufactures...Ch. 4.1 - ASSET ALLOCATION Ashley has earmarked at most...Ch. 4.1 - PRODUCTION SCHEDULING Ace Novelty manufactures...Ch. 4.1 - OPTIMIZING ADVERTISING EXPOSURE As part of a...Ch. 4.1 - PRODUCTION SCHEDULING Custom Office Furniture is...Ch. 4.1 - OPTIMIZING PROFIT FOR PREFABRICATED HOUSING Boise...Ch. 4.1 - ASSET ALLOCATION Sharon has a total of 200,000 to...Ch. 4.1 - OPTIMIZING PROFIT FOR BLENDED JUICE DRINKS...Ch. 4.1 - OPTIMIZING PROFIT FOR COLD FORMULAS Beyer...Ch. 4.1 - ASSET ALLOCATION A financier plans to invest up to...Ch. 4.1 - Consider the linear programming problem Maximize...Ch. 4.1 - Prob. 52ECh. 4.1 - Prob. 53ECh. 4.1 - Prob. 54ECh. 4.1 - Prob. 55ECh. 4.1 - Solve the linear programming problems. Maximize...Ch. 4.1 - Prob. 2TECh. 4.1 - Prob. 3TECh. 4.1 - Prob. 4TECh. 4.2 - Suppose you are given the linear programming...Ch. 4.2 - Prob. 2CQCh. 4.2 - Prob. 3CQCh. 4.2 - Prob. 4CQCh. 4.2 - Prob. 1ECh. 4.2 - Prob. 2ECh. 4.2 - Prob. 3ECh. 4.2 - In Exercise 16, use the technique developed in...Ch. 4.2 - Prob. 5ECh. 4.2 - Prob. 6ECh. 4.2 - Prob. 7ECh. 4.2 - Prob. 8ECh. 4.2 - Prob. 9ECh. 4.2 - Prob. 10ECh. 4.2 - Prob. 11ECh. 4.2 - In Exercise 1120, construct the dual problem...Ch. 4.2 - Prob. 13ECh. 4.2 - In Exercise 1120, construct the dual problem...Ch. 4.2 - In Exercises 1120, construct the dual problem...Ch. 4.2 - Prob. 16ECh. 4.2 - Prob. 17ECh. 4.2 - In Exercises 1120, construct the dual problem...Ch. 4.2 - Prob. 19ECh. 4.2 - In Exercises 1120, construct the dual problem...Ch. 4.2 - MINIMIZING CRUISE LINE COSTS Deluxe River Cruises...Ch. 4.2 - FERTILIZER COSTSA farmer uses two types of...Ch. 4.2 - DIET PLANNING The owner of the Health Juice Bar...Ch. 4.2 - OPTIMIZING ADVERTISING EXPOSURE Everest Deluxe...Ch. 4.2 - MINIMIZING SHIPPING Cons Acrosonic manufactures a...Ch. 4.2 - MINIMIZING SHIPPING COSTS Singer Motor Corporation...Ch. 4.2 - MINIMIZING OIL REFINERY COSTS An oil company...Ch. 4.2 - Prob. 28ECh. 4.2 - In Exercises 28 and 29, determine whether the...Ch. 4.2 - Prob. 1TECh. 4.2 - Prob. 2TECh. 4.2 - Prob. 3TECh. 4.2 - Prob. 4TECh. 4.3 - Explain why the following linear programming...Ch. 4.3 - Prob. 2CQCh. 4.3 - Prob. 3CQCh. 4.3 - Prob. 1ECh. 4.3 - Prob. 2ECh. 4.3 - Prob. 3ECh. 4.3 - Prob. 4ECh. 4.3 - Prob. 5ECh. 4.3 - Prob. 6ECh. 4.3 - Prob. 7ECh. 4.3 - Prob. 8ECh. 4.3 - Prob. 9ECh. 4.3 - Prob. 10ECh. 4.3 - Prob. 11ECh. 4.3 - Prob. 12ECh. 4.3 - Prob. 13ECh. 4.3 - In Exercises 520, use the method of this section...Ch. 4.3 - Prob. 15ECh. 4.3 - Prob. 16ECh. 4.3 - Prob. 17ECh. 4.3 - Prob. 18ECh. 4.3 - In Exercises 520, use the method of this section...Ch. 4.3 - Prob. 20ECh. 4.3 - MAXIMIZING INVESTMENT RETURNS Natsano has at most...Ch. 4.3 - Prob. 22ECh. 4.3 - Prob. 23ECh. 4.3 - CROP PLANNING A farmer has 150 acres of land...Ch. 4.3 - PRODUCTION SCHEDULING A company manufactures...Ch. 4.3 - TRANSPORTATION The Green Company manufactures an...Ch. 4.3 - DIET PLANNING A nutritionist at the Medical Center...Ch. 4.3 - MINIMIZING SHIPPING COSTS Steinwelt Piano...Ch. 4.CRQ - Prob. 1CRQCh. 4.CRQ - Prob. 2CRQCh. 4.CRQ - Prob. 3CRQCh. 4.CRQ - Prob. 4CRQCh. 4.CRE - Prob. 1CRECh. 4.CRE - Prob. 2CRECh. 4.CRE - In Exercises 1-8, use the simplex method to solve...Ch. 4.CRE - Prob. 4CRECh. 4.CRE - Prob. 5CRECh. 4.CRE - Prob. 6CRECh. 4.CRE - Prob. 7CRECh. 4.CRE - Prob. 8CRECh. 4.CRE - Prob. 9CRECh. 4.CRE - Construct the dual problem associated with the...Ch. 4.CRE - Prob. 11CRECh. 4.CRE - Prob. 12CRECh. 4.CRE - Prob. 13CRECh. 4.CRE - Prob. 14CRECh. 4.CRE - Prob. 15CRECh. 4.CRE - Prob. 16CRECh. 4.CRE - Prob. 17CRECh. 4.CRE - Prob. 18CRECh. 4.CRE - MINIMIZING MINING COSTS Perth Mining Company...Ch. 4.CRE - MINIMIZING RIVER CRUISE COSTS Nordic River Cruises...Ch. 4.CRE - PRODUCTION SCHEDULING Acoustical Company...Ch. 4.CRE - PRODUCTION SCHEDULING Wayland Company manufactures...Ch. 4.CRE - MINIMIZING CITY WATER COSTS The water-supply...Ch. 4.CRE - INVESTMENT ANALYSIS Jorge has decided to invest at...Ch. 4.CRE - MAXIMIZING PROFIT A company manufactures three...Ch. 4.CRE - INVESTMENT ANALYSIS Sandra has at most 200,000 to...Ch. 4.BMO - Prob. 1BMOCh. 4.BMO - Prob. 2BMOCh. 4.BMO - Prob. 3BMOCh. 4.BMO - Prob. 4BMOCh. 4.BMO - Using the simplex method, solve the following...
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