Operations Management: Sustainability and Supply Chain Management (12th Edition)
12th Edition
ISBN: 9780134130422
Author: Jay Heizer, Barry Render, Chuck Munson
Publisher: PEARSON
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Chapter C, Problem 14P
Summary Introduction
To determine: The total cost of the given transportation problem.
Introduction: The major objective of the transportation problem is to minimize the distributing cost of a product from a source to an origin. Transportation problem is one of the type of linear programming.
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Nyame Bekyere Wholesale Supply and Distribution Company sells parts, equipment, and supplies for recreational activities like plastic slides, bouncy castles, swings and electronic trains. In addition, NBWSDC has a service department for the repair and service of the recreational items. The owner, Mr. Osei Nyame Bekyere, bought the company five years ago from its original owner. The organization is set up in three divisions: service, retail parts and supplies, and wholesale. The owner and president, has a vice president for each operating division, for example the warehouse has three groups: receiving (checking orders for completeness, returning defective merchandise, stocking the shelves, filling orders), service parts, and order filling for distribution to customers. The warehouse group is responsible for all activities related to parts and supplies receiving, storage, and distribution. The retail sales division includes all functions related to selling of parts and…
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Suppose there are only two goods: Beer and Milk. Tom’s preference over bundles of beer and milk is as follows: For any two bundles A = (bA, mA) and B = (bB, mB) (where b and m denotes the amount of beer and milk, respectively), A ≿ B (i.e., “A is at least as good as B”) if and only if:
Either bA > bB;
Or bA = bB and mA ≥ mB.
In other words, Tom cares, first and foremost, about the amount of beer, but if the two bundles contain the same amount of beer, then he prefers having more milk to less.
• Is Tom’s preference complete? If yes, show why; if no, give an example of two bundles which Tom cannot compare.
• Is Tom’s preference monotone? Strongly monotone?
• Does Tom’s preference comply with the property of diminishing marginal rate of substitution?
Question 1 A
A company manufactures two types of boxes, corrugated and ordinary cartons. The boxes undergo two major processes: cutting and pinning operations. The profits per unit are $6 and $4 respectively. Each corrugated box requires 2 minutes for cutting and each carton requires 3 minutesfor cutting, whereas each corrugated box requires 2 minutes for pinning and each carton requires 1 minute for pinning. The available cutting time is 120 minutes and total pinning time is 60 minutes. Determine the optimum quantities of the two boxes to maximize the profits.
a. Formulate a linear programming model that can be used to determine the quantities of the two boxes that should be produced in order to maximize total profit contribution
b. Graph the feasible region.
c. Determine the coordinates of each extreme point.
d. What is the optimal solution.
e. Solve in excel.
Chapter C Solutions
Operations Management: Sustainability and Supply Chain Management (12th Edition)
Ch. C - Question: 1. What are the three information needs...Ch. C - Question: 2. What are the steps in the intuitive...Ch. C - Prob. 3DQCh. C - Prob. 4DQCh. C - Prob. 5DQCh. C - Prob. 6DQCh. C - Prob. 7DQCh. C - Prob. 8DQCh. C - Prob. 9DQCh. C - Prob. 10DQ
Ch. C - Prob. 11DQCh. C - Prob. 12DQCh. C - Prob. 13DQCh. C - Prob. 1PCh. C - Question: C.2 Consider the transportation table...Ch. C - Prob. 3PCh. C - Prob. 4PCh. C - Prob. 5PCh. C - Question: C.7 The three blood banks in Seminole...Ch. C - Question: C.8 In Solved Problem C 1 (page 728),...Ch. C - Prob. 8PCh. C - Prob. 9PCh. C - Prob. 10PCh. C - Question: C.12 Dana Johnson Corp. is considering...Ch. C - Prob. 14PCh. C - Question: C.9 For the following Gregory Bier...Ch. C - Prob. 1CS
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