Operations Management: Processes and Supply Chains (12th Edition) (What's New in Operations Management)
12th Edition
ISBN: 9780134741062
Author: Lee J. Krajewski, Manoj K. Malhotra, Larry P. Ritzman
Publisher: PEARSON
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Question
Chapter D, Problem 14P
A
Summary Introduction
Interpretation:the objective function and constraints for maximize the contribution to profits
Concept Introduction:Objective functions are the linear functions and the equalities or inequalities are the constraints. It is the condition of an optimization of problem.
B
Summary Introduction
Interpretation:using the computer package, the interpretation is to be solved.
Concept Introduction:Objective functions are the linear functions and the equalities or inequalities are the constraints. It is the condition of an optimization of problem.
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Vollmer Manufacturing makes three components for sale to refrigeration companies. The components are processed on two machines: a shaper and a grinder. The times (in minutes) required on each machine are as follows:
Machine
Component
Shaper
Grinder
1
7
5
2
5
5
3
5
2
The shaper is available for 125 hours, and the grinder is available for 95 hours. No more than 170 units of component 3 can be sold, but up to 1050 units of each of the other components can be sold. In fact, the company already has orders for 625 units of component 1 that must be satisfied. The profit contributions for components 1, 2, and 3 are $8, $6, and $9, respectively.
If more time could be made available on the grinder, how much would it be worth? If required, round your answers to two decimal places.$ _____ per minute, since the dual value is _____ on the grinder at the optimal solution.
XYZ Corporation operates two plants, each of which has a capacity of 140 units per day. Each day, XYZ must ship their product to each of four customers. Customers A, B, and C each have a demand of 11 units per day while customer D has a demand of 247 units per day. The cost of shipping one unit of each product from each of the two plants to each of the customers is shown in the table below.
Customer A
Customer B
Customer C
Customer D
Plant 1
12
18
21
10
Plant 2
16
14
18
20
How many units should XYZ ship from each plant to each customer?
Customer A
Customer B
Customer C
Customer D
Plant 1
Plant 2
What is the least XYZ will spend on shipping each day?
XYZ Corporation operates two plants, each of which has a capacity of 100 units per day. Each day, XYZ must ship their product to each of four customers. Customers A, B, and C each have a demand of 20 units per day while customer D has a demand of 140 units per day. The cost of shipping one unit of each product from each of the two plants to each of the customers is shown in the table below.
Customer A
Customer B
Customer C
Customer D
Plant 1
24
21
19
18
Plant 2
18
16
19
10
How many units should XYZ ship from each plant to each customer? (Leave no cells blank—be certain to enter "0" wherever required. Round your answer to the nearest whole number.)
What is the least XYZ will spend on shipping each day? (Round your answers to 2 decimal places.)
Chapter D Solutions
Operations Management: Processes and Supply Chains (12th Edition) (What's New in Operations Management)
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