MyLab Operations Management with Pearson eText -- Access Card -- for Operations Management: Processes and Supply Chains
12th Edition
ISBN: 9780134742366
Author: Lee J. Krajewski, Manoj K. Malhotra, Larry P. Ritzman
Publisher: PEARSON
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Chapter D, Problem 10P
A
Summary Introduction
Interpretation: To maximize the profits for the given constraints and objective function.
Concept Introduction: To obtain the objective function is to maximize or minimize the
B
Summary Introduction
Interpretation: In linear programming, find the better optimal solution using graphic method.
Concept Introduction: In linear programming, graphic method are used to solve the problems by the point of intersection (higher and lower points) between the objective function and regional value of the graph.
C
Summary Introduction
Interpretation: To Determine the constraints with slack or surplus.
Concept Introduction: In Linear Programming, some mathematics oriented problem will be solved by slack variable and surplus variable. Slack variables is defined as less than (<) or equal (=) type of constraints to getting the equality constraint. Surplus variables is termed as greater than (>) or equal (=) type of constraints to getting the equality constraint.
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Morgan Trucking Company operates a special pickup and delivery service between Chicago
and six other cities located in a four-state area. When Morgan receives a request for service,
it dispatches a truck from Chicago to the city requesting service as soon as possible. With
both fast service and minimum travel costs as objectives for Morgan, it is important that the
dispatched truck take the shortest route from Chicago to the specified city. Assume that the
following network (not drawn to scale) with distances given in miles represents the highway
network for this problem.
Chicago 1
36
31
21
2
3
9
10
11
21
4
13
Find the shortest-route distance from Chicago to node 6.
6
5
6
16
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21
7
Define Vehicle routing problem (VRP). Explain its complications and variants. Define four different real-life problems that can be formulated as VRP. Explain their properties based on VRP variations.
A supplier ships goods from Richmond, VA to three market places in 3 cities (Chicago, IL; Athens, GA;
St. Luis, MO). The supplier can ship every day, every other day, or every third day.
There is a penalty of $0.30/cwt for each day delayed.
Consolidating shipments allows for lower transportation costs from larger loads, but incurs penalty
costs due to the delay.
Transportation Rate
(S/cwt)
Shipment
City
Weight/day
LTL
50,000 lb
50000 lb
Chicago, IL
18,000 lb (180 cwt)
1.50
1.25
Athens, GA
15,000 lb (150 cwt)
1.35
1.00
St. Luis, MO
12,000 lb (120 cwt)
2.00
1.50
Total
45,000 Ib = 450 cwt
Find what is the cost for the following:
Shipping Every Day
Shipping on the alternate Day (every two days)
Shipping every three Day
Chapter D Solutions
MyLab Operations Management with Pearson eText -- Access Card -- for Operations Management: Processes and Supply Chains
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