Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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Chapter 8, Problem 26P
Summary Introduction
To determine: The fewest number of breaks that are needed to air all the commercials.
Introduction: The variation between the present value of the
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A television station has commercials of the following lengths (in seconds): 15, 20, 25, 30, 40, 45, 50, and 60. The commercials must be assigned to 90-second breaks. If a commercial break exceeds 90 seconds, a penalty cost is incurred. Station managers have established a penalty of $100 (per second) if the maximum limit is exceeded. Moreover, station owners want commercial breaks that are at least 65 seconds in duration. If any break fails to achieve this minimum duration, then a $1000 penalty (per occurrence) is charged. What is the fewest number of breaks that are needed to air all eight of the commercials?
26. Music radio WABC has commercials of the following lengths (in seconds): 15, 15, 20, 25, 30, 35, 40,57. The commercials must be assigned to 60-secondbreaks. What is the fewest number of breaks that areneeded to air all of the commercials?
You have been assigned to arrange the songs on the cassette version of the famous music band, Nirvana’s latest album. A cassette tape has two sides (1 and 2). The songs on each side of the cassette must total between 14 and 16 minutes in length. The length and type of each song are given in the table below. The assignment of songs to the tape must satisfy the following conditions.
Song
Type
Length (in minutes)
1
Ballad
4
2
Hit
5
3
Ballad
3
4
Hit
2
5
Ballad
4
6
Hit
3
7
5
8
Ballad and hit
4
Formulate the problem as an IP to determine which song is assigned to which side of thecassette to satisfy the following conditions.a) The songs on each side of the cassette must total between 14 and 16 minutes inlength.b) Each song must be assigned to exactly either one of the sides.c) Each side must have exactly two ballads.d) Side 1 must have at least 3 hit songs.e) Either song 5 or song 6 must be on side 1.f) If song 2…
Chapter 8 Solutions
Practical Management Science
Ch. 8.3 - Prob. 1PCh. 8.3 - Prob. 2PCh. 8.4 - Prob. 3PCh. 8.4 - Prob. 4PCh. 8.4 - Prob. 5PCh. 8.5 - Prob. 6PCh. 8.5 - Prob. 7PCh. 8.5 - In the lawn mower production problem in Example...Ch. 8.6 - Prob. 9PCh. 8.6 - Prob. 10P
Ch. 8.6 - Prob. 11PCh. 8.6 - Prob. 12PCh. 8.7 - Prob. 13PCh. 8.7 - Prob. 14PCh. 8.8 - Prob. 15PCh. 8.8 - Prob. 16PCh. 8.8 - Prob. 17PCh. 8.8 - Prob. 18PCh. 8.8 - Prob. 19PCh. 8 - Prob. 20PCh. 8 - Prob. 21PCh. 8 - Prob. 22PCh. 8 - Prob. 23PCh. 8 - Prob. 24PCh. 8 - Prob. 25PCh. 8 - Prob. 26PCh. 8 - Prob. 27PCh. 8 - Prob. 28PCh. 8 - Prob. 29PCh. 8 - Prob. 30PCh. 8 - Prob. 31PCh. 8 - Prob. 32PCh. 8 - Prob. 33PCh. 8 - Prob. 34PCh. 8 - Prob. 35PCh. 8 - Prob. 36PCh. 8 - Prob. 37PCh. 8 - Prob. 38PCh. 8 - Prob. 39PCh. 8 - Prob. 1CCh. 8 - Prob. 2C
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