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?

Marketing
20th Edition
ISBN:9780357033791
Author:Pride, William M
Publisher:Pride, William M
Chapter8: Business Markets And Buying Behavior
Section8.1: Will Apple Pay Pay Off For Retailers?
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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?

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ISBN:
9780357033791
Author:
Pride, William M
Publisher:
South Western Educational Publishing