Ben works for a software company in Cleveland. To train new employees, Ben travels to their two other locations, Buffalo and Philadelphia. A Buffalo trip takes two days while a Philadelphia trip takes three days. He can travel no more than 105 days each year. Due to many new employees this year, he must travel to Philadelphia at least 5 times and Buffalo at least 15 times. It costs the company $180 for each Buffalo trip and $300 for each Philadelphia trip. How many times should Ben travel to Buffalo and Philadelphia to minimize costs to the company?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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res and fliers
tching tours.
wires three
s two. They
paper, but
chures and
osts 10¢ to
to print.
their print
st?
anufactures
It takes 8
wboard and
a set of skis.
or available
n. Due to
e at least 15
s profit $55
ach. How
produce in a
r profit?
The amphitheater has two types of
tickets available, reserved seats and
lawn seats. The maximum capacity of
the venue is 20,000 people, however,
they must sell at least 5,000 tickets for a
concert to be held. As an additional
constraint, the number of lawn seats
cannot exceed the number of reserved
seats. If reserved seats profit $65 each
and lawn tickets profit $40 each, how
many of each must they sell to
maximize their profits?
6
Ben works for a software company in
Cleveland. To train new employees, Ben
travels to their two other locations, Buffalo
and Philadelphia. A Buffalo trip takes two
days while a Philadelphia trip takes three
days. He can travel no more than 105
days each year. Due to many new
employees this year, he must travel to
Philadelphia at least 5 times and Buffalo at
least 15 times. It costs the company $180
for each Buffalo trip and $300 for each
Philadelphia trip. How many times should
Ben travel to Buffalo and Philadelphia to
minimize costs to the company?
Gina Wilson (All Things Algebra), 2015
Transcribed Image Text:res and fliers tching tours. wires three s two. They paper, but chures and osts 10¢ to to print. their print st? anufactures It takes 8 wboard and a set of skis. or available n. Due to e at least 15 s profit $55 ach. How produce in a r profit? The amphitheater has two types of tickets available, reserved seats and lawn seats. The maximum capacity of the venue is 20,000 people, however, they must sell at least 5,000 tickets for a concert to be held. As an additional constraint, the number of lawn seats cannot exceed the number of reserved seats. If reserved seats profit $65 each and lawn tickets profit $40 each, how many of each must they sell to maximize their profits? 6 Ben works for a software company in Cleveland. To train new employees, Ben travels to their two other locations, Buffalo and Philadelphia. A Buffalo trip takes two days while a Philadelphia trip takes three days. He can travel no more than 105 days each year. Due to many new employees this year, he must travel to Philadelphia at least 5 times and Buffalo at least 15 times. It costs the company $180 for each Buffalo trip and $300 for each Philadelphia trip. How many times should Ben travel to Buffalo and Philadelphia to minimize costs to the company? Gina Wilson (All Things Algebra), 2015
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