Tube Country rents circular rubber rafts that its customers use to float down the Ichituckni River. Tube Country owns a fleet of 200 rafts, each of which is returned on the same day it is rented, and each raft can only be rented once during a business day. Rough water along the Ichituckni River often causes rafts to become scratched and leak air, so the staff at Tube Country is constantly repairing rafts before their next rental. As a result, Tube Country estimates that 5% of its rental fleet is unavail- able for rent at any given time. Tube Country rents rafts for $5 each, and incurs $1.00 in variable costs with each raft rental. Tube Country must also pay $20,000 in fixed business costs annually. a. What is the daily effective capacity of Tube Country's fleet? b. The issue of rough water creating the need for continual repairs can best be described as what? c. Suppose Tube Country rents 100 rafts on a certain day. What is the utilization of Tube Country's raft fleet? d. How many rentals does Tube Country need to break even each year? e. How many rentals does Tube Country need to make in a year to earn $5,000 in profit? f. Last year, the owner of Tube Country, Mr. Robert "Bobber" Gowdy, had the opportunity to acquire an additional 200 rafts for his rental fleet, when a compet- ing raft rental company went out of business. Instead, Bobber Gowdy decided to keep his fleet at its original size of 200. "Even though we often rent every raft on a busy day," he said, "it wouldn't have been worth it, increasing the fleet size to 400. If you have any more than 200 rafts rented, you can't fit all of your rafts on the truck when you are collecting them back from the Ichituckni River. That means you then have to make multiple trips to the river. This costs more and takes more time, and the folks who run Ichituckni River State Park also charge you penalties for leaving your rafts around. Basically, if you get greedy and rent more than 200 rafts, you'll actually wind up making a lot less money." What Bob- ber Gowdy has just explained can best be described as what?

Practical Management Science
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Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
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Tube Country rents circular rubber rafts that its customers use to float down the
Ichituckni River. Tube Country owns a fleet of 200 rafts, each of which is returned
on the same day it is rented, and each raft can only be rented once during a business
day. Rough water along the Ichituckni River often causes rafts to become scratched
and leak air, so the staff at Tube Country is constantly repairing rafts before their
next rental. As a result, Tube Country estimates that 5% of its rental fleet is unavail-
able for rent at any given time. Tube Country rents rafts for $5 each, and incurs
$1.00 in variable costs with each raft rental. Tube Country must also pay $20,000 in
fixed business costs annually.
a. What is the daily effective capacity of Tube Country's fleet?
Transcribed Image Text:Tube Country rents circular rubber rafts that its customers use to float down the Ichituckni River. Tube Country owns a fleet of 200 rafts, each of which is returned on the same day it is rented, and each raft can only be rented once during a business day. Rough water along the Ichituckni River often causes rafts to become scratched and leak air, so the staff at Tube Country is constantly repairing rafts before their next rental. As a result, Tube Country estimates that 5% of its rental fleet is unavail- able for rent at any given time. Tube Country rents rafts for $5 each, and incurs $1.00 in variable costs with each raft rental. Tube Country must also pay $20,000 in fixed business costs annually. a. What is the daily effective capacity of Tube Country's fleet?
b. The issue of rough water creating the need for continual repairs can best be
described as what?
c. Suppose Tube Country rents 100 rafts on a certain day. What is the utilization of
Tube Country's raft fleet?
d. How many rentals does Tube Country need to break even each year?
e. How many rentals does Tube Country need to make in a year to earn $5,000 in
profit?
f. Last year, the owner of Tube Country, Mr. Robert "Bobber" Gowdy, had the
opportunity to acquire an additional 200 rafts for his rental fleet, when a compet-
ing raft rental company went out of business. Instead, Bobber Gowdy decided to
keep his fleet at its original size of 200. "Even though we often rent every raft on
a busy day," he said, "it wouldn't have been worth it, increasing the fleet size
to 400. If you have any more than 200 rafts rented, you can't fit all of your rafts
on the truck when you are collecting them back from the Ichituckni River. That
means you then have to make multiple trips to the river. This costs more and
takes more time, and the folks who run Ichituckni River State Park also charge
you penalties for leaving your rafts around. Basically, if you get greedy and rent
more than 200 rafts, you'll actually wind up making a lot less money." What Bob-
ber Gowdy has just explained can best be described as what?
Transcribed Image Text:b. The issue of rough water creating the need for continual repairs can best be described as what? c. Suppose Tube Country rents 100 rafts on a certain day. What is the utilization of Tube Country's raft fleet? d. How many rentals does Tube Country need to break even each year? e. How many rentals does Tube Country need to make in a year to earn $5,000 in profit? f. Last year, the owner of Tube Country, Mr. Robert "Bobber" Gowdy, had the opportunity to acquire an additional 200 rafts for his rental fleet, when a compet- ing raft rental company went out of business. Instead, Bobber Gowdy decided to keep his fleet at its original size of 200. "Even though we often rent every raft on a busy day," he said, "it wouldn't have been worth it, increasing the fleet size to 400. If you have any more than 200 rafts rented, you can't fit all of your rafts on the truck when you are collecting them back from the Ichituckni River. That means you then have to make multiple trips to the river. This costs more and takes more time, and the folks who run Ichituckni River State Park also charge you penalties for leaving your rafts around. Basically, if you get greedy and rent more than 200 rafts, you'll actually wind up making a lot less money." What Bob- ber Gowdy has just explained can best be described as what?
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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,