REQUIRED: Perform analysis for the Ocobee River Rafting Company to determine which alternative would be best for different levels of demand. Indicate which alternative should be selected if the demand is approximately 1,000 rafts and how much profit the company would make.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
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Vicki Smith, Penny Miller, and Darryl Davis are students at State University. In the summer, they
often go rafting with other students down the Ocobee River in the nearby Blue Ridge Mountain foothills.
The river has a number of minor rapids but is not generally dangerous. The students' rafts basically
consist of large rubber tubes, sometimes joined together with a ski rope. They have noticed that a
number of students who come to the river don't have rubber rafts and often ask to borrow theirs, which
can be very annoying. In discussing this nuisance, it occurred to Vicki, Penny, and Darryl that the problem
might provide an opportunity to make some extra money. They considered starting a new enterprise, the
Ocobee River Rafting Company, to sell rubber rafts on the river. They determined that their initial
investment would be about $3,000 to rent a small parcel of land next to the river on which to make and
sell the rafts; purchase a tent to operate out of, and buy some small equipment such as air pumps and a
rope cutter. They estimated that the labor and material cost per raft will be about $12, including the
purchase and shipping costs for the rubber tubes and rope. They plan to sell the rafts for $20 a piece,
which they think is about the maximum price students will pay for a preassembled raft.
Soon after they determined these cost estimates, the newly formed company learned about
another rafting company in North Carolina that was doing essentially what they planned to do. Vicki got
in touch with one of the operators of that company, and he told her the company would be willing to
supply rafts to the Ocobee River Rafting Company for an initial fixed fee of $9,000 plus $8 per raft,
including shipping. (The Ocobee River Rafting Company would still have to rent the parcel of riverside
land and tent for $1,000.) The rafts would already be inflated and assembled. This alternative appealed
to Vicki, Penny, and Darryl because it would reduce the amount of time they would have to work
pumping up the tubes and putting the rafts together, and it would increase time for their schoolwork. |
Although the students prefer the alternative of purchasing the rafts from the North Carolina
company, they are concerned about the large initial cost and worried about whether they will lose
money. Of course, Vicki, Penny, and Darryl realize that their profit, if any, will be determined by how
many rafts they sell. As such, they believe that they first need to determine how many rafts they must
sell with each alternative in order to make a profit and which alternative would be best given different
levels of demand. Furthermore, Penny has conducted a brief sample survey of people at the river and
estimates that the demand for rafts for the summer will be around 1,000 rafts.
REQUIRED: Perform analysis for the Ocobee River Rafting Company to determine which alternative
would be best for different levels of demand. Indicate which alternative should be selected if the
demand is approximately 1,000 rafts and how much profit the company would make.
Transcribed Image Text:Vicki Smith, Penny Miller, and Darryl Davis are students at State University. In the summer, they often go rafting with other students down the Ocobee River in the nearby Blue Ridge Mountain foothills. The river has a number of minor rapids but is not generally dangerous. The students' rafts basically consist of large rubber tubes, sometimes joined together with a ski rope. They have noticed that a number of students who come to the river don't have rubber rafts and often ask to borrow theirs, which can be very annoying. In discussing this nuisance, it occurred to Vicki, Penny, and Darryl that the problem might provide an opportunity to make some extra money. They considered starting a new enterprise, the Ocobee River Rafting Company, to sell rubber rafts on the river. They determined that their initial investment would be about $3,000 to rent a small parcel of land next to the river on which to make and sell the rafts; purchase a tent to operate out of, and buy some small equipment such as air pumps and a rope cutter. They estimated that the labor and material cost per raft will be about $12, including the purchase and shipping costs for the rubber tubes and rope. They plan to sell the rafts for $20 a piece, which they think is about the maximum price students will pay for a preassembled raft. Soon after they determined these cost estimates, the newly formed company learned about another rafting company in North Carolina that was doing essentially what they planned to do. Vicki got in touch with one of the operators of that company, and he told her the company would be willing to supply rafts to the Ocobee River Rafting Company for an initial fixed fee of $9,000 plus $8 per raft, including shipping. (The Ocobee River Rafting Company would still have to rent the parcel of riverside land and tent for $1,000.) The rafts would already be inflated and assembled. This alternative appealed to Vicki, Penny, and Darryl because it would reduce the amount of time they would have to work pumping up the tubes and putting the rafts together, and it would increase time for their schoolwork. | Although the students prefer the alternative of purchasing the rafts from the North Carolina company, they are concerned about the large initial cost and worried about whether they will lose money. Of course, Vicki, Penny, and Darryl realize that their profit, if any, will be determined by how many rafts they sell. As such, they believe that they first need to determine how many rafts they must sell with each alternative in order to make a profit and which alternative would be best given different levels of demand. Furthermore, Penny has conducted a brief sample survey of people at the river and estimates that the demand for rafts for the summer will be around 1,000 rafts. REQUIRED: Perform analysis for the Ocobee River Rafting Company to determine which alternative would be best for different levels of demand. Indicate which alternative should be selected if the demand is approximately 1,000 rafts and how much profit the company would make.
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