13. Trips Logistics, a third-party logistics firm that provides warehousing and other logistics services, is facing a decision regarding the amount of space to lease for the upcoming two- year period. 1,000 square feet of warehouse space is required for every 1,000 units of demand, and the current demand at Trips Logistics is for 100,000 units per year. The manager forecasts that from one year to the next, demand may go up 5 percent with a probability of 0.5 or go down by 5 percent by a probability of 0.5. The probabilities of the two outcomes are independent. The manager can sign a two year lease at a price of 0.8 dollar per square feet per year or obtain the warehouse space from spot market with 1.3 dollar per square feet per year. From the current year to the next year, spot prices for warehouse space may go up by 9% with probability 0.5 or go down by 9% with probability 0.5. The probabilities of the two outcomes are independent. The manager believes that the process of warehouse space and demand for the product fluctuate independently. Each unit Trip Logistics handles results in revenue of 1.5 dollar. Trips Logistics uses a discount rate of k=0.09 for each of the three years. Question: Please evaluate the spot market option, i.e., calculate the overall profit obtained with not signing a lease and obtaining all warehouse space from the spot market.
13. Trips Logistics, a third-party logistics firm that provides warehousing and other logistics services, is facing a decision regarding the amount of space to lease for the upcoming two- year period. 1,000 square feet of warehouse space is required for every 1,000 units of demand, and the current demand at Trips Logistics is for 100,000 units per year. The manager forecasts that from one year to the next, demand may go up 5 percent with a probability of 0.5 or go down by 5 percent by a probability of 0.5. The probabilities of the two outcomes are independent. The manager can sign a two year lease at a price of 0.8 dollar per square feet per year or obtain the warehouse space from spot market with 1.3 dollar per square feet per year. From the current year to the next year, spot prices for warehouse space may go up by 9% with probability 0.5 or go down by 9% with probability 0.5. The probabilities of the two outcomes are independent. The manager believes that the process of warehouse space and demand for the product fluctuate independently. Each unit Trip Logistics handles results in revenue of 1.5 dollar. Trips Logistics uses a discount rate of k=0.09 for each of the three years. Question: Please evaluate the spot market option, i.e., calculate the overall profit obtained with not signing a lease and obtaining all warehouse space from the spot market.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:13. Trips Logistics, a third-party logistics firm that provides warehousing and other logistics
services, is facing a decision regarding the amount of space to lease for the upcoming two-
year period. 1,000 square feet of warehouse space is required for every 1,000 units of demand,
and the current demand at Trips Logistics is for 100,000 units per year. The manager
forecasts that from one year to the next, demand may go up 5 percent with a probability of
0.5 or go down by 5 percent by a probability of 0.5. The probabilities of the two outcomes
are independent.
The manager can sign a two year lease at a price of 0.8 dollar per square feet per year or obtain
the warehouse space from spot market with 1.3 dollar per square feet per year. From the
current year to the next year, spot prices for warehouse space may go up by 9% with
probability 0.5 or go down by 9% with probability 0.5. The probabilities of the two outcomes
are independent.
The manager believes that the process of warehouse space and demand for the product
fluctuate independently. Each unit Trip Logistics handles results in revenue of 1.5 dollar. Trips
Logistics uses a discount rate of k=0.09 for each of the three years.
Question: Please evaluate the spot market option, i.e., calculate the overall profit obtained with
not signing a lease and obtaining all warehouse space from the spot market.
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