The company estimates that the monthly demand for the region will be 500,000 gallons of gasoline. Because of the size and speed differences of the trucks, the number of deliveries or round trips possible per month for each truck model will vary. Trip capacities are estimated at 10 trips per month for the Super Tanker, 20 trips per month for the Regular Line, and 30 trips per month for the Econo-Tanker. Based on maintenance and driver availability, the firm does not want to add more than 30 new vehicles to its fleet. In addition, the company has decided to purchase at least 10 of the new Econo-Tankers for use on short-run, low-demand routes. If the company wishes to satisfy the gasoline demand with a minimum monthly operating expense, how many models of each truck should be purchased. Formulate this problem as a LP model. Don't ever try to solve it.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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The Gorilla Oil Company near Pittsburg transports gasoline to its distributors by truck. The company
recently contracted to supply gasoline distributors in Kansa, and it has $1,000,000 available to spend on the
necessary expansion of its fleet of gasoline tank trucks. Three models of gasoline tank trucks are available.
II.
Truck Model
Capacity (gallons)
Purchase Cost Monthly Operating Cost
Super Tanker
Regular Line
Econo-Tanker
5,000
3,000
2,000
$50,000
$40,000
$25,000
$1,000
$ 800
$ 600
The company estimates that the monthly demand for the region will be 500,000 gallons of gasoline.
Because of the size and speed differences of the trucks, the number of deliveries or round trips possible per
month for each truck model will vary. Trip capacities are estimated at 10 trips per month for the Super
Tanker, 20 trips per month for the Regular Line, and 30 trips per month for the Econo-Tanker. Based on
maintenance and driver availability, the firm does not want to add more than 30 new vehicles to its fleet. In
addition, the company has decided to purchase at least 10 of the new Econo-Tankers for use on short-run,
low-demand routes. If the company wishes to satisfy the gasoline demand with a minimum monthly
operating expense, how many models of each truck should be purchased. Formulate this problem as a LP
model. Don't ever try to solve it.
Transcribed Image Text:The Gorilla Oil Company near Pittsburg transports gasoline to its distributors by truck. The company recently contracted to supply gasoline distributors in Kansa, and it has $1,000,000 available to spend on the necessary expansion of its fleet of gasoline tank trucks. Three models of gasoline tank trucks are available. II. Truck Model Capacity (gallons) Purchase Cost Monthly Operating Cost Super Tanker Regular Line Econo-Tanker 5,000 3,000 2,000 $50,000 $40,000 $25,000 $1,000 $ 800 $ 600 The company estimates that the monthly demand for the region will be 500,000 gallons of gasoline. Because of the size and speed differences of the trucks, the number of deliveries or round trips possible per month for each truck model will vary. Trip capacities are estimated at 10 trips per month for the Super Tanker, 20 trips per month for the Regular Line, and 30 trips per month for the Econo-Tanker. Based on maintenance and driver availability, the firm does not want to add more than 30 new vehicles to its fleet. In addition, the company has decided to purchase at least 10 of the new Econo-Tankers for use on short-run, low-demand routes. If the company wishes to satisfy the gasoline demand with a minimum monthly operating expense, how many models of each truck should be purchased. Formulate this problem as a LP model. Don't ever try to solve it.
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