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How many packages should I purchase from each retail outlet in order to maximize the total number of large cars in my fleet?

How many packages should I purchase from each retail outlet in order to maximize the total number of large cars in my fleet?

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.5: Shortest Path Models
Problem 32P
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3. Use the Simplex Algorithm to solve the following: I intend to set up a car rental fleet containing small and large cars. I will purchase my cars in packages from three different motor retail outlets: MR1, MR2, and MR3. MR1's packages each contains 40 small cars and 5 large cars; MR2's packages each contains 20 small cars and 5 large cars; MR3's packages each contains 10 small cars and 10 large cars. I want my purchases to satisfy the following conditions: • I should purchase no more than 40 packages altogether. • The number of packages that I purchase from MR1 and MR2 combined should be at most a third of the number of packages that I purchase altogether; • I should purchase at most 300 large cars altogether; and • The number of small cars that I purchase from MR2 and MR3 combined should be at least 180 more than the number of small cars that I purchase from MR1. How many packages should I purchase from each retail outlet in order to maximize the total number of large cars in my fleet?
Transcribed Image Text:3. Use the Simplex Algorithm to solve the following: I intend to set up a car rental fleet containing small and large cars. I will purchase my cars in packages from three different motor retail outlets: MR1, MR2, and MR3. MR1's packages each contains 40 small cars and 5 large cars; MR2's packages each contains 20 small cars and 5 large cars; MR3's packages each contains 10 small cars and 10 large cars. I want my purchases to satisfy the following conditions: • I should purchase no more than 40 packages altogether. • The number of packages that I purchase from MR1 and MR2 combined should be at most a third of the number of packages that I purchase altogether; • I should purchase at most 300 large cars altogether; and • The number of small cars that I purchase from MR2 and MR3 combined should be at least 180 more than the number of small cars that I purchase from MR1. How many packages should I purchase from each retail outlet in order to maximize the total number of large cars in my fleet?
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