A package express carrier is considering expanding the fleet of aircraft used to transport packages. There is a total of $220 million allocated for purchases. Two types of aircraft may be purchased the CIA and the C1B. The CIA costs $25 million, while the C1B costs $18 million. The CIA can carry 60,000 pounds of packages, while the C1B can only carry 40,000 pounds of packages. The company needs at least eight new aircraft. In addition, the firm wishes to purchase at least twice as many CIBs as C1As. Formulate this as an integer programming problem to maximize the number of pounds that may be carried

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section: Chapter Questions
Problem 68P
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A package express carrier is considering expanding the fleet of aircraft used to transport packages. There is a total of $220 million allocated for purchases. Two types of aircraft may be purchased the CIA and the C1B. The CIA costs $25 million, while the C1B costs $18 million. The CIA can carry 60,000 pounds of packages, while the C1B can only carry 40,000 pounds of packages. The company needs at least eight new aircraft. In addition, the firm wishes to purchase at least twice as many CIBs as C1As. Formulate this as an integer programming problem to maximize the number of pounds that may be carried
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