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A local aviator is considering opening up a new air cargo company. In order to be profitable, she estimates that she needs to have a daily shipping capacity of 80,000 cu. ft. Two types of planes have been approved for use at the local airstrip (these planes are described in detail below). Please note that the second model of aircraft requires two pilots per FAA rules. There are 40 pilots available and airport hangers for at most 38 aircraft. Your goal is to help the aviator minimize the costs for operating at least 80,000 cu. ft. of cargo. | Aircraft Name Hodson Cruiser Cost of Aircraft Capacity (cu. ft.) Pilots needed 2,200 $20,000 Whitaker Jumbo Jet $45,000 5.400 2 A) Solve the problem and report on the optimal number of each aircraft to purchase. B) Assume that the aircraft must be purchased in equal amounts (e.g., 4 Hodson Cruisers and 4 Whitaker Jumbo Jets). What is the minimum number of each plan to purchase that would minimize costs under this new constraint?

A local aviator is considering opening up a new air cargo company. In order to be profitable, she estimates that she needs to have a daily shipping capacity of 80,000 cu. ft. Two types of planes have been approved for use at the local airstrip (these planes are described in detail below). Please note that the second model of aircraft requires two pilots per FAA rules. There are 40 pilots available and airport hangers for at most 38 aircraft. Your goal is to help the aviator minimize the costs for operating at least 80,000 cu. ft. of cargo. | Aircraft Name Hodson Cruiser Cost of Aircraft Capacity (cu. ft.) Pilots needed 2,200 $20,000 Whitaker Jumbo Jet $45,000 5.400 2 A) Solve the problem and report on the optimal number of each aircraft to purchase. B) Assume that the aircraft must be purchased in equal amounts (e.g., 4 Hodson Cruisers and 4 Whitaker Jumbo Jets). What is the minimum number of each plan to purchase that would minimize costs under this new constraint?

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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A local aviator is considering opening up a new air cargo company. In order to be profitable, she estimates that she needs to have a daily shipping capacity of 80,000 cu. ft. Two types of planes have been approved for use at the local airstrip (these planes are described in detail below). Please note that the second model of aircraft requires two pilots per FAA rules. There are 40 pilots available and airport hangers for at most 38 aircraft. Your goal is to help the aviator minimize the costs for operating at least 80,000 cu. ft. of cargo. Aircraft Name Hodson Cruiser Cost of Aircraft Capacity (cu. ft.) Pilots needed $20,000 2,200 1 Whitaker Jumbo Jet $45,000 5,400 2 A) Solve the problem and report on the optimal number of each aircraft to purchase.* B) Assume that the aircraft must be purchased in equal amounts (e.g., 4 Hodson Cruisers and 4 Whitaker Jumbo Jets). What is the minimum number of each plan to purchase that would minimize costs under this new constraint?
Transcribed Image Text:A local aviator is considering opening up a new air cargo company. In order to be profitable, she estimates that she needs to have a daily shipping capacity of 80,000 cu. ft. Two types of planes have been approved for use at the local airstrip (these planes are described in detail below). Please note that the second model of aircraft requires two pilots per FAA rules. There are 40 pilots available and airport hangers for at most 38 aircraft. Your goal is to help the aviator minimize the costs for operating at least 80,000 cu. ft. of cargo. Aircraft Name Hodson Cruiser Cost of Aircraft Capacity (cu. ft.) Pilots needed $20,000 2,200 1 Whitaker Jumbo Jet $45,000 5,400 2 A) Solve the problem and report on the optimal number of each aircraft to purchase.* B) Assume that the aircraft must be purchased in equal amounts (e.g., 4 Hodson Cruisers and 4 Whitaker Jumbo Jets). What is the minimum number of each plan to purchase that would minimize costs under this new constraint?
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