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c. State the # of c-47 and c- 54's the Americans used to maximize their carrying capacity's  d. What are the advantages/disadvantages of solving the liner programming problem using the graphing method vs the simplex method?

c. State the # of c-47 and c- 54's the Americans used to maximize their carrying capacity's  d. What are the advantages/disadvantages of solving the liner programming problem using the graphing method vs the simplex method?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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c. State the # of c-47 and c- 54's the Americans used to maximize their carrying capacity's 

d. What are the advantages/disadvantages of solving the liner programming problem using the graphing method vs the simplex method? 

On June 24, 1948, the former Soviet Union blocked all land and water routes through East Germany to Berlin. A gigantic airlift was organized using American and British planes to bring food, clothing, and other supplies to the more than 2 million people in West Berlin. The Americans had two types of planes available, the C-47 Skytrain and the C-54 Skymaster. The carrying capacity was 3.5 tons for a C-47 and 10 tons for a C-54. To break the Soviet blockade, the Western Allies had to maximize carrying capacity, but the Americans were limited by the following restrictions: No more than 44 planes could be used per day. Each C-47 required 4 crew members per flight and the crew requirement for the C-54 was 5. The total number of personnel available per day could not exceed 200. The Americans only had 32 C-54's available. Find the number of C-47's and C-54's the Americans used to maximize their carrying capacity. Convert each constraint from problem 2 into an equation by adding slack variables and set up the initial a. simplex matrix. b. Perform all pivots necessary using row operations to transform the matrix until the solution is feasible.
Transcribed Image Text:On June 24, 1948, the former Soviet Union blocked all land and water routes through East Germany to Berlin. A gigantic airlift was organized using American and British planes to bring food, clothing, and other supplies to the more than 2 million people in West Berlin. The Americans had two types of planes available, the C-47 Skytrain and the C-54 Skymaster. The carrying capacity was 3.5 tons for a C-47 and 10 tons for a C-54. To break the Soviet blockade, the Western Allies had to maximize carrying capacity, but the Americans were limited by the following restrictions: No more than 44 planes could be used per day. Each C-47 required 4 crew members per flight and the crew requirement for the C-54 was 5. The total number of personnel available per day could not exceed 200. The Americans only had 32 C-54's available. Find the number of C-47's and C-54's the Americans used to maximize their carrying capacity. Convert each constraint from problem 2 into an equation by adding slack variables and set up the initial a. simplex matrix. b. Perform all pivots necessary using row operations to transform the matrix until the solution is feasible.
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