2. 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. (a) Define the variables. Be specific with descriptive words. X = y = (b) Clearly state the constraints (all inequalities) related to the feasible region. (c) State the objective function.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
100%

Can someone help me with this one? Thanks a lot.

(d) Use the graphical method to solve: Graph the solution region, showing the intercepts used. Label
axes, units, points and lines. Find and label all corner points.
(e) Find the number of C-47's and C-54's the Americans used to maximize their carrying capacity.
4
Transcribed Image Text:(d) Use the graphical method to solve: Graph the solution region, showing the intercepts used. Label axes, units, points and lines. Find and label all corner points. (e) Find the number of C-47's and C-54's the Americans used to maximize their carrying capacity. 4
2. 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.
(a) Define the variables. Be specific with descriptive words.
●
X =
y =
(b) Clearly state the constraints (all inequalities) related to the feasible region.
(c) State the objective function.
3
Transcribed Image Text:2. 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. (a) Define the variables. Be specific with descriptive words. ● X = y = (b) Clearly state the constraints (all inequalities) related to the feasible region. (c) State the objective function. 3
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning