1. Consider the following linear program: Max 3A + 2B s.t. 1A 1B 3A 1B 1A + 2B 10 24 16 A, B ≥ 0 a. Use the graphical solution procedure to find the optimal solution. b. Assume that the objective function coefficient for A changes from 3 to 5. Does the optimal solution change? Use the graphical solution procedure to find the new optimal solution. c. Assume that the objective function coefficient for A remains 3, but the objective function coefficient for B changes from 2 to 4. Does the optimal
1. Consider the following linear program: Max 3A + 2B s.t. 1A 1B 3A 1B 1A + 2B 10 24 16 A, B ≥ 0 a. Use the graphical solution procedure to find the optimal solution. b. Assume that the objective function coefficient for A changes from 3 to 5. Does the optimal solution change? Use the graphical solution procedure to find the new optimal solution. c. Assume that the objective function coefficient for A remains 3, but the objective function coefficient for B changes from 2 to 4. Does the optimal
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter8: Polynomials
Section8.1: Adding And Subtracting Polynomials
Problem 58PPS
Related questions
Question
![1. Consider the following linear program:
Max 3A + 2B
s.t.
1A
1B
3A
1B
1A + 2B
10
24
16
A, B≥ 0
a. Use the graphical solution procedure to find the optimal solution.
b. Assume that the objective function coefficient for A changes from 3 to 5. Does
the optimal solution change? Use the graphical solution procedure to find the
new optimal solution.
c. Assume that the objective function coefficient for A remains 3, but the
objective function coefficient for B changes from 2 to 4. Does the optimal](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F946e2aa2-bcc9-4cec-b2e2-e85bd3aa7227%2F4bc9b455-17ef-4313-84bc-6b3dbff5cc59%2Fmxanq7w_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Consider the following linear program:
Max 3A + 2B
s.t.
1A
1B
3A
1B
1A + 2B
10
24
16
A, B≥ 0
a. Use the graphical solution procedure to find the optimal solution.
b. Assume that the objective function coefficient for A changes from 3 to 5. Does
the optimal solution change? Use the graphical solution procedure to find the
new optimal solution.
c. Assume that the objective function coefficient for A remains 3, but the
objective function coefficient for B changes from 2 to 4. Does the optimal
![solution change? Use the graphical solution procedure to find the new
solution.
optimal
2. Consider the linear program in Problem 1. The value of the optimal solution is 27. Suppose
that the right-hand side for constraint 1 is increased from 10 to 11.
a. Use the graphical solution procedure to find the new optimal solution.
b. Use the solution to part (a) to determine the dual value for constraint 1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F946e2aa2-bcc9-4cec-b2e2-e85bd3aa7227%2F4bc9b455-17ef-4313-84bc-6b3dbff5cc59%2Fcwizt3i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:solution change? Use the graphical solution procedure to find the new
solution.
optimal
2. Consider the linear program in Problem 1. The value of the optimal solution is 27. Suppose
that the right-hand side for constraint 1 is increased from 10 to 11.
a. Use the graphical solution procedure to find the new optimal solution.
b. Use the solution to part (a) to determine the dual value for constraint 1.
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