Consider the following LP (Linear Programming); Maximum : Z= 55y1 + 35y2 + 25y3 s.t 6y1 + 6y2 + 2y; < 28 Source 1 4y1 + 3y2 + 4y3 S 20 Source 2 2yı + 2y3 +0,5y3 8 Source 3 У, Уг, Уз 2 0 It is known that the answers to the LP above are yl = 3.6667; y2 = 0; y3 = 1.3333 Answer the following questions; A. Make a dual equation of the above LP. B. If source 3 is added by 1 unit, what is the increase in the value of Z? C. If it is known that there is a new process (machine) to make y2, where it takes five sources 1, two sources 2, and one source 3; and the price of product y, becomes 45, can the new process be used?(give your reasons).
Consider the following LP (Linear Programming); Maximum : Z= 55y1 + 35y2 + 25y3 s.t 6y1 + 6y2 + 2y; < 28 Source 1 4y1 + 3y2 + 4y3 S 20 Source 2 2yı + 2y3 +0,5y3 8 Source 3 У, Уг, Уз 2 0 It is known that the answers to the LP above are yl = 3.6667; y2 = 0; y3 = 1.3333 Answer the following questions; A. Make a dual equation of the above LP. B. If source 3 is added by 1 unit, what is the increase in the value of Z? C. If it is known that there is a new process (machine) to make y2, where it takes five sources 1, two sources 2, and one source 3; and the price of product y, becomes 45, can the new process be used?(give your reasons).
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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Please answer the all sub parts a,b,c. And if finish u can to send. im needed in 30 minutes thank u
Transcribed Image Text:Consider the following LP (Linear Programming);
Maximum : Z= 55y1 + 35y2 + 25y:
s.t
бу1 + буз + 2уз 28
Source 1
4y1 + 3у2 + 4yз<20
Source 2
2y1 + 2уз +0,5уз s8
Source 3
У1, Уг, Уз > 0
It is known that the answers to the LP above are
yl = 3.6667; y2 = 0; y3
1.3333
Answer the following questions;
A. Make a dual equation of the above LP.
B. If source 3 is added by 1 unit, what is the increase in the value of Z?
C. If it is known that there is a new process (machine) to make y2, where it takes
five sources 1, two sources 2, and one source 3; and the price of product y2
becomes 45, can the new process be used?(give your reasons).
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