A) What are the shadow prices for each resource? Which is the most “scarce” resource for AB manufacturing? B) How much can you increase/decrease the resource level of Q while the current optimal solution stays optimal? C) How much can you increase/decrease the resource level of R while the current optimal solution stays optimal?
A) What are the shadow prices for each resource? Which is the most “scarce” resource for AB manufacturing? B) How much can you increase/decrease the resource level of Q while the current optimal solution stays optimal? C) How much can you increase/decrease the resource level of R while the current optimal solution stays optimal?
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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Question
Please answer as quickly as possible
Given the optimal solution for the problem in the picture, solve the questions below.
A) What are the shadow prices for each resource? Which is the most “scarce” resource for AB
manufacturing?
B) How much can you increase/decrease the resource level of Q while the current optimal solution
stays optimal?
C) How much can you increase/decrease the resource level of R while the current optimal solution
stays optimal?
D) How much can you increase/decrease the resource level of S while the current optimal solution
stays optimal?
Transcribed Image Text:2
1
0
0
x1 X2 $1
0 0
0
1
00
1
0
90/8
1/8
0
0 -3/8
S2 $3 rhs
450/8 O
-3/8 0 1.5
0.5 0 6
9/8
1215
1
7.5
Transcribed Image Text:Problem 1 The AB manufacturing company has two kinds of products: A and B. They earn
$180 profit for each Product A and $90 profit for each Product B. To produce Products A and B,
the company needs three resources: Q, R, S. Each unit of Product A consumes 6 units of Resource
Q and 2 units of Resource R. Each unit of Product B consumes 8 units of Resource Q and 3 units
of Resource S. The AB manufacturing company only can use 48 units of Q, 12 units of R and 12
units of S per day.
Resource
R
S
Profit per unit
Product A
6
2
0
180
Product B Resource Available
8
0
3
90
48
12
12
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