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
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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?
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: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
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
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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