#5) Solve the following LP   a) Write the original optimal solution and objective function value. b) What is the optimal solution and objective function value if the profit for oak tables increases to $83? c) What is the optimal solution and objective function value if the profit for pine chairs decreases to $13? d) What is the optimal solution and objective function value if the profit for pine tables increases by $20? e) What is the optimal solution and objective function value if the company is required to make at least 20 pine chairs? f) What is the optimal solution and objective function value if the company is required to make no more than 55 cherry chairs?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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#5) Solve the following LP

 

a) Write the original optimal solution and objective function value.

b) What is the optimal solution and objective function value if the profit for oak tables increases to $83?

c) What is the optimal solution and objective function value if the profit for pine chairs decreases to $13?

d) What is the optimal solution and objective function value if the profit for pine tables increases by $20?

e) What is the optimal solution and objective function value if the company is required to make at least 20 pine chairs?

f) What is the optimal solution and objective function value if the company is required to make no more than 55 cherry chairs?

#5) Solve the following LP
Number of
Units
Maximize
Profit
Constraints
Labor Hours
Oak (lbs.)
Cherry (lbs.)
Pine (lbs.)
Oak Tables
Minimum
Cherry Tables
Minimum Oak
Chairs
Minimum
Cherry Chairs
Minimum
Pine Chairs
75
7.5
200
Minimum Oak 1
Tables
Oak Chairs Cherry Tables
35
3.5
30
1
90
9.0
240
1
Cherry
Chairs
60
6.0
36
1
Pine Tables
45
4.5
180
Pine Chairs
20
2.0
27
1
LHS
S
S
S
S
2
>
2
2
2
SIGN
1000
2150
3800
8500
3
3
10
10
5
RHS
Transcribed Image Text:#5) Solve the following LP Number of Units Maximize Profit Constraints Labor Hours Oak (lbs.) Cherry (lbs.) Pine (lbs.) Oak Tables Minimum Cherry Tables Minimum Oak Chairs Minimum Cherry Chairs Minimum Pine Chairs 75 7.5 200 Minimum Oak 1 Tables Oak Chairs Cherry Tables 35 3.5 30 1 90 9.0 240 1 Cherry Chairs 60 6.0 36 1 Pine Tables 45 4.5 180 Pine Chairs 20 2.0 27 1 LHS S S S S 2 > 2 2 2 SIGN 1000 2150 3800 8500 3 3 10 10 5 RHS
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