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Solve the following LP 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?

Solve the following LP 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
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Solve the following LP

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?

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