Consider the graphical solution to the product mixproblem. Now imagine that another constraint—any constraint—is added. Which of the followingthree things are possible: (1) the feasible regionshrinks; (2) the feasible region stays the same;(3) the feasible region expands? Which of thefollowing three things are possible: (1) the optimalvalue in objective cell decreases; (2) the optimalvalue in objective cell stays the same; (3) theoptimal value in objective cell increases?Explain your answers. Do they hold just forthis particular model, or do they hold ingeneral?
Consider the graphical solution to the product mixproblem. Now imagine that another constraint—any constraint—is added. Which of the followingthree things are possible: (1) the feasible regionshrinks; (2) the feasible region stays the same;(3) the feasible region expands? Which of thefollowing three things are possible: (1) the optimalvalue in objective cell decreases; (2) the optimalvalue in objective cell stays the same; (3) theoptimal value in objective cell increases?Explain your answers. Do they hold just forthis particular model, or do they hold ingeneral?
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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Question
Consider the graphical solution to the product mix
problem. Now imagine that another constraint—
any constraint—is added. Which of the following
three things are possible: (1) the feasible region
shrinks; (2) the feasible region stays the same;
(3) the feasible region expands? Which of the
following three things are possible: (1) the optimal
value in objective cell decreases; (2) the optimal
value in objective cell stays the same; (3) the
optimal value in objective cell increases?
Explain your answers. Do they hold just for
this particular model, or do they hold in
general?
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