g) Suppose that the profit contribution of component 3 decrease by $2.00 . Would the optimal solution change? h) Is the problem degenerate? Explain! i) Are there alternative optima in this problem?
g) Suppose that the profit contribution of component 3 decrease by $2.00 . Would the optimal solution change? h) Is the problem degenerate? Explain! i) Are there alternative optima in this problem?
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
Answer the following questions using the output below please be brief. If there are two possible
answers one will suffice. Where necessary a range analysis must be shown.(hint;convert to minutes)
g) Suppose that the profit contribution of component 3 decrease by $2.00 . Would the
optimal solution change?
h) Is the problem degenerate? Explain!
i) Are there alternative optima in this problem?
Transcribed Image Text:Let C1 = units of component 1 manufactured
C, = units of component 2 manufactured
C; = units of component 3 manufactured
%3D
6C, +
4C, +
5C2 +
Маx
8C,
8C; +
9C;
4C; < 7200
2C; < 6600
C3 < 200
< 1000
< 1000
> 600
C1, C2, C; 20
6C, +
4C1 +
s.t.
C1
C2
Transcribed Image Text:Question 2
CWD Manufacturing makes three components for sale to refrigeration companies. The
components are processed on two machines: a shaper and a grinder. The times (in minutes)
required on each machine are as follows:
Machine
Component
Shaper
Grinder
4
The shaper is available for 120 hours, and the grinder is available for 110 hours. No more than
200 units of component 3 can be sold, but up to 1000 units of each of the other components can
be sold. In fact, the company already has orders for 600 units of component 1 that must be
satisfied. The profit contributions for components 1, 2, and 3 are $8, $6, and $9, respectively.
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