Case
Uitwerking Practical 5 decision science
- Course
- Institution
This document contains the full elaboration of practical 5 for the Decision Science course (ORL20306)
[Show more]
Seller
Follow
LarsvdHorst
Reviews received
Content preview
Decision Science 1, Computer Practical,Practical work, Week 5 P5 Pair number: 14
Name: Lars van der Horst Studentnumber: 1 0 4 9 5 2 8
Name: Dennis van den Berg Studentnumber: 1 0 4 8 1 6 8
Watch the Introduction clip to practical P5
Exercise 9
The next questions are all related to exercise 9 (farmers problem) of your syllabus.
Use file << DS1_09 Farmer extended.mos >>.
9-b1 Show that the objective value of the optimal basic solution X of the primal problem is equal to the
objective value of the optimal basic solution U'=(u',v') of the dual problem.
(Hint: Remember that c’x = b’u and locate c, x, b, u in the output of Xpress.)
C’x = b u
(5.00, 2.02 1,85) (4500 5000 6000) = (350 400 10) (37,97 20,65 2212,03)
43700 43669,8
Because of rounding off a small difference.
9-b2 Suppose the profit per hectare for potatoes might decrease. Until which level may the profit drop knowing for
sure that the current cultivation plan remains optimal?
>= 911.39 (lower bound cost coefficient)
9-c Give your answer on question c.
La_Ma the shadow price > 30 so use extra labour because the profit will rise
La_Oc the shadow price < 30 so don't use extra labour because the total profit will decrease
9-d1 Give your answer on question d1.
Hint: don’t try to calculate this by hand. Extend the model with additional variables and with a constraint
called “Subs” (mind the capital “S”!) that models the way in which you spend your subsidy budget.
Extra hectare: 0,934 hectare
Extra labour: 137,722
9-d2 The figure below sketches the graph of the profit (Y-axis) as a function of the subsidy (X-axis).
Use the model to fill in the Value of Subs breakpoints I, II, III and the values of the slopes IV, V, VI.
Note that you can ‘unlock’ the Xpress code for showing right-hand side ranging on constraint “Subs” by
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller LarsvdHorst. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $4.85. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
56326 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now