Case
Uitwerking Practical 2 Decision Science
- Course
- Institution
This document contains the full details of Practical 2 of the Decision Science course
[Show more]
Seller
Follow
LarsvdHorst
Reviews received
Content preview
Decision Science 1, Computer Practical,Practical work, Week 2 P2 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 P2
Exercise 1
Open the existing file <DS1_01 farmer.mos> (see Brightspace)
1-d2 Determine the rank r(A) for problem b1 (without additional casual labour) in standard form (Ax=b).
Explain!
r(A) <= min(m,n) --> min (6,9) <= 6
1-d3 Give the optimal basic solution x=
( )
xB
xN
(without additional casual labour).
(Xb) = Alle positieve getallen
(Xn) = Alles wat 0 is
MaxW=4500*x1+5000*x2+6000*x3
1: x1 +y1 = 5
2: x2 +Y2 =3,3333
3: x3 +Y3 = 2,5
4: 2x1 + 24x2 + 158x3 +Y4 = 350
5: 25x1 + 20x2 + 5x3 + Y5 =150
6: X1 + X2 + X3 +Y6 = 10
X1, X2, X3 >= 0
xB’ = (XG XP XB Y1 Y3 Y6) = (3.00 3.33 1.67 4.00 3.32 2.00)
xN’ = (Y2 Y4 Y5) = (0 0 0)
1-d4 Which of the constraints are binding and which are non-binding?
Constraint Binding / Non-binding
1 Non binding
2 Binding
3 Non binding
4 Binding
5 Binding
6 Non binding
1-d5 After extending the problem with additional labour at $ 33 per hour (see question b.) the number of basic
variables in the optimal basis will:
1. increase
2. be equal
3. decrease
Explain your answer!
Be equal, because there are no new constraints with the new labour.
1-d6 Give the vector of non-basic variables xN for the problem in question b2. (additional labour is allowed).
MaxW=4500*x1+5000*x2+6000*x3 – 33 * (A1+A2)
1: x1 +y1 = 5
2: x2 +Y2 =3,3333
3: x3 +Y3 = 2,5
4: 2x1 + 24x2 + 158x3 +Y4 = 350 + A1
5: 25x1 + 20x2 + 5x3 + Y5 =150 + A2
6: X1 + X2 + X3 +Y6 = 10
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