Case
Uitwerkingen Practical 4 Decision Science
- Course
- Institution
Dit bevat de uitwerkingen van practical 4 van het vak Decision Science.
[Show more]
Seller
Follow
LarsvdHorst
Reviews received
Content preview
Decision Science 1, Computer Practical,Practical work, Week 4 P4 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 P4
Exercise 7
The next questions are all related to exercise 7 of your syllabus (blending
problem).
You already formulated the general LP-model at home (exercise 7b).
7-c/d Open the existing file << DS1_07 Multi blend.mos >>. Translate the model formulation you found in
exercise b. into the syntax of Xpress-IVE such that the problem can be solved in Xpress-IVE.
Give the model formulation. You can either use the formula editor, or write your model on paper and
insert a picture of it here. Note: if you managed to make a flawless model in your homework, you can
copy that model here.
Demand:
X11 + X21 + X31 + X41 + X51 >=1000 Som i Xij>=Dj for all j
X12 + X22 + X32 + X42 + X52 >=1500
X13 + X23 + X33 + X43 + X53 >=500
J: X1j + X2j …..........................>= Dj
Stock:
X11 + X12 + X13 <= 400 Som j Xij<=Sl for all i
.
.
X51 + X52 + X53 <= 300
Starch:
0,8*X11+0,62*X21+0,65*X31+0,75*X41+0,68*X51 Som I PS*Xij >= Rs for all j
Minamount
Xij => Minamountij Som ij Xij => Minamountij For all I,j
X11 => 0
Objective function
Min(TC=0,40*X11+0,40*X22.........+1,35*X53) Min(TC=som Ci*Xij)
Give the solution of the problem.
kg Final product 1 Final product 2 Final product 3
Raw material 1 350 0 50
Raw material 2 400 600 125
Raw material 3 100 250 325
Raw material 4 0 500 0
Raw material 5 150 150 0
Objective function value = 3637.5
Suppose (!) you want to solve the problem in exercise 7d. manually; so producing three final products
(j=1,2,3) with five different raw-materials (i=1,2,3,4,5).
7-e Do you need to apply the two-phase method? (Argue your answer!)
Yes, in the constraints with >= you get a – Y. If you put this in the simplex tableaus, you don't have a
unit matrix. So you have to add Z to get the unit matrix. Then you have to get rid of the Z in phase I
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 $8.68. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
77254 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now