The Gateway to Computer Science Excellence
First time here? Checkout the FAQ!
x
0 votes
103 views
  1. The following table gives the cost of transporting one tonne of goods from the origins A, B, C to the destinations F, G, H. Also shown are the availabilities of the goods at the origins and the requirements at the destinations. 

    The transportation problem implied by this table can also be written in the form

    $$\text{minimize} \: \: \underline{c} \: ^T \: \underline{x}$$

    $$\text{subject to :}  \: \: Ax= \underline{b}$$

    $$ \underline{x} \geq 0$$

    Display $\underline{c} \: ^T , A$ and $\underline{b}$ if $\underline{x}$ is the vector

    (XAF, XAG, XAH, XAH, XBF, XBG, XBH, XCF, XCG, XCH)

    Where $x_{ij}$ represents the shipment from $i$ to $j$.
  2. Given that XAG, XBH, XCF, XC are the variable in the basis, solve for the values of these variables in the above question(i).

  3. For the solution of (ii) above, calculate the values of the duals and determine whether this is an optimal solution.

asked in Others by Veteran (103k points) | 103 views

Please log in or register to answer this question.



Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true

41,055 questions
47,654 answers
147,220 comments
62,380 users