268 Consider the following minimum-cost flow model: (8) Network Models (5, $6.1) (8) (7,$5) (4, $4.4)...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
268 Consider the following minimum-cost flow model: (8) Network Models (5, $6.1) (8) (7,$5) (4, $4.4) (4, $2) A (6, $5.5) (3, $7) (5, $5) We wish to send eight units from node 1 to node 5 at minimum cost. The numbers next to the arcs indicate upper bounds for the flow on an arc and the cost per unit of flow. The following solution has been proposed, where the numbers next to the arcs are flows. (5, $3) 3 (4, $3.2) (-8) (-8) The total cost of the proposed solution is $66.8. a) Is the proposed solution a feasible solution? Is it a basic feasible solution? Why? b) How can the proposed solution be modified to constitute a basic feasible solution? c) Determine multipliers on the nodes associated with the basic feasible solution given in (b). Are these multipliers unique? d) Show that the basic feasible solution determine in (b) is not optimal. e) What is the next basis suggested by the reduced costs? What are the values of the new basic variables? Nonbasic variables? 268 Consider the following minimum-cost flow model: (8) Network Models (5, $6.1) (8) (7,$5) (4, $4.4) (4, $2) A (6, $5.5) (3, $7) (5, $5) We wish to send eight units from node 1 to node 5 at minimum cost. The numbers next to the arcs indicate upper bounds for the flow on an arc and the cost per unit of flow. The following solution has been proposed, where the numbers next to the arcs are flows. (5, $3) 3 (4, $3.2) (-8) (-8) The total cost of the proposed solution is $66.8. a) Is the proposed solution a feasible solution? Is it a basic feasible solution? Why? b) How can the proposed solution be modified to constitute a basic feasible solution? c) Determine multipliers on the nodes associated with the basic feasible solution given in (b). Are these multipliers unique? d) Show that the basic feasible solution determine in (b) is not optimal. e) What is the next basis suggested by the reduced costs? What are the values of the new basic variables? Nonbasic variables?
Expert Answer:
Related Book For
Finite Mathematics and Its Applications
ISBN: 978-0134768632
12th edition
Authors: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair
Posted Date:
Students also viewed these mechanical engineering questions
-
Consider the diode bridge rectifier shown below with the voltage regulating capacitor in parallel with the load resistor. 60Hz 120V 10:1 C-470F IL R=1kQ a) For the input signal, sketch waveforms of...
-
Q1. Suppose player A and player B are playing the following game. Player A can choose "Up" and "Down", while player B can choose "Left" and "Right". The payoff matrix is depicted below. Player A's...
-
XYZ is considering buying a new, high efficiency interception system. The new system would be purchased today for $46,400.00. It would be depreciated straight-line to $0 over 2 years. In 2 years, the...
-
Graph the sets of points whose polar coordinates satisfy the equations and inequalitie. 0 /6, r 0
-
Under what conditions is revenue reported on a net basis?
-
A J plc supplies and fits car tyres, exhaust pipes and other components. The company has branches throughout the country. Roughly 60 per cent of sales are for cash (retail sales). The remainder are...
-
On 1 April year 1, a deep discount bond was issued by DDB AG. It had a face value of 2.5 million covering a five-year term.The lenders were granted a discount of 5%. The coupon rate was 10% on the...
-
Accounting records for Thames Corporation yield the following data for the year ended March 31, 2012: Inventory, March 31, 2011 .........................................................................
-
7. Determine the polynomial function that passes through (0,42), (1,0), (2, -40), (3, -72)
-
Prevosti Farms and Sugarhouse pays its employees according to their job classification. The following employees make up Sugarhouse's staff: Employee Number Name and Address Payroll information...
-
1. What is the "Lysgaard Curve" and what does it show? 2. What is the difference between Hofstede and the World Value Survey cultural measures? Are there others? Which should you use and when? 3. Is...
-
Happy Harbor, a retail seller of boating accessories, physically counts its 1 2 / 3 1 / 2 0 X 2 inventory determining that $ 6 5 , 0 0 0 of merchandise was on hand as of this date. i . During the...
-
John has a diagnosis of heart failure and has to take 4 new medications. You receive the prescriptions and realize it has been written for brand. Before you suggest dispensing generic, you check out...
-
Each taxpayer is covered by an employer retirement plan in 2 0 2 3 . Choosing from the listed scenarios, who may qualify for a full deduction of their traditional IRA contribution?
-
The Sydney Opera House, an iconic architectural landmark and United Nations Educational, Scientific, and Cultural Organization World Heritage Site, was officially opened in 1973. The project cost...
-
Design a storyboard by designing a map that organizes the required... Design a storyboard by designing a map that organizes the required elements of the game (rooms, items, and villains) . Using the...
-
Presented below are incomplete 2022 manufacturing cost data for Sunland Corporation. Determine the missing amounts. Direct Materials Used Direct Manufacturing Labor Overhead (a) $44,080 $92,800...
-
$10,000 was borrowed at 3.5% on July 17. The borrower repaid $5000 on August 12, and $2000 on September 18. What final payment is required on November 12 to fully repay the loan?
-
1. How many times must a person roll a die so that the probability of obtaining at least one 6 is greater than 95%? 2. How many times must a person roll a die so that the probability of obtaining at...
-
An automobile insurance company classifies applicants by their driving records for the previous three years. Let S = {applicants who have received speeding tickets}, A = {applicants who have caused...
-
What is a bar chart? A pie chart? A histogram? A box plot?
-
Discuss the implications for businesses of a substance approach being used for the presentation of liabilities and equity. Indicate how the terms of an instrument could present problems in...
-
Following from Question 4, if the debt instrument was included in the balance sheet at fair value through profit or loss this would mean that a profit would be recognised in the income statement....
-
Disclosure of the fair values of financial instruments (as required by FRS 13 in the UK) is better than measuring them at fair values in the financial statements (as is often required by IAS 39)...
Study smarter with the SolutionInn App