Question

In: Statistics and Probability

The network above shows the flows possible between pairs of five locations. 1) Formulate an LP...

The network above shows the flows possible between pairs of five locations.

1) Formulate an LP to find the maximal flow possible from Node 1 to Node 5 (identify all constraints),

Please show full steps.

Solutions

Expert Solution

The solution is:

The formulas are:

Data - Arc capacities
From\to Node 1 Node 2 Node 3 Node 4 Node 5
Node 1 0 2 1 6 0
Node 2 0 0 3 0 0
Node 3 0 0 0 3 7
Node 4 0 0 4 0 3
Node 5 0 0 0 0
Flows
From\to Node 1 Node 2 Node 3 Node 4 Node 5 Outflow
Node 1 2 1 6 9
Node 2 2 2
Node 3 7 7
Node 4 4 2 6
Node 5 9 9
Inflow 9 2 7 6 9
Outflow 9 2 7 6 9
Max Flow 9

Related Solutions

A. draw all the possible stereoisomers for 1-bromo-1,4-dimethylcyclohexane and identify the relationship of the pairs of...
A. draw all the possible stereoisomers for 1-bromo-1,4-dimethylcyclohexane and identify the relationship of the pairs of isomers to each other. B. 1-bromo-1,4-dimethylcyclohexane reacts with methanol (CH3OH). Show the mechanism and products. Show stereochemistry of the products (if any). What is major product produced. Explain answer.
The figure above shows four very thin parallel planes of charge with equal separation between them.  ...
The figure above shows four very thin parallel planes of charge with equal separation between them.   The charge density on plate 1 is 3 nC/m2. The charge density on plate 2 is 4 nC/m2. The charge density on plate 3 is 2 nC/m2. The charge density on plate 4 is -4 nC/m2. Your answers for the electric field must include the correct sign. We choose positive electric field along the positive x-direction. I am unable to put the image but...
(1) What is the relationship, if any, between the following pairs of substances : a) Strong...
(1) What is the relationship, if any, between the following pairs of substances : a) Strong electrolyte and strong acid or base. b). Weak electrolyte and weak acid or base. c). The cause of the differences in the conductances (currents) of isomolar solutions of KNO3 and Ca(NO3)2
1) The budget line shows the set of all possible combinations: a. that yield the same...
1) The budget line shows the set of all possible combinations: a. that yield the same level of utility to the consumer b. that maximize a customer’s utility c. that can be purchased, given the consumer’s income and the price of the goods d. that are equilibrium points 2) The budget line will shift parallel to the left if: a.income increases b.income decreases c.the price of the good on the vertical axis increases d.the price of the good on the...
1. The following table shows the salaries of five managers and their years of work experience...
1. The following table shows the salaries of five managers and their years of work experience in managerial positions. Years of Salary Experience ($1000s) 6 120 5 95 4 88 10 150 5 97 a. Use the method of Ordinary Least Square (OLS) to compute the slope and intercept of sample regression line. You need to decide which one is the dependent variable. In addition, write down the estimated sample regression line. b. Explain the meaning of each estimated coefficient...
1) how does the presence of lone pairs affect the angle between the atoms bonded to...
1) how does the presence of lone pairs affect the angle between the atoms bonded to central atom? 2) draw the more stable valence electron orbital diagram for carbon. 3) if a carbon bond is sp3 hybridizedit must have ___ sigma bonds and ___ pi bond. The shape of the molecule at the pi bond must be _______.
Given the following five pairs of (x, y) values, x 1 3 11 8 14 y...
Given the following five pairs of (x, y) values, x 1 3 11 8 14 y 10 7 4 2 1 (a) Determine the least squares regression line.   (Be sure to save your unrounded values of b0 and b1 for use in Problem #6 below.) (b) Draw the least squares regression line accurately on a scatterplot. Then look to see which (x, y) pairs are above the regression line. Then add up the y-values for all of the (x, y)...
1. Discuss any FIVE (5) benefits generated by the value delivery network of online retailers. Provide...
1. Discuss any FIVE (5) benefits generated by the value delivery network of online retailers. Provide your clear justification on the benefits 2. Discuss FOUR (4) improvements needed on the value delivery network of online retailers to further enhance their competitive advantages. Provide examples in your explanation.
Assume that you have the following possible cash flows: Years 1 and 2 CFs = $300;...
Assume that you have the following possible cash flows: Years 1 and 2 CFs = $300; Year 3 CF = $100; Years 4 and 5 CFs = $200. What is the value of the cash flows at year 4 if the required discount rate is 5%?
1. The relationship between stockholders and management is an agency relationship. In such a relationship, possible...
1. The relationship between stockholders and management is an agency relationship. In such a relationship, possible conflicts of interest or agency problem could arise. Explain five (5) control devices available to the shareholders to reduce the potential of agency problem and to ensure that management acts for the best interest of the stockholders.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT