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1. Write the dual of the above max-?ow problem.
2. Solve both problems with AMPL, and for each print the values of the vari- ables and the values of the dual variables (if a problem has a constraint c1, its dual value can be displayed with the command "display c1.dual;"). Verify that the numbers correspond between primal and dual, and that the optimal solution of the primal and the dual is in accordance with duality.
3. Show the minimum cut that results from solving the dual problems.
4. Consider replacing the objective function in the max cut problem with max xs1+xs2 which gives an equivalent formulation of the max-?ow prob- lem. How does the dual formulation change? Explain why it is equivalent to the ?rst dual problem.
max x2t + x3t
xs1 = x12 + x13
xs2 + x12 = x2t
x13 = x3t
0 ≤ xs1 ≤ 2
0 ≤ xs2 ≤ 3
0 ≤ x12 ≤ 3
0 ≤ x13 ≤ 4
0 ≤ x2t ≤ 2
0 ≤ x3t ≤ 1
how do I change a existing formula with a new formula and it show the result
VARIATION OF PARAMETERS - HIGHER ORDER DIFFERENTIAL EQUATIONS We now require taking a look at the second method of finding a particular solution to a differential equation
In this exercise you will develop a small 'Pop Game' in which the user will "pop" shapes that are drawn on the screen. The game will be time based, showing a shot clock at the top
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1- If the order of a (mod P) is 3, prove that the order of a+1 is 6. 2- Explain why the "simplifiled knapsack" code is not secure.
Determine the solution to the following differential equation. x 2 y′′ + 3xy′ + 4 y = 0 Solution Find the roots to (3) first as generally. r(r -1) + 3r + 4 = 0 r
a) Write a program i_language(Sentence,NewSentence) that translates a sentence to the i-language. In this language all vowels are changed to i and all other characters are kep
Task 1 Think about a Web site you would like to work on for Assignment 2. For example, you can do a personal interest site, a site for your favourite nonprofit organization,
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