# Suppose that one of the following constraints arises when applying the implicit enumeration…

Suppose that one of the following constraints arises when applying the implicit enumeration…
Suppose that one of the following constraints arises when applying the implicit enumeration algorithm to a 0−1 integer program:                                   −2×1 − 3×2 + x3 + 4×4 ≤ −6,                                               (1)                                    −2×1 − 6×2 + x3 + 4×4 ≤ −5,                                              (2)                                  −4×1 − 6×2 − x3 + 4×4 ≤ −3.                                                 (3) In each case, the variables on the lefthand side of the inequalities are free variables and the righthand-side coefficients include the contributions of the fixed variables. a) Use the feasibility test to show that constraint (1) contains no feasible completion. b) Show that x2 = 1 and x4 = 0 in any feasible completion to constraint (2). State a general rule that shows when a variable xj, like x2 or x4 in constraint (2), must be either 0 or 1 in any feasible solution. [Hint. Apply the usual feasibility test after setting xj to 1 or 0.]  c) Suppose that the objective function to minimize is: z = 6×1 + 4×2 + 5×3 + x4 + 10,  and that z = 17 is the value of an integer solution obtained previously. Show that x3 = 0 in a feasible completion to constraint (3) that is a potential improvement upon z with z < z.="" (note="" that="" either="">1 = 1 or x2 = 1 in any feasible solution to constraint (3) having x3 = 1.)  d) How could the tests described in parts (b) and (c) be used to reduce the size of the enumeration tree encountered when applying implicit enumeration? Apr 24 2022 07:43 AM

## Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
\$26
The price is based on these factors:
Number of pages
Urgency
Basic features
• Free title page and bibliography
• Unlimited revisions
• Plagiarism-free guarantee
• Money-back guarantee
On-demand options
• Writer’s samples
• Part-by-part delivery
• Overnight delivery
• Copies of used sources
Paper format
• 275 words per page
• 12 pt Arial/Times New Roman
• Double line spacing
• Any citation style (APA, MLA, Chicago/Turabian, Harvard)

# Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

### Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

### Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

### Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.