Consider the following BIP problem: Maximize Z = -5x + 25x subject to -3x + 30x...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Consider the following BIP problem: Maximize Z = -5x₁ + 25x₂ subject to -3x₁ + 30x₂ ≤ 27 3x₁ + x₂ ≤ 4 and x₁, x₂ are binary. (a) Solve this problem graphically. (b) Solve the LP relaxation graphically. Round this solution to the nearest integer solution and check whether it is feasible. Then enumerate all the rounded solutions by rounding this solution for the LP relaxation in all possible ways (i.e., by rounding each noninteger value both up and down). For each rounded solution, check for feasibility and, if feasible, calculate Z. Are any of these feasible rounded solutions optimal for the BIP problem? Consider the following BIP problem: Maximize Z = -5x₁ + 25x₂ subject to -3x₁ + 30x₂ ≤ 27 3x₁ + x₂ ≤ 4 and x₁, x₂ are binary. (a) Solve this problem graphically. (b) Solve the LP relaxation graphically. Round this solution to the nearest integer solution and check whether it is feasible. Then enumerate all the rounded solutions by rounding this solution for the LP relaxation in all possible ways (i.e., by rounding each noninteger value both up and down). For each rounded solution, check for feasibility and, if feasible, calculate Z. Are any of these feasible rounded solutions optimal for the BIP problem?
Expert Answer:
Related Book For
Introduction to Operations Research
ISBN: 978-1259162985
10th edition
Authors: Frederick S. Hillier, Gerald J. Lieberman
Posted Date:
Students also viewed these management leadership questions
-
Consider the following BIP problem: Maximize Subject to and all xj binary. Z=2x1 +3x2 +x3 + 4x4 + 3x5 +2t6 27 + 3x 3x2 + x4 + x23 12 t 12 26 3x7 2x 2 4
-
Solve the following problem graphically and find the optimum solution Max Z 3 x1 2x2 Subject to 2x1 4x220 1x1 4x210 x13x21 x1x20 Solve the following problem graphically and find the optimum solution...
-
Solve the following LP problem first graphically and then by the simplex algorithm: Maximize profit = 4X1 + 5X2 Subject to X1 + 2X2 80 3X1 + X2 75 X1, X2 0 What are the values of the basic...
-
Which of the following options are available for creating a policy in Qualys Policy Compliance? (Choose three) A, Create from Host B, Create from Scratch C, Import from Library D, Import from CSV File
-
A recently hired chief executive officer wants to reduce future production costs to improve the company's earnings, thereby increasing the value of the company's stock. The plan is to invest $40,000...
-
Can you find an analogy in our daily life as to when we use two separate connections in communication similar to the control and data connections in FTP?
-
The Bonferroni adjustment is made by multiplying the P-value by the number of___________________ . In Exercises 3 and 4, fill in each blank with the appropriate word or phrase.
-
Identify the five components that comprise pension expense. Briefly explain the nature of each component.
-
1 - The management of KADJI expects to receive cash revenues of $120m, $180m and $300m four, five and six years from now, respectively.KADJI can earn an annual return of 5%, compounded annually, on...
-
Design the 4-to-1 MUX two ways Write a Verilog module called mux4to1 to implement 4-to-1 multiplexer using functional descriptions and if-else blocks. Write another Verilog module called...
-
Timothy and Anna make two stops on their way to Henrys house. They stop to pick up some rocks and then stop again to rest and stop. There are two routes from Timothys house to the spot they picked up...
-
Mike's total RRSP contribution room for the current year is $8,000, while his wife Maria's room is $2,000. Mike has decided to contribute $5,000 to his own RRSP and $3,000 to a spousal RRSP for...
-
The European Community's Directive on Data Protection strictly limits how database information is used and who has access to it. Some of the restrictions include registering all databases containing...
-
1. What must be the betas of a portfolio with the following expected returns E (rp) = 18%, 8%, 28%, and 36%, if r = 4% and E(M) 14%? =
-
If a comparable property is 19% superior to the subject property and the comparable sold for $207,693, what is the indicated value of the subject?
-
If you invested $100 at the beginning of the year in an account that pays 1.5% compounded monthly, approximately how much would you have at the end of 3 years?
-
A) Suppose global climate models call for 2 C of warming in the climate between 2020 and 2050 and that corn yields decrease 10 % for every degree of warming. The baseline yield growth rat is 1% per...
-
Juanita owns a home in Richardson, TX. She purchases a Homeowners Policy (HO-3) from Farm State Ins. Co. The policy provides $100,000 in liability coverage (coverage E) and $5,000 in Med Pay coverage...
-
A contractor, Susan Meyer, has to haul gravel to three building sites. She can purchase as much as 18 tons at a gravel pit in the north of the city and 14 tons at one in the south. She needs 10, 5,...
-
A company provides its three employees with health insurance under a group plan. For each employee, the probability of incurring medical expenses during a year is 0.9, so the number of employees...
-
Flight 120 between Seattle and San Francisco is a popular flight among both leisure and business travelers. The airplane holds 112 passengers in a single cabin. Both a discount 7-day advance fare and...
-
The temporary account used only in the closing process to hold the amounts of revenues and expenses before the net difference is added or subtracted from the owners capital account is called the a....
-
Refer to Circuit Citys balance sheet in Appendix A Identify the accounts listed as current liabilities. Consolidated Balance Sheets $ in millions, except per share amounts Asset Current Assets Cash...
-
Determining effects of closing entries Gloriosa Company began the current period with a \($28,000\) credit balance in the M. Gloriosa, Capital account. At the end of the period, the companys adjusted...
Study smarter with the SolutionInn App