Consider the following integer linear programming problem: Max Z= 3x + 2x Subject to: 3x +...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Consider the following integer linear programming problem: Max Z= 3x₁ + 2x₂ Subject to: 3x₁ + 5x₂ ≤ 30 5x₁ + 2x₂ ≤28 x₁ ≤8 X₁X₂20 and integer The solution to the linear programming formulation is: x₁ = 4.210, x₂ = 3.473. What is the optimal solution to the integer linear programming problem (the optimal values of decision variables and the value of the objective function)? ⒸA. x₁ = 2, X₂ = 3, Z = 12 B. x₁=5, X₂-3, Z=21 ⒸC.x₁ = 4, x₂ = 3, Z = 18 D.x₁ = 4, x₂ = 4, Z = 20 Consider the following integer linear programming problem: Max Z= 3x₁ + 2x₂ Subject to: 3x₁ + 5x₂ ≤ 30 5x₁ + 2x₂ ≤28 x₁ ≤8 X₁X₂20 and integer The solution to the linear programming formulation is: x₁ = 4.210, x₂ = 3.473. What is the optimal solution to the integer linear programming problem (the optimal values of decision variables and the value of the objective function)? ⒸA. x₁ = 2, X₂ = 3, Z = 12 B. x₁=5, X₂-3, Z=21 ⒸC.x₁ = 4, x₂ = 3, Z = 18 D.x₁ = 4, x₂ = 4, Z = 20
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 mathematics questions
-
Consider the following integer nonlinear programming problem. Maximize Z = 3x21 x31 + 5x22 x32, Subject to x1 + 2x2 ¤ 4 and Sue dynamic programming to solve this problem. 10, 20 x are integers.
-
Consider the following integer nonlinear programming problem: Maximize Z = 4x21 x31 + 10x22 x42, Subject to x1 + x2 ¤ 3 and x1 ¥ 0, x2 ¥ 0 x1 and x2 are integers. This problem can be...
-
Consider the following integer nonlinear programming problem. Maximize Z = 18x1 x21 + 20x2 + 10x3, Subject to 2x1 + 4x2 + 3x3 11 and x1, x2, x3 are nonnegative integers. Use dynamic programming to...
-
Margaret Magee has served both as an outside director to Maxcor Manufacturing since 2007 and as a member of the companys compensation committee since 2011. Margaret has been reviewing Maxcors 2014...
-
Determine over- and underbillings for a company with the following information: Job Number: 311 Job Name: Smith Remodel Current Contract Amount: $22,530 Total Estimated Cost at Completion: $17,264...
-
Name two types of fungi. Why were fungi originally included in the plant kingdom? Biologists no longer consider fungi to be plants because they differ in many basic _____________ and ______________...
-
Incubators are organizations that provide startups with shared operating space. They are sponsored by universities, city or county governments, or nonprofit organizations. Incubators also provide...
-
1. Use the background information to develop a business profile for Personal Trainer. Be sure to indicate where more information will be needed. 2. Each new supercenter service represents a business...
-
1. Consider two satellites S and S with periods of revolution 1hr. and 8 hr. respectively revolving around a planet in circular orbits. The ratio of angular velocity of satellite S to the angular...
-
The intern has prepared the following trial balance for the month of March. KL Company Inc. Unadjusted Trial Balance March 31, 20Y3 Debit Balances Account Title Cash Accounts Receivable Supplies...
-
The quality manager at Community Physician's Clinic is investigating a complaint that wait times are too long at the clinic. She wishes to use the median to determine the wait times. Round the mean...
-
Write a filter that reads in a sequence of integers and prints the integers, removing repeated values that appear consecutively. For example, if the input is 1 2 2 1 5 1 1 7 7 7 7 1 1 1 1 1 1 1 1 1,...
-
In the block-and-tackle arrangement shown in Figure P9.30, three segments of the single rope pull on the block. (a) Show that the magnitude \(F_{\mathrm{pr}}^{\mathrm{c}}\) of the force exerted by a...
-
A \(20-\mathrm{kg}\) child runs up the amusement-park wave slide shown in Figure P9.29. When she is nearly at the top of the first hump, which is \(0.90 \mathrm{~m}\) above the water, she flops down...
-
How has the perception of national anthem protests changed between 2016 and today, and why might this be the case?
-
A plane makes a 660-mile flight with the wind in \(2 \frac{1}{2}\) hours. Returning against the wind takes 3 hours. Find the wind speed.
-
Faced with this type of decision, how do you think a business should decide which capitalization option is best? Should it solely be based "on the numbers" or should the impact on current holders be...
-
For the data in Exercise 17-19, use the FIFO method to summarize total costs to account for, and assign these costs to units completed and transferred out, and to units in ending work in process....
-
The Lockhead Aircraft Co. is ready to begin a project to develop a new fighter airplane for the U.S. Air Force. The companys contract with the Department of Defense calls for project completion...
-
Use the dual simplex method manually to solve the following problem. Minimize Z = 7x1 + 2x2 + 5x3 +4x4, Subject to and xj ¥ 0, for j = 1, 2, 3, 4. 2x1 4x2 + 7x3x425 8xi 4x2 63 4x4 2 8 3x 82 t...
-
For each of the following statements about the queue in a queueing system, label the statement as true or false and then justify your answer by referring to a specific statement in the chapter. (a)...
-
True or False: Engineers seldom have an opportunity to influence the recovery period for expenditures.
-
A lumber company purchases and installs a wood chipper for \(\$ 200,000\). The chipper is classified as MACRS 7-year property. Its useful life is 10 years. The estimated salvage value at the end of...
-
True or False: Straight-line depreciation is the most popular depreciation method used in financial reporting.
Study smarter with the SolutionInn App