Prove that if a feasible solution to a maximum problem in equality form is locally optimal, then

Question:

Prove that if a feasible solution to a maximum problem in equality form is locally optimal, then it is optimal. (A solution is locally optimal if its objective value exceeds those of all feasible points in some neighborhood of this solution.)

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Introduction To The Mathematics Of Operations Research With Mathematica

ISBN: 9781574446128

1st Edition

Authors: Kevin J Hastings

See More Books

Question Posted: May 19, 2024 02:04 AM

See More Questions

Warm Sheep Inc. of New Zealand markets woolen products for the burgeoning Asian consumer market. The company's current assets, current liabilities and sales have been reported as follows over the...
CANMNMM January of this year. (a) Each item will be held in a record. Describe all the data structures that must refer to these records to implement the required functionality. Describe all the...
Label each of the following statements about linear programming problems as true or false, and then justify your answer. (a) If a feasible solution is optimal but not a CPF solution, then infinitely...
Draw with Ruler Touch Touch 4x For each of the three simple circuit boards you will need to calculate the total resistance, Req, for the entire circuit board by using the measured resistances of each...
Calculate the cost, in ATP equivalents, of converting 12 acetyl- CoA to lignocerate when elongation occurs in the endoplasmic reticulum.
A researcher wants to determine the effect that smoking has on resting heart rate. She randomly selects seven individuals from three categories: (1) nonsmokers, (2) light smokers (fewer than 10...
If a graph is composed of two cycles joined only at a single vertex $p$, then no Hamilton path can be formed starting or ending at any vertex that is adjacent to $p$. a. True b. False
In February or March, Corning Glass Works orally agreed to retain Hanan as management consultant from May 1 of that year to April 30 of the next year for a present value fee of $200,000. Was this...
ABC Corporation ( an S - corporation ) is owned by Jane and Rebecca, who are each 5 0 percent shareholders. At the beginning of the year, Jane's basis in her ABC stock was $ 4 0 , 0 0 0 . ABC...
Let $\mathscr{G}$ be an RKHS with reproducing kernel $\kappa$. Show that $\kappa$ is a positive semidefinite function.
Express the constraints below in equality form by inserting slack variables, then find two basic feasible solutions and argue that they do satisfy the definition of basic feasible solution. x1 - X2 +...
Do you agree that the European Union should be able to block mergers between two U.S.-based firms? Why or why not?
Discuss the Chinese governments influence on the value of the yuan and how this is affecting the U.S. economy. In today's economic environment, which factor appears to have the greatest influence on...
Crack length versus cycle data is given in the table below from a test on a edge-cracked plate of 7075-T6 aluminum. The specimen dimensions: h=445, b= 152.4, and t = 2.29 mm. The force was cycled...
4. (5 points) There can often be confusion about when to use the wavelengths of light and the various formulae for light versus the de Broglie wavelength for matter and the formula that connects the...
Each aircraft is expected to be able to increase MAS's revenues by RM72, 900,000 during the first year of its operation. The revenue then is projected to increase by 4% per annum throughout the...
please give the analysis on the Classification based on various cost .brifley describe on these classifications.
The 3-kg object in Figure is released from rest at a height of 5 m on a curved frictionless ramp. At the foot of the ramp is a spring of force constant k = 400 N/m. The object slides down the ramp...
What is beacon marketing? What are digital wallets?
Clear Manufacturing uses powdered plastics ( PPS ) to manufacture a high - pressure board used in a digital equipment product, Flex 1 0 . Information concerning its operation in June is as follows:...
Required: 1 . Prepare a complete statement of cash flows using the indirect method for the current year. ( Amounts to be deducted should be indicated with a minus sign. ) FORTEN COMPANY Statement of...
Current Attempt in Progress Cullumber Auto Repair Company owns a garage and is contemplating purchasing a tire retreading machine. Cullumber projects a net cash inflow from the retreading machine of...

Prove that if a feasible solution to a maximum problem in equality form is locally optimal, then

Question:

Step by Step Answer:

Introduction To The Mathematics Of Operations Research With Mathematica

Students also viewed these Mathematics questions