Let B 0 Show that the maximum of (x 1 , , x n ) x 1 x n subject to x 2 1 x 2 n B 2 is nB Conclude that for all numbers a, , an lal lanl n(a a) 1 2...

The Answer is in the image, click to view ...

Let B > 0. Show that the maximum of (x 1 , . . . , x

Question:

Let B > 0. Show that the maximum of ƒ(x₁, . . . , x_n) = x₁ + · · · + x_n subject to x²₁ + · · · + x²_n = B² is √nB. Conclude that

for all numbers a,..., an lal++lanl n(a + + a) / 1/2

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

Step by Step Answer:

Related Book For book-img-for-question

Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

See More Books

Question Posted: Jan 16, 2024 10:00 AM

Let B > 0. Show that the maximum of subject to the constraints x + this to conclude that f(x,...,xn) = X1 X2 Xn for all positive numbers a,..., an. . + xn = B and xj 0 for j = 1,. n occurs for x =...
Let X1, X2, , Xn be uniformly distributed on the interval 0 to a. Recall that the maximum likelihood estimator of a is a = max (Xi). (a) Argue intuitively why cannot be an unbiased estimator for a....
Let X1, X2, . . . , Xn be a random sample from a distribution with pdf f(x; ) = x1, 0 (a) Find a sufficient statistic Y for . (b) Show that the maximum likelihood estimator is a function of Y. (c)...
For each of the following demand functions, check whether they satisfy the weak axiom of revealed preferences (WARP) (a) "Random Demand". For any pair of prices p and p2 and income m, the consumer...
(Various Time Value Situations) Answer each of these unrelated questions. (a) On January 1, 2003, Rather Corporation sold a building that cost $250,000 and that had accumulated depreciation of...
A trucking company would like to compare two different routes for efficiency. Truckers are randomly assigned to two different routes. Twenty truckers following Route A report an average of 40...
To match revenues and expenses properly, should the expense for employee vacation pay be recorded in the period during which the vacation privilege is earned or during the period in which the...
You are a senior auditor with Rodriguez & Jones, a small auditing firm located in Canterbury, an eastern suburb of Melbourne, Victoria. Your team has been assigned to the audit of a new client,...
PharmaPlus operates a chain of 3 0 pharmacies. The pharmacies are staffed by licensed pharmacists and pharmacy technicians. The company currently employs 1 0 0 full - time - equivalent pharmacists (...
Let r = x 2 1 + + x 2 n and let g(r) be a function of r. Prove the formulas dg ; Xi -gr, r 02g ? || x? r28rr + p - x p.3 -gr
This exercise shows that the multiplier may be interpreted as a rate of change in general. Assume that the maximum of (x, y) subject to g(x, y) = c occurs at a point P. Then P depends on the value...
Paque Corporation owns 90% of the common stock of Segal Company. The stock was purchased for $810,000 on January 1, 2009, when Segal Companys retained earnings were $150,000. Financial data for 2013...
Companies that invest heavily in eco-friendly initiatives, such as transitioning to renewable energy sources or implementing carbon offset programs, may initially face increased operational costs....
Answer each question individually please. 14-13 What are the advantages and drawbacks of universities using social media to communicate with various stakeholdersstudents, potential students, alumni,...
act as a consultant hired by the operations director of the Barry Computer Company provide a financial analysis and comparison to the industry. You will conduct a financial ratio analysis to gain a...
Building a sense of community is not just a moral thing to do, but also a pragmatic one. In today's competitive and ever-evolving business environment, the organizations that can attract the most...
Watch https://youtu.be/U3MtvvNjUR4 What do you think of Dr. Saint's ideas about barriers to change? What do you think about social learning? Could this tool be used to make real change? How can the...
Solve by completing the square to obtain exact solutions. Show your work. a. x2 - 3x = 18 b. 3x2 - 12x - 6 = 0
Convert the numeral to a HinduArabic numeral. A94 12
Use a graphing utility to find the derivative of each function at the given number. f(x) = x 2 sinx at /3
Use a graphing utility to find the derivative of each function at the given number. f(x) = x 2 sinx at /4
Use a graphing utility to find the derivative of each function at the given number. f(x) = e x sinx at 2
Crane, Inc., a resort management company, is refurbishing one of its hotels at a cost of $6,794,207. Management expects that this will lead to additional cash flows of $1,560,000 for the next six...
Match each of the following transactions with the applicable internal control principle that is being violated
Vaughn Company sells two types of pumps. One is large and is for commercial use. The other is smaller and is used in residential swimming pools. The following inventory data is available for the...

Let B > 0. Show that the maximum of (x 1 , . . . , x

Question:

for all numbers a,..., an lal++lanl n(a + + a) / 1/2

Step by Step Answer:

Calculus

Students also viewed these Mathematics questions