A rectangular closed box is to be built at minimum cost to hold 125 m 3 Since the cost will depend on the surface area, find the dimensions that will minimize the surface area of the box ...

Let x y and z be the dimensions of the box The sur ...

A rectangular closed box is to be built at minimum cost to hold 125 m 3 .

Question:

A rectangular closed box is to be built at minimum cost to hold 125 m³. Since the cost will depend on the surface area, find the dimensions that will minimize the surface area of the box.

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

Step by Step Answer:

Related Book For book-img-for-question

Calculus With Applications

ISBN: 9780135871348

12th Edition

Authors: Margaret L. Lial

See More Books

Question Posted: Jan 19, 2023 03:13 AM

See More Questions

A sealed electronic box is to be cooled by tap water flowing through the channels on two of its sides. It is specified that the temperature rise of the water not exceed 4C. The power dissipation of...
A highway is to be built between two towns, one of which lies 35.0 km south and 72.0 km west of the other. What is the shortest length of highway that can be built between the two towns, and at what...
A sealed electronic box is to be cooled by tap water flowing through the channels on two of its sides. It is specified that the temperature rise of the water not exceed 4C. The power dissipation of...
Use the following table, Present Value of an Annuity of 1 Period 8% 9% 10% 1 0.926 0.917 0.909 2 1.783 1.759 1.736 3 2.577 2.531 2.487 A company has a minimum required rate of return of 9 %. It is...
A process that is in control has a mean of = 12.5 and a standard deviation of = .8. a. Construct the x-bar control chart for this process if samples of size 4 are to be used. b. Repeat part (a) for...
What techniques would an auditor use to investigate significant fluctuations discovered during analytical procedures?
What benefits does using a single currency, the euro, provide to European countries? LO.1
Archer Uniforms, Inc., is a distributor of professional uniforms to retail stores that sell work clothing to professionals, such as doctors, nurses, security guards, etc. Traditionally, most of the...
NPV Commodity Copper is considering the instaliation of a $1,782,000 production conveyor system that would generate the following labor cost sowirgs over its 10 -year ife: A. The system wat have no...
The probability that a three-person jury will make a correct decision is given by where 0 < a < 1 is the probability that the person is guilty of the crime, r is the probability that a given jury...
Find f xx (x, y) and f xy (x, y). (x, y) = ln |2 - x 2 y|
Solve Exercise E7, when the production total cost function has a form: Exercise E7 There are given: or equivalently: clot (x1, x2) = a(f(x, x)) + (x, x) + Y, tot (y) =ay +By+y, where y=f(x1, x2) is...
1 Evaluate the given limits using the 10. f(x) = (x-3)(x-5) (a) lim f(x) X-3 (b) lim f(x) x-3+ (c) lim f(x) X-3 graph of the function (d) lim f(x) x+5= (e) lim f(x) x+5+ (f) lim f(x) X-5 50 y -50 2 6...
In Year 1 , Stallman Co . had a break - even point of 8 0 , 0 0 0 units, a selling price of $ 1 9 per unit, and fixed costs of $ 2 0 0 , 0 0 0 . What is Stallman Co . s variable cost per unit? (...
What will be the output of following statements: int a = 3; if(a!= 3){ cout
28. What will this program print, assuming dynamic scoping? (10 points) Consider the following code snippet for problems #29-31. For this problem, assume dynamic scoping. program main() 1. 2. { 3. 4....
The reaction X + Y products was studied using the method of initial rates. The initial rate of consumption of X was measured in three different experiments. Data are provided below. Expt [X] 0 (in...
Will invests $2000 in his IRA in a bond trust that pays 9% interest compounded semiannually. His friend Henry invests $2000 in his IRA in a certificate of deposit that pays 8%compounded continuously....
Integration is a vital concept when applied in one?s life. Integrating your life means making ideal choices. Perfect choices on the other go in line with quality decisions. Quality decisions lead to...
In Exercises 1 through 16, use the method of Lagrange multipliers to find the indicated extremum. You may assume the extremum exists. Let f(x, y, z) = x + 2y + 3z. Find the maximum and minimum values...
In Exercises 1 through 22, find the critical points of the given functions and classify each as a relative maximum, a relative minimum, or a saddle point. f(x, y) = x 3 4xy + y 3
In Exercises 1 through 16, compute the indicated functional value. F(r, s, t) In(r + t) r+s+t F(1, 1, 1), F(0, e, 3e)
Read the following and then answer the questions below:September 12: A Brisbane business offers by letter to sell 500 tyres to a New Zealand company. The Brisbane company does not specify a method of...
Fred returns home from work one day to discover his house surrounded by police. His wife is being held hostage and threatened by her captor. Fred pleads with the police to rescue her and offers...
Would like you to revisit one of these. Consideration must be clear and measurable.if you can't measure it then how can you show it has / has not been done?How can you sue someone for breach of...

A rectangular closed box is to be built at minimum cost to hold 125 m 3 .

Question:

Step by Step Answer:

Let x y and z be the dimensions of the box The sur...View the full answer

Calculus With Applications

Students also viewed these Mathematics questions