Question: Question 3You need to construct an open-top rectangular box with a square base that must hold a volume of exactly 625cm3. The material for the

Question 3You need to construct an open-top rectangular box with a square base that must hold a volume of exactly 625cm3. The material for the base of the box costs 9 cents ?cm2 and the material for the sides of the box costs 4 cents ?cm2.Find the dimensions for a box that will minimize the cost of the materials used to construct box. Please show your answers to at least 4 decimal places.width: cmheight: cm

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Suppose you have 1720 meters of fencing available with which to build three adjacent rectangular corrals as shown in the figure. Find the dimensions so that the total enclosed area is as large as...

An engineer is designing a pipeline which is supposed to connect two points P and S. The engineer decides to do it in three sections. The first section runs from point P to point Q, and costs $52 per...

*solve the attached4 questions. 15. Let /(x) =e-2' (a) Find any horizontal and vertical asymptotes of f(r). (b) Find the intervals where f(7) is increasing and the intervals where f (7) is...

This question from the final exam They don't give information. (6] (20 pts) A car is traveling at 50 mph due south at a point 1/2 mile north of an intersection. Another car is traveling at 40 mph due...

4. [-/9 Points] DETAILS A manufacturer wants to design an open-top box having a square base and a surface area of 144 square inches. What dimensions will provide a box with maximum volume? Length of...

A rectangle is constructed with its base on the xaxis and its upper two vertices on the parabola y = 36 - x2. What are the dimensions of the rectangle with the maximum area? What is the area? The...

Answer(s) submitted: 10. (1 point) If 1000 square centimeters of material is avail- able to make a box with a square base and an open top, find the largest possible volume of the box. (incorrect)...

Please solve and explain all steps. Answer(s) submitted: 10. (1 point) If 1000 square centimeters of material is avail- able to make a box with a square base and an open top, find the largest...

VFS : Exception Found X M Inbox (125) - krutikdesai03( X M Inbox (7,292) - krutikdesai2( x M (no subject) - krutikdesai20( x CamScanner 07-20-2022 21 x VA HW#13 Ch3.4 More on opti X + V X...

Question 1. Score: 25/25 A box with a square base and open top must have a volume of 32000 cm". We wish to find the dimensions of the box that minimize the amount of material used. First, find a...

According to a recent survey, the probability that a passenger files a complaint with the Department of Transportation about a particular U.S. airline is .000014. Suppose 100,000 passengers who flew...

Public accounting, which consists mostly of auditing the financial records of public companies, requires lots of travel time and a certification, the CPA (certified public accountant). Corporate...

The outcome of financial accounting is to A record all transactions in the of account B provide management with a detailed analysis of costs C present the financial results to the organization by...

Monsoon Inc. is considering bidding on a government project. To do the project, the company must make an initial investment of $9 million to purchase the necessary equipment. The project will last...