Question: A parcel delivery service will deliver a package only if the length plus girth (distance around) does not exceed 108 inches. (A) Find the dimensions

A parcel delivery service will deliver a package only if the length plus girth (distance around) does not exceed 108 inches.
(A) Find the dimensions of a rectangular box with square ends that satisfies the delivery service's restriction and has maximum volume. What is the maximum volume?
(B) Find the dimensions (radius and height) of a cylindrical container that meets the delivery service's requirement and has maximum volume. What is the maximum volume?

Length Girth

Step by Step Solution

★★★★★

3.46 Rating (169 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

A Let x length of the side of the square Then L 4x 108 or L 108 4x The volume of the box Lx 2 x 2 ... View full answer

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

828-B-F-F-M (4573).docx

120 KBs Word File

Students Have Also Explored These Related Finance Questions!

Maximum volume. A mailing service states that a rectangular package shall have the sum of its length and girth not to exceed 120 inches (see the figure). What are the dimensions of the largest (in...

A parcel delivery service will only deliver pack-ages with length plus girth (distance around) not exceeding 108 in. A rectangular shipping box with square ends x inches on a side is to be used. (A)...

A rectangular storage container with an open top is to have a volume of 1500 cubic centimeters. The length of its base is 1.5 times the width. Material for the base costs 25 cents per square...

Four questions: A parcel delivery service will deliver a package only if the length plus girth (distance around) does not exceed 108 inches. (A) Find the dimensions of a rectangular box with square...

18. A parcel delivery service will deliver a package only if the length plus girth (distance around) does not exceed 108 inches. Find the dimensions of a rectangular box with square ends that...

A parcel delivery service will deliver a package only if the length plus girth (distance around) does not exceed 96 inches. (A) Find the dimensions of a rectangular box with square ends that...

A parcel delivery service will deliver a package only if the length plus girth (distance around) does not exceed 120 inches. (A) Find the dimensions of a rectangular box with square ends that...

Tab Corporation purchases land for $690,000 in 2015. Tab Corporation chooses to use the revaluation model. The fair values of the land are: 2015 $740,000 2016 - $520,000 2017 $600,000 Required a)...

The compound shaft, consisting of steel and aluminum segments, carries the two torques shown in the figure. Determine the maximum permissible value of T subject to the following design conditions:...

The ability of an investing company to affect the operating and financial activities of another company, even though the investor holds less than 5 0 % of the stock, is known as significant...

Which of the following estimating techniques use a statistical relationship between historical data and other variables to calculate cost or duration estimates for project work? A. Bottom-up...

In Problem given a normal distribution with mean -15 and standard deviation 10, find the number of standard deviations each measurement is from the mean. Express the answer as a positive number. 13.5

In Problem construct a histogram for the binomial distribution P(x) = n C x p x q n x , and compute the mean and standard deviation if n = 5, p = 0

Two dice are rolled three times. What is the probability of getting a sum of 7 at least once?

DN 0 2

show work by hand (no excel) Q5.5. You have been given the following return data on three assets A. B, and C-over the period 2021-2024. Esing these assets, you have decided to analyze three...

A sample of employees at a Company ZZ was asked to indicate a preference of turnover intention. The results are given in the following table. Does it seem that there is a relationship between...