Question: U.S. postal rules require that the length plus the girth of a package cannot exceed 84 inches. Find the dimensions of the rectangular package of

U.S. postal rules require that the length plus the girth of a package cannot exceed 84 inches. Find the dimensions of the rectangular package of greatest volume that can be mailed. 1 Figure 5 X Y

1 Figure 5 X Y

Step by Step Solution

★★★★★

3.42 Rating (165 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Let x y and be as shown in the figure Since 84 2x 2y the v... 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

Students Have Also Explored These Related Applied Calculus Questions!

Refer to Exercise 23. Find the dimensions of the cylindrical mailing tube of greatest volume that may be mailed using the US postal service. Data From Exercise 23: A package to be mailed using the US...

A package to be mailed using the US postal service may not measure more than 108 inches in length plus girth. (Length is the longest dimension and girth is the largest distance around the package,...

Use Lagrange multipliers to give an alternate solution to the indicated exercise in Section 4.7. Exercise 24 A package to be mailed using the US postal service may not measure more than 108 inches in...

1. [-/2 Points] DETAILS MY NOTES Consider the following. ((x, y) = 2x2 + y2 - 4x - 6y + 11 Find the point (x, y) where ((x, y) has a possible relative maximum or minimum. (Give the exact point.) (x,...

U.S. postal rules require that the length plus the girth of a package cannot exceed 84 inches in order to be mailed. Find the exact dimensions of the rectangular package of greatest volume that can...

x WaveNet x P Page 19 x New Tab x | + 27ale0a5fbc56bbcea547/pages/fcc4b69ece4852bab89a7d66eb2373d0?iesCode=KP93ONTWiY IS X Recent Functions of Several Variables 35. f(x, y) = x4 - 12x7 - 4xy - 12 +...

Contemporary Calculus PREVIEW OF CALCULUS Two Basic Problems Beginning calculus can be thought of as an attempt, a historically successful attempt, to solve two fundamental problems. In this section...

At the beginning of 1998, the population of the United States was 268, 924, 000 and growing at the rate of 1, 856, 000 per year. The annual per capita consumption of gasoline in the United States was...

prompt help Ifyou have 300 meters of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose? Area = 1" (include units) HINTS: Keep...

1. [-/1 Points] DETAILS WANEFMAC7 12.2.001. MY NOTES ASK YOUR TEACHER PRACTICE ANO Solve the optimization problem. HINT [See Example 2.] Maximize P = xy with x + y = 14. P = Need Help? Read It 2....

A company is considering two mutually exclusive expansion plans. Plan A requires a $40 million expenditure on a large-scale integrated plant that would provide expected cash flows of $6.4 million per...

Discuss when each of the following types of businesses is likely to recognize revenue: a. A shoe store. b. A shipbuilding firm constructing an aircraft carrier under a government contract. c. A real...

Find f ' ( x ) for the function. f ( x ) = 7 x ( 1 5 x ^ 4 + ( 1 3 / x + 1 ) )

The range is the difference between the highest sample value and the lowest sample value. In using this approach, what value is obtained from the sample data listed in Exercise 1 Birth Weights?

An order for an automobile can specify either an automatic or a standard transmission, either with or without air conditioning, and with any one of the four colors red, blue, black, or white....

Calls are repeatedly placed to a busy phone line until a connection is achieved. Provide a reasonable description of the sample space for each of the random experiments. There can be more than one...

In light-dependent photosynthesis, light quality refers to the wavelengths of light that are important. The wavelength of a sample of photo synthetically active radiations (PAR) is measured to the...

The entry to dose the expense accounts includes: a debit to Dividends and credits to the respective expense accounts. debits to the respective expense accounts and a credit to Retained Earnings. a...

& Moving 5o another question will save this esponse Ouestion 23 Use the following data to answers Questions 21-25 Beech Soda, Ibc uses a perpotual inventory system The companys beginning inventory of...

Listed below are costs for Trump Company: Direct materials used $25,000 Direct labor 35,000 Indirect labor 10,000 Advertising expense 6,000 Indirect materials 20,000 Depreciation on office equipment...