Question: A rectangular package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 108

A rectangular package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 108 inches (see figure). Find the dimensions of the package of maximum volume that can be sent. (Assume the cross section is square.)

A rectangular package to be sent by a postal service can have

Step by Step Solution

★★★★★

3.59 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Let x be the sides of the square ends and y the le... 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 Calculus 10th Edition Questions!

A rectangular package to be sent by a delivery service (see figure) has a combined length and girth (perimeter of a cross section) of 120 inches. a) Use the diagram to write the volume V of the...

Find the dimensions of the rectangular box of volume V0 for which the sum of the edge lengths is least.

A rectangular package has a combined length and girth (perimeter of a cross section) of 108 inches (see figure). (a) Write the volume V of the package as a function of x. What is the domain of the...

8. [-/2 Points] DETAILS LARCALCET7 4.7.030. MY NOTES ASK YOUR TEACHER A cylindrical package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section)...

A rectangle is bounded by the x- and y-axes and the graph of y = (6 X)/2 (see figure). What length (X) and width (y) should the rectangle have so that its area is a maximum? A rectangular package to...

1. [0/2 Points] DETAILS PREVIOUS ANSWERS LARCALC11M 2.6.013. MY The radius r of a sphere is increasing at a rate of 3 centimeters per minute. (a) Find the rate of change of the volume when / = 9...

3. [012 Polnts] DETAILS PREVIOUS ANSWERS LARCALC11M 2.6.020. MY NOTES ASK YOUR TEACHER l PRACTIC A trough is 12 meters long and 3 meters across the top (see gure). Its ends are isosceles triangles...

A rectangular package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 102 inches (see figure). Find the dimensions of the package of...

A rectangular package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 66 inches (see figure). Find the dimensions of the package of...

6. [-/2 Points] DETAILS LARCALC11M 3.9.013. MY NOT Use the information to find and compare Ay and dy. (Round your answers to three decimal places.) y = 0.9x x = 1 Ax = dx = 0.1 Ay = dy = Need Help?...

Classify each of the following cost items as mostly fixed or variable: Raw materials ...............................Administrative salaries Direct labor ..................................Payroll...

Do all glaciers create grooved, striated, and/or polished bedrock surfaces as in Fig. 10.3?

in general, when should costs be expensed and when should they be capitalized as assets

Prepare journal entries to record these transactions: Mar. 21 Accepted a $6,200, six-month, 4% note dated today from Bradley Brooks in granting a time extension on his past-due account. Sept. 21...

Find the curve that passes through the point (3, 2) and has the property that if the tangent line is drawn at any point P on the curve, then the part of the tangent line that lies in the first...

Find all curves with the property that if the normal line is drawn at any point P on the curve, then the part of the normal line between and P the x-axis is bisected by the y-axis.

1. You've observed the following returns on SkyNet Data Corporation's stock over the past five years: 21 percent, 17 percent, 26 percent, 27 percent, and 4 percent. a. What was the arithmetic average...

Nguyen Electronics issues an $500,000, 8%, 10-year mortgage note on December 31, 2012, to help finance a plant expansion program. The terms provide for semiannual installment payments, not including...

A project proposal has the following estimated cash flows: Year 0 Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Initial outlay $ 800,000 Sales $ 440,000 $ 490,000 $ 540,000 $ 590,000 $ 425,000 $ 350,000...