Optimization Suppose postal requirements are that the maximum of the length plus the girth (cross sectional perimeter) of a rectangular package that may be sent is 275 inches. Find the dimensions of...
Optimization
Suppose postal requirements are that the maximum of the length plus the girth (cross sectional perimeter) of a rectangular package that may be sent is 275 inches. Find the dimensions of the package with square ends whose volume is to be maximum.
(Leave your answers to 3 decimal places.)
Square side :
Length
- print Print
- list Cite
Expert Answers
calendarEducator since 2011
write5,349 answers
starTop subjects are Math, Science, and Business
You should come up with the following substitution for length of side of square such that:
l=x
h represents the height of the package
The problem provides the following information about postal requirements such that:
275 = h + 2(h + xsqrt2)
Notice that 2(h + xsqrt2) represents the cross sectional perimeter of the package.
Opening the brackets yields:
275 = 3h + 2sqrt2*x
(The entire section contains 226 words.)
Unlock This Answer Now
Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.
Related Questions
- What values for the dimensions of the package lead to maximum volume given a constraint on length...
- 1 Educator Answer
- the volume of a rectangular prism is 144 cubic inches. The height of the prism is 8 inches. Which...
- 2 Educator Answers
- Maximum Area: a rancher has 200 feet of fencing to enclose two adjacent rectangular corrals. what...
- 3 Educator Answers
- When the area of the square is 18 square inches how fast (in inches per minute) is the perimeter...
- 1 Educator Answer
- The area of a rectangular field is equal to 300 square meters. Its perimeter is equal to 70...
- 2 Educator Answers