Part (e) of Exercise 14 requires the use of a graphing calculator or computer. 14. An open-top box is to be made so that its width is 4 ft and its volume is 40 ft°. The base of the box costs $4/ft and the sides cost $2/ft. a. Express the cost of the box as a function of its length I and height h. b. Find a relationship between I and h. c. Express the cost as a function of h only.

Part (e) of Exercise 14 requires the use of a graphing calculator or computer. 14. An open-top box is to be made so that its width is 4 ft and its volume is 40 ft°. The base of the box costs $4/ft and the sides cost $2/ft. a. Express the cost of the box as a function of its length I and height h. b. Find a relationship between I and h. c. Express the cost as a function of h only.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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Part (e) of Exercise 14 requires the use of a
graphing calculator or computer.
14. An open-top box is to be made so that its width
is 4 ft and its volume is 40 ft°. The base of the
box costs $4/ft and the sides cost $2/ft.
a. Express the cost of the box as a function of its
length I and height h.
b. Find a relationship between I and h.
c. Express the cost as a function of h only.
d. Give the domain of the cost function.
e. Use a graphing calculator or computer to ap-
proximate the dimensions of the box having
least cost.

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