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3. A 28-inch-wide sheet of metal is to be bent into a rectangular trough with the cross section. Depth 8 in, Width a = 28 Find the dimensions that will maximize the amount of water the trough can hold. That is, find the dimension that will maximize the cross-sectional area. a. d 7 in., w 21 in. b. d 7 in., w 14 in. c. d=7 in., w 7 in. d. d=5.6 in., 2 11.2 in. d= 14 in., w 14 in. e.

3. A 28-inch-wide sheet of metal is to be bent into a rectangular trough with the cross section. Depth 8 in, Width a = 28 Find the dimensions that will maximize the amount of water the trough can hold. That is, find the dimension that will maximize the cross-sectional area. a. d 7 in., w 21 in. b. d 7 in., w 14 in. c. d=7 in., w 7 in. d. d=5.6 in., 2 11.2 in. d= 14 in., w 14 in. e.

Advanced Engineering Mathematics
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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3. A 28-inch-wide sheet of metal is to be bent into a rectangular trough with the cross section. Depth Width a = 28 Find the dimensions that will maximize the amount of water the trough can hold. That is, find the dimension: that will maximize the cross-sectional area. a. d 7 in., w 21 in. b. d=7 in., w 14 in. c. d37 in., w 7 in. d. d=5.6 in., 2 11.2 in. e. d314 in., w 14 in. 4. A 270-room hotel is two-thirds filled when the nightly room rate is $100. Experience has shown that each $1 increase in cost results in 20 fewer occupied rooms. Find the nightly rate that will maximize income. a. $45.00 b. $285.00
Transcribed Image Text:3. A 28-inch-wide sheet of metal is to be bent into a rectangular trough with the cross section. Depth Width a = 28 Find the dimensions that will maximize the amount of water the trough can hold. That is, find the dimension: that will maximize the cross-sectional area. a. d 7 in., w 21 in. b. d=7 in., w 14 in. c. d37 in., w 7 in. d. d=5.6 in., 2 11.2 in. e. d314 in., w 14 in. 4. A 270-room hotel is two-thirds filled when the nightly room rate is $100. Experience has shown that each $1 increase in cost results in 20 fewer occupied rooms. Find the nightly rate that will maximize income. a. $45.00 b. $285.00
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