Fruit juice will be packaged in cylindrical cans with a volume of 40 in each. The top and bottonm of the can cost 4e per in. while the sides cost 3e per in. Find the radius and height of the can of minimum cost. M.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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I need problem number 48

prom.
(b) Find the maximumm profit.
46.
The packaging department of a corpo-
ration is designing a box with a square base and no top. The
Volume is to be 32 m To reduce cost, the box is to have mini-
mum surface area. What dimensions theight. length, and width)
should the bOx have?
47.
A company plans to package its product
in a cylinder that is open at one end. The cylinder is to have a
volume of 277 in. What radius should the circular bottom of
the cylinder have to minimize the cost of the material?
48.
Fruit juice will be packaged in cy lindrical
cans with a volume of 40 in`each. The top and bottom of the
can cost 4e per in-. while the sides cost 3e per in-. Find the
radius and height of the can of minimum cost.
LAurge camera store sells 20.000 batterier
annually. It costs to store l battery for 1 year and $12 to
49.
Transcribed Image Text:prom. (b) Find the maximumm profit. 46. The packaging department of a corpo- ration is designing a box with a square base and no top. The Volume is to be 32 m To reduce cost, the box is to have mini- mum surface area. What dimensions theight. length, and width) should the bOx have? 47. A company plans to package its product in a cylinder that is open at one end. The cylinder is to have a volume of 277 in. What radius should the circular bottom of the cylinder have to minimize the cost of the material? 48. Fruit juice will be packaged in cy lindrical cans with a volume of 40 in`each. The top and bottom of the can cost 4e per in-. while the sides cost 3e per in-. Find the radius and height of the can of minimum cost. LAurge camera store sells 20.000 batterier annually. It costs to store l battery for 1 year and $12 to 49.
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