Question

A zookeeper is designing a rectangular pen for a lion. The area contained in this pen must be exactly 40 square meters. One wall of this pen must be made of sturdy glass, and sturdy glass walls cost 300 dollars per meter. The other three walls must be made of brick, and brick walls cost 250 dollars per meter. (a) How many meters should the glass wall be to minimize the total cost of the walls of the pen? (b) What is the minimal cost?

Answer #1

A rancher plans to construct a rectangular pen for a cow with an
area of 20 square feet.
Three sides of the pen will be constructed from fencing that costs
$20 per foot of length and the
remaining side will be a stone wall that costs $52 per foot of
length. Find the minimum cost to build
this pen.

A contractor is to build a warehouse whose rectangular floor
will have an area of
20002000
square feet. The warehouse will be separated into two
rectangular rooms by an interior wall. The cost of the exterior
walls is
$200200
per linear foot and the cost of the interior wall is
$175175
per linear foot. Express the contractor's cost for building
the walls, C, as a function of one of the dimensions of the
warehouse's rectangular floor, x.
c(x)=

A fence must be built in a large field to enclose a rectangular
area of 18,225 square meters. On one side of the enclosure is an
existing fence. For the other three sides, material for the ends
will cost $2.00 per meter and the material for the side parallel to
the existing fence will cost $4.00 per meter. Show work.
a. What are the dimensions of the field fence the lowest
cost?
b. What will the fence cost?

A fence is to be built to enclose cows in a rectangular area of
200 square feet. The fence along three sides is to be made of
material that costs $5 per foot, and the material for the fourth
side costs $16 dollars per foot. Find the dimensions of the
enclosure that minimize cost, and give the minimum cost to build
the fence

a farmer wants to partition a rectangular field into quarters.
the total area of the field is 400 square meters. suppose the
length of the field is L meters. (a) express the width of the field
in terms of L. (b) The outer boundary fence (on the perimeter of
the field) costs $5 per meter, and the inside fence costs $4 per
meter. Express the total cost of the fence needed in terms of
L.

A company is designing an aquarium in the shape of a vertical
cylinder for a client. It will have a round base made of slate, the
curved sides are made of plexiglass, and the round top is glass.
The tank must hold 24 cubic feet (about 180 gallons) of water.
Plexiglass costs $8 per square foot, slate costs $6 per square
foot, and glass costs $4 per square foot. Find the dimensions
(rounded to 2 decimal places) the company should...

Problem 1)
A) The Central Park Zoo needs to build a rectangular area of 225
sq. feet to hold a zebra, a lion, a hippo, and a giraffe. The
outside fencing costs $5 per foot. There must also be stone walls
dividing the area into four distinct pens, which cost $15 per foot.
Calculate the dimensions necessary to minimize the cost of building
this area.
B) Kyoshi Island is 2 miles due east of its closest point on
Whale Tail...

Please show me how to apply CVP analysis for this case
study.
FLY ASH BRICK PROJECT: FEASIBILITY STUDY USING CVP ANALYSIS
S. K. Mitra and Shubhra Hajela wrote this case solely to provide
material for class discussion. The authors do not intend to
illustrate either effective or ineffective handling of a managerial
situation. The authors may have disguised certain names and other
identifying information to protect confidentiality.
This publication may not be transmitted, photocopied, digitized
or otherwise reproduced in any...

MATHEMATICS
1. The measure of location which is the most likely to
be
influenced by extreme values in the data set is the a. range
b.
median c. mode d. mean
2. If two events are independent, then a. they must be
mutually
exclusive b. the sum of their probabilities must be equal to one
c.
their intersection must be zero d. None of these alternatives
is
correct. any value between 0 to 1
3. Two events, A and B,...

Please summarize the below article in approximately 100
words:
Monumental function in British Neolithic burial practices
Ian Kinnes
The high-risk rate of survival for the non-megalithic series of
Neolithic funerary monuments, recently re-emphasized by Piggott
(1973: 34), introduces a further variable into the deductive study
of burial practices. In Britain and Europe the overall distribution
of monumental forms present both lacunae and a marked preponderance
of cairns over earthen mounds which are in ill accord with the
known or predicted...

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