A closed box with a square base is to be built and the volume fixed at 30 m3. Determine the minimum cost of the box if the front and top shall cost P 1.50 per square meter and the bottom and the three sides shall cost P 2.00 per square meter. * O P 142.15 O P 187.65 O P 106.14 O P 175.22

A closed box with a square base is to be built and the volume fixed at 30 m3. Determine the minimum cost of the box if the front and top shall cost P 1.50 per square meter and the bottom and the three sides shall cost P 2.00 per square meter. * O P 142.15 O P 187.65 O P 106.14 O P 175.22

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 22PS: In a classroom designed for 30 students, the air conditioning system can move 450 cubic feet of air...

See similar textbooks

Related questions

Q: Two equal rectangular lots are enclosed by fencing the perimeter of a rectangular lot and then…

Q: A container with square base, vertical sides, and open top is to be made from 1000 ft2 of material.…

A: Let the container has a base side "x" and height "y"

Q: A book is to contain 36 in2 of printed matter per page, with margins of 1in along the sides and…

A: To find: The dimensions of the page that will require the minimum amount of paper. Given…

Q: Find the minimum cost of a rectangular box of volume 170 cm3 whose top and bottom cost 5 cents per…

Q: Determine the volume (in cm3) of a right prism whose altitude is 4 cm and whose base is a right…

A: The volume of right prism whose base is right angle triangle= Area of base traingle × Altitude of…

Q: 7. A manufacture want to design an open box having a square base and a volume of 256 cm³. What…

A: Given problem is :

Q: Calculate the volume of water (in m3) on a field, when given: a length =150 m, the width =56 m and…

A: NOTE: Refresh your page if you can't see any equations. . here we have L=150 m W=56 m and the…

Q: 4) Sandy has recently begun kickboxing and purchased training equipment as modeled in the diagram…

A: To find the total weight of the training equipment

Q: A rectangular box with no top is to have a square base and a volume of 20 ft. If the material for…

Q: A tank with rectangular base and sides and open at the top, is to be constructed so that its depth…

Q: 6. Find the minimum surface area of a box that holds 2 cubic meters.

Q: 7. Determine the dimensions of a rectangular box, open at the top, having a volume of 32 ft³, and…

Q: 5. FIND THE MAXIMUM AREA FOR A RECTANGULAR ENCLOSURE USING 480 FEET OF FENCING MATERIAL AND…

A: I am attaching image so that you understand each and every step.

Q: 11) A cone with radius 6cm and height 12cm is filled to capacity with liquid. Find the minimum…

A: To hold the same amount of liquid, the cylinder and cone should have same volume. Here the radius…

Q: An igloo or Eskimo hut is built in the form of a hemispherical shell with an inside diameter of 12…

A: Solution - Inside Diameter (d) = 12 ft, Inner Radius (r) = 6 ft Thickness of the Igloo = 2 ft…

Q: late the volume of a water cylinder with a total height of 10 meters and whose diameter is 400…

A: Given: Height of the water cylinder h = 10 m Diameter of the cylinder d= 400 cm =4 m radius of…

Q: An open box is to be made by cutting a square from each corner of a 12-in. by 12-in. pieceof metal…

A: Volume: Let the side length of the square be x cm that is cut from each corner of a 12 in by 12 in…

Q: A cosmetics company is determining the price of the package they will use for their new line of eye…

A: The given question can be solved as shown in step2

Q: A container with square base, vertical sides, and open top, is to be made from 3,000 ft² material.…

Q: Determine the dimensions of a rectangular box, open at the top, having volume V, and requiring the…

A: Let Length=xWidth=yHeight=z Then volume of the box is v=xyzz=vxy…

Q: 3. A rectangular yard with an existing stonewall on one side is to be fenced off. If the area of the…

Q: A contractor has to build rectangular pool 12 meters long and 8 meters wide. The pool must, by…

Q: $0.10/cm^2 to reinforce the can's shape, two metal wires of equal length will each be bent into a…

Q: 7. The diameter of a standard basketball is 9.5 inches. If the basketballs are covered in rubber,…

Q: 4. An igloo or Eskimo hut is built in the form of a hemispherical shell with an inside diameter of…

A: Given that, the inside diameter is 12 ft, so the inner radius r=6 ft and the thickness of the Igloo…

Q: olume 150 cm3 whose top and bottom cost 7 cents per cm2 and whose sides cost 9 cents per cm2. Round…

A: answer is in next step. please give a like !!

Q: A closed rectangular tank with a square base and with capacity of 48 cu.m. is to be constructed. The…

Q: 7. Determine the dimensions of a rectangular box, open at the top, having a volume of 32 ft³, and…

A: Given :Volume = 32 ft3

Q: 7. Determine the dimensions of a rectangular box, open at the top, havin volume of 32 ft3, and…

A: Given that the volume of the rectangular box is 32 ft3.

Q: 2. Carl builds a rectangular pig pen with two parallel partitions using 150 meters fencing…

A: We can solve the given problem by using the second derivative test.

Q: A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by…

A: i) Given that, the length of the pool is 12 meters and 8 meters wide, the are of the pool should be…

Q: A box with a square base and open top must have a volume of 13,500 cm3. Find the dimensions of the…

A: Topic = Volume

Q: Find the minimum cost of a rectangular box of volume 200 cm³ whose to

Q: 3. A closed right circular cylindrical tank is to have a capacity of 1287 m. Find the dimensions of…

Q: A cylindrical tin can is to be manufactured that will hold a certain volume V. If materials for the…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the minimum cost of a rectangular box of volume 100 cm³ whose top and bottom cost 6 cents per…

Q: . A box with a square base and open top must have a volumeof 32,000 cm cu . . Find the dimensions…

A: To Determine: Find the dimensions of the box that minimize the amount of material used Given: A box…

Q: A closed box with a square base is to be built and the volume fixed at 30 m3. Determine the minimum…

A: To find: The minimum cost of the box. Given: The cost of front and top is P1.5 and the bottom and…

Q: The volume of the closed cylindrical tank is 11.3 m³. If the total surface area is a minimum, what…

A: In this question, concept of volume and surface area of cylinder is used. Volume and Surface area of…

Q: A closed box with a square base is to be built and the volume fixed at 30 m3. Determine the minimum…

Q: Give the dimensions of a rectangular aquarium 30 cm high that holds 42 liters of water. ..... Choose…

Q: Find the minimum cost of a rectangular box of volume 190 cmwhose top and bottom cost S cents per cm…

Q: A rectangular storage container with an opentop is to have a volume of 10 m. The length of its base…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: An inverted square pyramid has a height equal to 8 m and a top edge equal to 3 m. Initially, it…

Q: 2. A closed cylindrical tank is to be made with a fixed volume. Find the relative dimensions of the…

Q: A rectangular box without a lid is made with a material cost of $10.00. If the material for the…

A: Using AM GM INEQUALITY

Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

A closed box with a square base is to be built and the volume fixed at 30
m3. Determine the minimum cost of the box if the front and top shall cost
P 1.50 per square meter and the bottom and the three sides shall cost P
2.00 per square meter. *
P 142.15
P 187.65
P 106.14
O P 175.22

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Differential Equation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

In a classroom designed for 30 students, the air conditioning system can move 450 cubic feet of air per minute. (a) Determine the ventilation rate per child in a full classroom. (b) Estimate the air space required per child. (c) Determine the minimum number of square feet of floor space required for the room when the ceiling height is 30 feet.
The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch for the lateral surface and 2 cents per square inch for the bases. What is the total cost of constructing the box?
A seamless brass tube and brass flange assembly is shown. The tube is pressed fit into the full 1.250-inch plate thickness. The brass used weighs 0.305 pound per cubic inch. Find the total weight of the assembly. Round the answer to the nearest tenth pound.
A piece in the shape of a pyramid with a regular octagon (eight sided) base is machined from a solid block of bronze. Each side of the octagon base is 9.36 inches long. The height of the piece is 7.08 inches. The octagon base area 4.829, where s is the length of a side of the octagon. a. Determine the volume of the piece. Round the answer to the nearest cubic inch. b. Determine the weight of the piece. Round the answer to the nearest pound. Note: One cubic foot of the bronze used weighs 547.9 pounds per cubic foot.
The container is in the shape of a frustum of a right circular cone. The smaller base area is 426 square centimeters and the larger base area is 876 square centimeters. The height is 29.5 centimeters. Compute the capacity of the container in liters. One liter contains 1000 cubic centimeters. Round the answers to the nearest tenth liter.