Pls help ASAP. Pls show all work. 15. A cylindrical chemical storage tank with a capacity of 950m³ is going to be constructed in awarehouse that is 11m by 14m with a height of 10m. The specifications call for the case to bemade of sheet metal that costs $90/m², the top to be made from sheet metal that costs $45/m² andthe wall to be made of sheet metal that costs $80/m². If you want to minimize the cost to makethe storage house, how much would you end up spending to build the tank?

Given: The volume of tank=950 m3, The dimensions of warehouse =11m ×14m × 10m and the specifications…

Answered: 15. A cylindrical chemical storage tank…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids

Section: Chapter Questions

Problem 79A

See similar textbooks

Similar questions

If the cost of each Robust tablet increases to 75 c and the cost of each Vigortab increases to 80 c , find the minimum cost.
An oil refinery is located 1 km north of the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the refinery to storage tanks located on the south bank of the river 6 km east of the refinery. The cost of laying pipe is $400,000/km over land to a point P on the north bank and $800,000/km under the river to the tanks. To minimize the cost of the pipeline, how far downriver from the refinery should the point P be located? (Round your answer to two decimal places.)
An oil refinery is located 1 km north of the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the refinery to storage tanks located on the south bank of the river 5 km east of the refinery. The cost of laying pipe is $400,000/km over land to a point P on the north bank and $800,000/km under the river to the tanks. To minimize the cost of the pipeline, how far downriver from the refinery should the point P be located? (Round your answer to two decimal places.) km
You are to construct an open rectangular box with a square base and a volume of 48 ft3. If material for the bottom costs $6/ft2 and material for the sides costs $4/ft2, what dimensions will result in the least expensive box? What is the minimum cost?
An oil refinery is located on the north bank of a straight river that is 1 km wide . A pipeline is to be constructed from the refinery to storage tanks located on the south of the river 6 km east of the refinery . The cost of laying pipe is 500, 000 per km over the land to point P on the north bank and 1,000,000 per km under the river to the tanks . To minimize the cost of the pipeline , how far from the refinery should P be located ?
A company needs to manufacture cylindrical cans out of tin, each of which must have both a bottom and a top and a volume of 382cm^3. 1. How should the company design the cans (i.e. what are the dimensions of the cans) if they want to minimize the cost of constructing them? 2. According to Google, most soup cans have a volume of 382cm3 with dimensions r = 3.25cm and h = 11.51cm. Does this agree with your answer to (a)? If not, give at least one reason why your answer to (a) may not be the best in the “real world”.
Consider a simple, homogeneous monocentric city with a circular shape. If the location rent premium at the center is $5,000 per year per acre, the rent at the edge of the city is $10,000 per year per acre, and the density is 2 persons per acre. Supposing that the annual transportation cost per person per mile of distance from the CBD is $200 (round-trip), and if the population increases by 10% (density and transportation cost do not change), what will be the new rent at the center of the city per year per acre? Please show how to calculate.
A farmer wants to start raising cows, horses, goats, and sheep and desires to have a rectangular pasture for the animals to graze in. However, no two different kinds of animals can graze together. In order to minimize the amount of fencing she will need, she has decided to enclose a large rectangular area and then divide it into four equally sized pens by adding three segments of fence inside the large rectangle that are parallel to two existing sides (see attached image). She has decided to purchase 7500 ft of fencing. What is the maximum possible area that each of the four pens will enclose? Make sure to include units in your answer.
They'll offer a variety of chips from that factory, and they'll have to figure out how much capacity to devote to each one. Consider the possibility that they will sell two chips. Phoenix is a brand-new architecture created just for 7 nm technology, whereas RedDragon is the same architecture as their 10 nm BlueDragon. Consider a profit of $15 per defect-free chip forRedDragon. Phoenix will benefit $30 for each defect-free chip. The diameter of each wafer is 450mm. a. How much profit do you make on each wafer of Phoenix chips?
A power line is to be constructed from a power station at point A to an island at point C, which is 3 mi directly out in the water from point B on the shore. Point B is 4 mi downshore from the power station at A. It costs $3300 per mile to lay the power line under water and $2000 per mile to lay at the line under grount. At what point S downshore from A should the line come to the shore in order to minimize cost? Note that S could very well be B or A. (Hint. The lenght of CS is square root of 9+x^2). S is _____ miles from A.
A can in the shape of a cylinder has a volume of 20π cubic meters. The material of the top and bottom costs $10 per square meter and material for the side costs $8 per square meter. What are the dimensions of the can if we are to minimize the cost of the can?
Domian? Maxiumum volume? Optimal Dimensions?

SEE MORE QUESTIONS

Recommended textbooks for you

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS