A rectangular storage container without a lid is to have a volume of 10 m3. The length of its base is twice the width. Material for the base costs $15 per square meter. Material for the sides costs $9 per square meter. Find the cost (indollars) of materials for the least expensive such container. (Round your answer to the nearest cent.)$Enhanced FeedbackPlease try again, keeping in mind that the volume of an open box with height h and a rectangular base whose length is twice its width w is V = 2w-h, and the cost function of its surface is C = c,(2w2) + c,[2(wh) + 2(2wh)], where c, isthe cost for the base and c, is the cost for the sides. Find a relationship between w and h, using the fact that the volume is a constant. Rewrite the cost function as a function of one variable. Use calculus to find the minimum possiblecost.Need Help?Read ItSubmit Answer

Given, Volume = v = 10 m3 Let's assume the length of base = l = 2w (because length is twice…

A rectangular storage container without a lid is to have a volume of 10 m3. The length of its base is twice the width. Material for the base costs $15 per square meter. Material for the sides costs $9 per square meter. Find the cost (in dollars) of materials for the least expensive such container. (Round your answer to the nearest cent.)

A rectangular storage container without a lid is to have a volume of 10 m3. The length of its base is twice the width. Material for the base costs $15 per square meter. Material for the sides costs $9 per square meter. Find the cost (in dollars) of materials for the least expensive such container. (Round your answer to the nearest cent.)

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...

See similar textbooks

Related questions

Q: Pigs are sold at an auction for $0.20 per ounce. how much would a pig sell for that weights 520 lb

Q: Granola costs $4.50 per pound. Assorted nuts cost $7 per pound. How many pounds of granola and nuts…

A: We have to find the granola and nuts needed to make trail mix.

Q: The shape of a barbecue pit is like a parallelogram with height of 30 in. and a base of 16 in.…

A: I am going to solve the problem by using some simple geometry to get the required result of the…

Q: what would 60 inches of material cost at $0.72 per yards

A: what would 60 inches of material cost at $0.72 per yards.

Q: A metal storage drum in the shape of a cylinder has a radius of 11.5 inches and a height of 23…

A: To find the surface area of the cylindrical storage drum,We can use the formula for the total…

Q: For the senior picnic, Mr. Eldeb is using two cylinders to help keep the food cool. The inside…

Q: Patrick wants to hang up a poster that is 1 3/4 feet wide and 2 5/8 feet long. How much wall space…

Q: One bag of Deluxe Weed and Feed covers 1000 square yards and costs $21.89. Find the cost of treating…

A: Refer to the question we need to find out the cost of treating rectangular lawn which measure 40…

Q: A 16- ounce package of cereal costs $4.00. What is the unit cost?

A: 16 -ounce of cereal costs $ 4.00 1 -ounce of cereal costs $4 /16 =$0.25

Q: A farmer wants to fence a rectangular lot. Additional fencing is needed to sub-divide the area into…

A: A farmer wants to fence a rectangular lot.Additional fencing is needed to subdivide the area into…

Q: A 10-gal aquarium is 6 in. higher than it is wide. Its length is 20 in., and its volume is 4940…

A: Given

Q: . Samantha participated in a marathon. He ran 3km in 3 hrs. what would be the ratio of the distance…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Anna wants to make an open wooden bin with a square bottom, rectangular sides, and a height of 3 m.…

A: Let the length of the square bottom is a m. So the area of the bottom is a2 s.m. Now the cost for…

Q: C.R. - 7. If the perimeter of a square hall is approx 10 yard and height of roof is 10 foot.…

A: It is given that hall is square. Perimeter of hall is, = 10 yard height of the roof of hall is,=10…

Q: You buy tomato sauce for $0.37 per ounce. One portion of potato gnocchi requires 5 ounces of tomato…

A: Cost of 1 ounce of tomato = $0.37 Cost of 5 ounces of tomato = $0.37×5=$1.85

Q: A rectangular dog pen measures 30 feet long by 45 feet wide. If fencing costs $5.67 per foot, how…

A: To Determine: A rectangular dog pen measures 30 feet long by 45 feet wide. If fencing costs $5.67…

Q: a 21 oz box of cereal costs 3.69 find the cost per ounce

A: Given that 21 oz box of cereal costs 3.69 Therefore, Cost of 21 oz. = 3.69 Cost of 1 oz. = 3.69/21 =…

Q: A rectangular storage container with an open top is to have a volume of 24 cubic meters. The length…

Q: You are installing a wood fence. The fence is 120 feet long. East wood slat to be installed…

Q: If 4.5 pounds of cherries cost $10, what is the unit price?

Q: Gas costs $1.15 per liter. A can of gas holds 5.5 litres. How much would 45.75 cans of gas would…

Q: A 25 pound box of frozen peas and onions costs $1.25 per pound. How much does a 6 ounce serving…

A: Given that A 25 pound box of frozen peas and onions costs $1.25 per pound. We have tio find…

Q: A rectangular price tag has a perimeter of 20 centimeters and an area of 21 centimeters. What are…

A: Given: A rectangular price tag has a perimeter of 20 centimeters and an area of 21 centimeters.

Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

A rectangular storage container without a lid is to have a volume of 10 m3. The length of its base is twice the width. Material for the base costs $15 per square meter. Material for the sides costs $9 per square meter. Find the cost (in
dollars) of materials for the least expensive such container. (Round your answer to the nearest cent.)
$
Enhanced Feedback
Please try again, keeping in mind that the volume of an open box with height h and a rectangular base whose length is twice its width w is V = 2w-h, and the cost function of its surface is C = c,(2w2) + c,[2(wh) + 2(2wh)], where c, is
the cost for the base and c, is the cost for the sides. Find a relationship between w and h, using the fact that the volume is a constant. Rewrite the cost function as a function of one variable. Use calculus to find the minimum possible
cost.
Need Help?
Read It
Submit Answer

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Linear Equations$

Learn more about

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

Similar questions

The plans for a concrete patio call for a 14 ft by 12 ft slab of concrete 4 inches thick, which has a total volume of 2.07 cubic yards. The contractor estimates the amount needed at 3 cubic yards. If concrete costs $119.42 per cubic yard, find the cost of wasted concrete. Round to the nearest cent. The cost of the wasted concrete would be $ rounded to the nearest cent. X
The weight of a spool of wire is 29.11 pounds. The spool weighs 3.2 pounds. Find the cost of the wire per pound if the cost of the spool of wire is $74.44. Express the answer to the nearer tenth of a cent.
please very soon urgent sir
You buy butter for $3 a pound.One portion of onion compote requires 2.7 oz of butter.How much does the butter for one portion cost? Round to the nearest cent.
A property worth $10480 is shared between a widow and her children in the ratio 1: 4 respectively. Find a. The widow's share b. Each children's share if the rest of the profit was shared among her 10 children