Question: A box is to be made where the material for the sides and the lid cost $0.25 per square foot and the cost for the

A box is to be made where the material for the sides and the lid cost $0.25 per square foot and the cost for the bottom is $0.40 per square foot. Find the dimensions of a box with volume 2 cubic feet that has minimum cost.

Step by Step Solution

★★★★★

3.44 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The volume of the box can be expressed as Vl w h lwh 2 ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

955-M-C-D-E (3281).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

A box is to be constructed so that its height is five inches and its base is Y inches by Y inches, where Y is a random variable described by the pdf, fY (y) = 6y (1 y), 0

A steel box without a lid having volume 60 cubic feet is to be made from material that costs $4 per square foot for the bottom and $1 per square foot for the sides. Welding the sides to the bottom...

An open box with a square base is to be made from a square piece of cardboard 24 inches on a side by cutting out a square from each corner and turning up the sides. See the figure. (a) Express the...

Points: 0 of 1 Save list A box is to be made where the material for the sides and the lid cost $ 0 . 2 0 per square foot and the cost for the bottom is $ 0 . 5 0 per square foot. Find the dimensions...

is to be made where the material for the sides and the lid cost $0.20 per square foot and the cost for the bottom is $0.65 per square foot. Find the dimen ox with volume 25 cubic feet that has...

Abox is to be made where the material for the sides and the lid cost $0.20 per square foot and the cost for the bottom is $0.45 per square foot. Find the dimensions of a box with volume 10 cubic feet...

8. A rectangular box with a square base is to be made where the material for the sides and the lid costs $2 per square foot and the cost for the bottom is $6 per square foot. Find the minimum cost to...

please answer correct for thumbs up A closed box with a square base is to be constructed with a volume of 200 cubic meters. The material for the sides of the box cost $2 per square meter and the...

A Change o X VitalSource x M MyOpenMa x o Mail - Marti X Course Her X Review My | X My Audit - X 2021-2022 x Assignment X Ch4Worksh X + V X -> C @...

Zack Manufacturing Company makes a product that is processed through two departments: cutting and final. All materials are added in the first department. During the month of March 20X1, the company...

Mirion Tech, Inc., has rE of 12%, an rD of 6%, at a debt-equity ratio of 0.50. Mirion plans to raise enough preferred stock to retire half of their outstanding common stock, which currently has a...

A, B, and C are partners in the ABC partnership. A and B contributed P10,000 each while C contributed his service. After payment of the partnership liabilities to creditors, only P15,000 remains. In...

E20.2 (LO 2) (Lessee Entries, Lease with Unguaranteed Residual Value) On December 31, 2024, Burke Corporation signed a 5-year, non-cancelable lease for a machine. The terms of the lease called for...

Construct an evaluation instrument for your corporate event.

One cosmic ray hits a detector in 1 yr. The null hypothesis is that the rate at which rays hit is = 5/yr. Find the p-value with both one-tailed and a two-tailed tests.

Three cosmic rays hit a larger detector in 1 yr. The null hypothesis is that the rate at which rays hit is = 10/yr. Find the p-value with both one-tailed and a two-tailed tests.

You wait 4000 h for an exponentially distributed event to occur. The null hypothesis is that the mean wait is 1000 h with the alternative hypothesis that the mean wait is greater than 1000 h. Find...

The following information should be used for Question 36 until 39: Net Income $50,000 Provision for bad debts 2,000 Increase in inventory 1,000 Increase in account payable 2,000 Purchase new...

67 Which of the following tangible non-current assets are not usually depreciated? (1 Point) Machinery purchased through a finance lease Land Buildings with a life in excess of 30 years Vehicles

Moerdyk Company's stock has a beta of 1 . 5 , the risk - free rate ( rRFR ) is 4 % , and the market risk premium ( rM - rRFR ) is 9 % . What is the firm's required rate of return?