Question: You want to build a rectangular box with a square base with volume 400 cubic feet. The sides cost $5 per square foot and the

You want to build a rectangular box with a square base with volume 400 cubic feet. The sides cost $5 per square foot and the base costs $32 per square foot. There is no top. What dimensions minimize the cost of the box? (Give your answer as an ordered pair (x,y), where x is the length and width and y is the height.)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Accounting Questions!

4. You want to build a rectangular box with a square base with volume 400 cubic feet. The sides cost $5 per square foot and the base costs $32 per square foot. check There is no top. What dimensions...

5. You want to build a rectangular box with a square base with volume 1000 cubic feet. The sides cost $9 per square foot, the top costs $10 per square foot, and the che base costs $8 per square foot....

5. You want to build a rectangular box with a square base with volume 729 cubic feet. The sides cost $7 per square foot, the top costs $10 per square foot, and the check base costs $4 per square...

You want to build a rectangular box with a square base with volume 1000 cubic feet. The sides cost $ 4 per square foot, the top costs $ 5 per square foot, and the base costs $ 3 per square foot. What...

This question from the final exam They don't give information. (6] (20 pts) A car is traveling at 50 mph due south at a point 1/2 mile north of an intersection. Another car is traveling at 40 mph due...

Answer and explanation 8: A carpenter has been asked to build an open box with a square base. The sides of the box will cost $3 per square foot, and the base will cost $4 per square foot. What are...

please help A rectangular garden of area 320 square feet is to be surrounded on three sides by a brick wall costing $10 per foot and on one side by a fence costing $6 per foot. Find the dimensions of...

Suppose you have 1720 meters of fencing available with which to build three adjacent rectangular corrals as shown in the figure. Find the dimensions so that the total enclosed area is as large as...

I just need my solution to be put into a proper formal business letter. All you need to do is to make it look more professional. Volume (V) = 225,000 cubic feet Foundation Cost = $ 30 per SF Sides...

Optimization: Problem 3 Previous Problem Problem List Next Problem (1 point) A box is contructed out of two different types of metal. The metal for the top and bottom, which are both square, costs $2...

What are the disadvantages of using onscreen windows?

Loan officer Han Blackford once commented that cash flow analysis has risen in importance due to a trend over the past 20 years toward capitalizing costs and deferring more and more expenses....

Loan securitization allows an FI to remove which of the following types of risk from its balance sheet ( choose three ) : interest rate risk liquidity risk currency risk credit risk sovereign risk

Comparative balance sheets for 2021 and 2020, a statement of income for 2021, and additional information from the accounting records of Red, Inc., are provided below. 5 353 RED, INC. Comparative...