Question: An open box with a square base is to be constructed so that it has a volume of 64 in^3. The base needs to be

An open box with a square base is to be constructed so that it has a volume of 64 in^3. The base needs to be made out of a material that costs twice as much as the sides. What are the dimensions of the box, labeled x and y in the picture below, that minimize the cost of the box?

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 Mathematics Questions!

PLEASE MAKE WRITING AND FORMAT CLEAR! Which of the following should be used to minimize the distance between y = Vx + 3 and the point (1, 2)? The function to minimize is D = \\ (1 - x)~ + (2 - v(x +...

1. The management of the UNICO department store has decided to enclose an 832ft 2 area outside the building for displaying potted plants and flowers. One side will be formed by the external wall of...

Answer(s) submitted: 10. (1 point) If 1000 square centimeters of material is avail- able to make a box with a square base and an open top, find the largest possible volume of the box. (incorrect)...

Please solve and explain all steps. Answer(s) submitted: 10. (1 point) If 1000 square centimeters of material is avail- able to make a box with a square base and an open top, find the largest...

Content X A 271-4.7 Optimization - MAT 27 X + C webassign.net/web/Student/Assignment-Responses/last?dep=31806940 M Gmail YouTube Maps s ms7264723 ~ Ho... O World Religions-C... E My Shelf | RedShelf...

Chrome File Edit View History Bookmarks Profiles Tab Window Help zoom & Q Fri Dec 2 2:01 PM AE4 X Aca X M Inb X M BAI X b Rut X 10_ X File X Abc X (31 X Sea X G CS X A PP X i C...

5). If an open box has a square base and a volume of111in. 3 and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction....

#10 A closed, rectangular box with a square base is to be constructed. 12 square inches of material is available (this is the surface area of the box). Find the dimensions of the box with the maximal...

Minimizing Packaging Costs If an open box has a square base and a volume of 98 in.3 and is constructed from a tin sheet, nd the dimensions of the box, assuming a minimum amount of material is used in...

webassignnet 1. [2.5/2.5 Points] DETAILS PREVIOUS ANSWERS TANAPCALCBR10 4.5.020. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Maximizing Yield An apple orchard has an average yield of 40 bushels of...

For each of the circuits shown in Figure 2, find the labeled node voltages (V1 to V5). The NMOS transistors have V, = 1V and k',W/L = 5 mA/V. %3D +5V +5 V +2.5 V 1 kf 1 kN 1 kN -2.5 V (a) (b) Figure 2

Mass Spectrograph A mass spectrograph is used to measure the masses of ions, or to separate ions of different masses (see Section 27.5). In one design for such an instrument, ions with mass m and...

9.8 Aquarius plc has estimated the following free cash flows for its five-year planning period: Year Free cash flows m 1 35 2 38 3 45 4 49 5 53 Required: How might it be possible to check the...

please make the answer short

1. There are two purposes in this chapter. The first is to break out of habits that have a limiting effect on ones own ability to change. Secondly, it is to understand how the cleaning affects the...

Values: What is important to me?