Question: An open-top rectangular box is being constructed to hold a volume of 200 in. The base of the box is made from a material

An open-top rectangular box is being constructed to hold a volume of 200 in. The base of the box is made from a material costing 7 cents/in. The front of the box must be decorated, and will cost 11 cents/in. The remainder of the sides will cost 3 cents/in. Find the dimensions that will minimize the cost of constructing this box. Please show your answers to at least 4 decimal places. Front width: Depth: Height: in. in. in.

Step by Step Solution

★★★★★

3.47 Rating (170 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

sole Given Base front others Let V is Vb a b represents rectangle sides b is height of box ab... 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

Students Have Also Explored These Related Mathematics Questions!

A rectangular box with no top and two intersecting partitions (see the figure) must hold a volume of 72 cubic inches. Find the dimensions that will require the least amount of material. Figure for 36

A 400-m3 storage tank is being constructed to hold LNG, liquefied natural gas, which may be assumed to be essentially pure methane. If the tank is to contain 90% liquid and 10% vapor, by volume, at...

A 400-m3 storage tank is being constructed to hold LNG, liquified natural gas, which may be assumed to be essentially pure methane. If the tank is to contain 90% liquid and 10% vapor, by volume, at...

Green Marketing Legislation The European countries are way ahead of the United States in enforcing strict green marketing legislation (reducing packaging waste, recycling, etc. (read the short...

An open-top rectangular box is being constructed to hold a volume of 200 in'. The base of the box is made from a material costing 5 cents/in . The front of the box must be decorated, and will cost 11...

An open-top rectangular box is being constructed to hold a volume of 400 in'. The base of the box is made from a material costing 6 cents/in'. The front of the box must be decorated, and will cost 11...

. Question 4 0/2 pts An open-top rectangular box is being constructed to hold a volume of 350 in'. The base of the box is made from a material costing 8 cents/in. The front of the box must be...

An open-top rectangular box is being constructed to hold a volume of 250 in'. The base of the box is made from a material costing 7 cents/in'. The front of the box must be decorated, and will cost 10...

what excel formula should i use for the following problem??Jewel plans to go for vacation to France in 6 years from now. She estimates that she will need $18,651 for the trip. How much does she need...

The following information is available for Clancy Company: Beginning inventory 600 units at $4; First purchase 900 units at $6.50; Second purchase 500 units at $7. Assume that Clancy uses a periodic...

A partial adjusted trial balance of Frangesch Company at January 31, 2017, shows the following. Instructions Answer the following questions, assuming the year begins January 1. a) If the amount in...

Indicate which hydrogens are replaced by deuterium when each of the following compounds is treated with dilute NaOD in a large excess of CH3OD. (CH) CH-C

Subtract. x x 2 - x - 3 0 - x x 2 - 1 0 x + 2 4 x x 2 - x - 3 0 - x x 2 - 1 0 x + 2 4 = , ( S i m p l i f y your answer. )

Pharma Drug Store is a pharmacy in Portland, Maine, owned by Jane Smith, a local pharmacist. Pharma business has been good, but Ms. Smith finds that she frequently runs out of cash. To date, she has...

There is a firm, which we have identified to buy. It has $100 million, $30 and $70 m assets, equity and debt respectively. It also has $40 m of cash. We want to buy a majority interest in the firm by...

A tank in the shape of a rectangular prism has a base that is 20 cm wide and 30 cm long. The tank is partly filled with water. When a rock is put in the tank and sinks to the bottom. the water level...

1 point What was the secret code word in the Infographic Planning Document? Margaret Floy Washburn Mary Whiton Calkins Mamie Phipps Clark Inez Beverly Prosser Christine Ladd-Franklin 4 1 point What...

When collecting debts, a debtor company rounds 60,000 debt contracts to the nearest ten dollars. a) Stating any assumptions made, compute the probability that the total debt value collected will be...

find fso that div f=F= and use this to evaluate

An environmental study of a certain community suggests that t years from now, the average level of carbon monoxide in the air will be Q(t) = 0.05t 2 + 0.1t + 3.4 parts per million. By approximately...

A box has the shape of the solid bounded above by the plane 3x + 4y + 2z = 12 below by the xy plane, and on the sides by the planes x = 0 and y = 0, where x, y, and z are in inches. Find the volume...

In Exercises 1 through 4, sketch the graph of the given exponential or logarithmic function without using calculus. f(x) = ln x 2

Require you to manipulate a formula from the inside-back cover to isolate a different variable on the left-hand side. Rearrange the formula FV = PV (1 + i) n to isolate PV on the left side.

Simplify the following and collect the like terms 4(a2 -3a-4)-2(5a2 -a-6)

First substitute the given values into the formula obtained from the inside- back cover. Then manipulate the resulting equation to solve for the unknown variable. Obtain dollar amounts accurate to...