Question: Designs Unlimited plans to produce a one-component vertical file by bending the long side of an 8-in. by 14-in. sheet of plastic along two lines

Designs Unlimited plans to produce a one-component vertical file by bending the long side of an 8-in. by 14-in. sheet of plastic along two lines to form a U shape.

(a) Express the volume of the file as a function of the height x, in inches, of the file.
(b) Find the domain of the function.
(c) Graph the function with a graphing calculator.
d) How tall should the file be in order to maximize the volume that the file can hold?

14 in. 8 in.

Step by Step Solution

★★★★★

3.43 Rating (156 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a If the height of the file is x inches then the widt... 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)

864-L-A-L-S (272).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!

Adger Corporation is a service company that measures its output based on the number of customers served. The company provided the following fixed and variable cost estimates that it uses for...

Mendoza Manufacturing plans to produce a one-compartment vertical file by bending the long side of a 10-in. by 18-in. sheet of plastic along two lines to form a U-shape. How tall should the file be...

Surfer Dude swimsuit company plans to produce a new line of quick-dry swimsuits. Three textile companies are competing for the companys quick-dry fabric contract. To check the fabrics of the three...

Benson Electronics manufactures three components used to produce cell telephones and other communication devices. In a given production period, demand for the three components may exceed Bensons...

In this analysis, you will discuss the financial health of two companies (ZCL and Linamar) with the ultimate goal of recommending one of the companies to an investor. Your paper should consist of the...

Need help on this group project. In this analysis, you will discuss the financial health of two companies (ZCL and Linamar) with the ultimate goal of recommending one of the companies to an investor....

A one compartment vertical file is to be constructed by bending the long side of an 8 in. by 14 in. sheet of plastic along two 8 in. lines to form a U shape. How tall should the file be to maximize...

Question: Prepare a detailed report on what the company should do about the sourcing decision. Prepare a master plan and execution manual for building partnerships with major customers and suppliers...

Read the text in the images above and answer the following question: What is the importance of good leadership practices in a production system? Discuss the examples of good leadership found in the...

1. Compute the year-to-year percentage change in "diluted-income from continuing operations" for each of the five years. 1a. Do the earnings appear volatile? 2. Compute the ratio of long term debt to...

1 WILMINGTON UNIVERSITY LIBRARY Business Continuity Plan (BCP) and Disaster Recovery Plan (DRP) 2 WILMU LIBRARY SERVICES 20,000 student population served 13 physical locations of access to university...

The figure shows the nickel-titanium phase diagram. Consider the case where the temperature and composition are such that you have an equilibrium microstructure consisting of the solid & and...

What is the current price of a share of stock for a firm with $5 million in balance-sheet equity, 500,000 shares of stock outstanding, and a price/book value ratio of 4?

P13.1 The input to a sampler is r t ( ) = sin , ( ) t where = 1.5 . Plot the input to the sampler and the out put r t *( ) for the first 2 seconds when T = 0.25 s.

Montgomery Ceramics, a division of Watson Corporation, has an operating income of $77,000 and total assets of $440,000. The required rate of return for the company is 14%. The company is evaluating...

In many ways, nonprofit corporations are run much like other businesses. Charity organizations with larger operations would be expected to have a larger staff, although some have more overhead than...

One subunit of Atlantic Sports Manufacturing Company had the following financial results last month: Requirements 1. Complete the performance evaluation report for this subunit (round to four...

Refer to the Corbin Drycleaners in E6-48B. Assume that Corbin charges customers $7 per garment for dry cleaning. Prepare Corbin's projected income statement if 4,220 garments are cleaned in March....

The shareholders equity accounts of Gennar Inc. at January 2, 2014, are as follows: Preferred shares, no par value, cumulative, 4,000 shares issued ..... $ 200,000 Common shares, no par value,...

. This problem shows the crucial importance of back-up systems. The main power supply at a hospital has a failure time which is gamma distributed with 2 = 1/1000 hours and p = 4. A standby power...

One day before the end of the month, George had an opening balance of m dollars in an account that pays 2.25% interest com- pounded monthly. On the last day of the month, he made a deposit equal to...

Regina deposits $3,500 in a savings account that pays 7 1/2% interest compounded semiannually. a. How much interest does the account earn in the first six months? b. What is the balance at the end of...

Liam deposits $3,500 in a saving account that pays 7 1/2% interest, compounded quarterly. a. Find the first quarter's interest. b. Find the first quarter's ending balance. c. Find the second...

7. Decatur Doggie Door Companys actual sales and purchases for April and May are shown here, along with forecasted sales and purchases for June through September. Sales Purchases April (actual)...

You are interested in determining whether an experimental birth control pill has the side effects of changing blood pressure. You plan to randomly sample 18 women from the city in which you live.You...

Please show calculations to understand each problem Suppose you work for XYZ Bank. A customer who wants to buy GBP 6-months forward approached you. What is the forward rate that you would quote if...