Question

In: Math

The World Cereal Organization (WCO) has asked you to redesign cereal boxes to more efficiently use...

The World Cereal Organization (WCO) has asked you to redesign cereal boxes to more efficiently use paper. Assume the box must be rectangular with a square base, and that the top and the base are exactly the same. There are a total of 6 sides on the box. Use calculus to find the dimensions of the box that minimizes surface area (paper) while still holding 80 in3 of cereal. Your decision will dictate what the WCO implements, so you must justify your answer.

Solutions

Expert Solution

The length and breadth of the rectangular box with square base be x and its height be y. Then, the volume be given by, V=x​​​​​​2​​​ y=80, we get y= 80/x​​​​​​2 such that the total surface area is given by, S=2x2+4xy= 2x2+4x(80/x​​​​​​2). By finding the critical point and using the second derivative test, we will get the required Dimensions.

milcah answered 2 years ago
Next > < Previous

Related Solutions

Question 1- Suppose that one of every ten cereal boxes has a prize, Out of a...
Question 1- Suppose that one of every ten cereal boxes has a prize, Out of a shipment of n = 400 cereal boxes, find the probability that there are somewhere between 40 and 46 boxes with prizes. (Hint:use the dishonest coin principle with p = 0.1 to solve for the mean and standard deviation. Remember the probability is a decimal number, round the answer to the nearest hundredth.) Question 2- A normal distribution has a mean of 30 cm and...
Discuss how you would redesign a report you receive at work to make it more useful...
Discuss how you would redesign a report you receive at work to make it more useful for you. Would a visual presentation of the data be helpful?
How would you redesign the WTO to make it more effective in its stated purpose?
How would you redesign the WTO to make it more effective in its stated purpose?
You work for an organization in Nova Scotia and your manager, Jessica Boyer, has asked you...
You work for an organization in Nova Scotia and your manager, Jessica Boyer, has asked you to prepare a memo detailing the remittance responsibilities and legal consequences of non-compliance with statutory remittance requirements. studing material : Employers are responsible for registering and maintaining a payroll program account with the Canada Revenue Agency. The employer will remit the statutory deductions withheld from the employees’ remuneration for Canada Pension Plan (CPP) contributions, Employment Insurance (EI) premiums, and federal and non-Québec provincial income...
You work for an organization in Nova Scotia and your manager, Jessica Boyer, has asked you...
You work for an organization in Nova Scotia and your manager, Jessica Boyer, has asked you to prepare a memo detailing the remittance responsibilities and legal consequences of non-compliance with statutory remittance requirements.
A recent Coronavirus outbreak is developing in Australia and the World Health Organization has sent you...
A recent Coronavirus outbreak is developing in Australia and the World Health Organization has sent you to investigate it. You discover that the reservoir for the virus are snakes, but it reached humans via rabbits. In addition, it appears that the virus has a higher adsorption level compared to other viruses. With this information, provide a strategy to generate: (i) a passive immunization and (ii) an active immunization.
Imagine that you work for an organization that has no Internet use policy; employees use the...
Imagine that you work for an organization that has no Internet use policy; employees use the Internet in whatever way they want using company-owned personal computers (PCs). Could this cause a problem for the organization? Discuss the following IT security policies and the level of protection each policy provides in the context of your assigned scenario: Internet use policy External device use policy Employee Identity (ID) policy Computer use policy
Your organization has asked you to estimate the proportion of current employees who expect to retire...
Your organization has asked you to estimate the proportion of current employees who expect to retire by the age of 65. Develop an appropriate sampling frame and sampling approach to facilitate this task. Note: Your sample must be random. Outline the data collection process you would employ. Additionally, provide a substantive response to the following questions: What considerations need to be made when defining and collecting information from a sample? What problems might you encounter and how frequently might they...
Your friend Victoria runs a parrot rescue organization and has asked you create an app that...
Your friend Victoria runs a parrot rescue organization and has asked you create an app that will help her keep track of the parrots that have been in the rescue. For each parrot, Victoria needs to know the parrot’s name (pName), type of parrot (pType), age (pAge) and whether it has been adopted (isAdopted). She needs to be able to feed the parrot and bathe the parrot. You will write two classes for this app: the Parrot class and ParrotDriver...
Provide a paragraph of a real world example in a healthcare organization of mis-use for both...
Provide a paragraph of a real world example in a healthcare organization of mis-use for both quality and cost. What are the implications for effectiveness, efficiency, and the patient.
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT