A small cruising ship that can hold up to 58 people provides three-day excursions to groups of 38 or more. if the group contains 38 people, each person pays $72. the cost per person for all members of the party is reduced by $1$1 for each person in excess of 3838. find the size of the group that maximizes income for the owners of the ship.

Answers

Answer 1
Final answer:

This is a problem in business mathematics involving maximization of profit. The question can be solved by setting up an equation involving the cost per person and the number of people, finding the derivative, and solving for when this derivative equals zero. This yields the optimal group size to be 56 people.

Explanation:

This is a maximization problem in mathematics, specifically in the field of business mathematics. The income of the company is dependent on the number of people on the cruise, with the cost per person decreasing as the size of the group increases. We first set up an equation to represent the income based on the size of the group:

Income = ($72 - (n - 38)) * n

This formula calculates the income by multiplying the cost per person by the number of people (n).

To find the size of the group that maximizes income, we can plot this equation and find the maximum point on the curve. Alternatively, we can take the derivative of the equation, set it equal to zero and solve for n. This will yield the point at which the income is at a maximum.

Doing this yields n = 56. Therefore, the size of the group that maximizes income for the owners of the cruise ship is 56 people.

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Related Questions

A step by step process is often called a _____ process, and a highway crew might use a ____ to smooth out the road

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Final answer:

Sequential process is a term used for a process that follows the same order of steps every time it’s run, and a road roller or paver is a type of equipment used by highway crews to smooth out roads.

Explanation:

A step by step process is often referred to as a sequential process. A term that describes a process that follows the same steps in an order, every time it's run. For a highway crew wanting to smooth out a road, they might use a road roller or a paver. These are heavy construction equipment designed specifically for compacting and smoothing surfaces. The roller operates in a step by step or sequential process, ensuring every section of the road is evenly covered.

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A subsistence economy is one that ________.

Answers

The answer is a vast majority of people engage in simple agriculture. This kind of economy is a non-monetary economy which depend on natural resources to be responsible for basic needs, over and done with shooting, gathering, and subsistence agriculture.

Under what conditions is the production possibilities frontier linear rather than bowed out

Answers

The switching between the two goods allows the line to linear rather than bowed out.


Final answer:

A production possibilities frontier (PPF) can be straight under conditions where opportunity costs are constant, meaning reallocating resources from one good to another results in a consistent trade-off, which is generally a simplification for illustrative purposes.

Explanation:

The question asks under what conditions the production possibilities frontier (PPF) is linear rather than bowed out, which falls under the subject of economics. Typically, the PPF is depicted as a curve to illustrate increasing opportunity costs when reallocating resources from the production of one good to another, such as shifting resources from education to health services. However, a PPF can be a straight line if opportunity costs are constant, meaning the loss in output from reducing the production of one good and increasing the production of another remains the same regardless of the amount produced. This scenario assumes the additional workers' contribution to output does not change with the scale of production. A linear PPF is simpler for calculations and can effectively illustrate economic principles like absolute and comparative advantage, despite being less realistic.

"when devising a classification scheme for systems components", is it more importantthat the asset identification list be comprehensive or mutually exclusive?

Answers

when devising a classification scheme for systems components, The asset identification list be comprehensive and mutually exclusive are equally more important.It is also important that the categories be both comprehensive and mutually exclusive. It is necessary that the system components all be classified and accounted for.

Which statements of tacitus might you regard as reliable and which are more suspect why?

Answers

I would say that Tacitus was probably more reliable in his history of the Roman emperors because he was a Roman senator and would be very updated on the workings of the Roman Empire. On the other hand, his apparent  denial of the existence of Jesus Christ would be suspect, given the weight of evidence to the contrary and though he was born only in 56 AD he. being of the Roman Empire would not likely be close to the followers of the teachings of Christ.

Why are desk drawers and cupboard doors kept closed unless you are taking something out or putting it away?

Answers

The main reason is safety! Others could trip or injure themselves or you, if they bump into a open cabinet. If you are in science class and carrying a chemical, you might spill it and have to repeat the experiment.
Final answer:

Keeping desk drawers and cupboard doors closed helps maintain an organized and tidy appearance, prevents accidents, protects contents from dust and potential damage, and provides security for valuable or sensitive items.

Explanation:

Desk drawers and cupboard doors are typically kept closed unless someone is taking something out or putting something away for various practical and aesthetic reasons. Keeping them closed helps maintain an organized and tidy appearance within a room, ensuring that the space looks clean and is easy to navigate. From a safety perspective, it prevents accidents such as tripping over an open drawer or hitting someone with an open door. Moreover, closed drawers and doors protect against dust and potential damage to the contents inside them. It also prevents pets or small children from accessing potentially dangerous items or making a mess. Security is another aspect to consider, as closed and locked doors can keep valuable or sensitive items safe.

The service industry represents ________ of the value of the u.s. economy.

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If it is given in value of percentage, it has been found out by researchers that the service industry that has shown a representation of the value of the United States economy is about seventy percent of which is considered to be of high value.

The service industry represents seventy percent of the value of the U.S. economy.  

Further Explanation:

Service industry:

The service industry refers to the type of industry which does not involve in the manufacturing process. It only involves in the process of transportation, distribution, transferring the one product into another, and packaging. This type of industry rarely involved in manufacturing, it does so in case of high demand. Services also include information technology services, tour, and travel services, housekeeping services and creches services.  

The U.S. Economy:

U.S. economy is an economy that exists in the united states of America. Economy means the total production of the goods in a particular year, it shows the growth of the country and also shows the national income of the country.  

The major part of the U.S. economy represents the service industry. Almost seventy percent part of the total economy represents the service industry. The manufacturing industry is less in u.s. economy. The national incomes represent the service industry instead of the manufacturing industry. Like in India, the national income represents more the manufacturing industry rather than the service industry.  

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1. Learn more about trade flows  

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Answer details:

Grade: Middle School

Subject: Economics

Chapter: U.S. Economy

Keywords: service industry, represents, seventy percent, value, of the U.S. economy,  manufacturing process, information technology services, tour, and travel services, housekeeping services and creches services.  

 

I really need help! Somebody please help me? I'll give brainliest answer!

Answers

New principle = amount of the loan-amount for principle

So the principal after the first payment is
New principle= 1,300−213.31
New principle=1,086.69

Hope it helps!

Compared to a Direct Unsubsidized Federal Loan, a Direct Subsidized Federal Loan provides which benefits?

Answers

Compared to Direct Unsubsidized Loans the Direct Subsidized Loans have the major advantage that the federal government is responsible to pay for the interest of Direct Subsidized Loans for the duration of a study period in college or while the loan is in postponement. While in the case of for Direct Unsubsidized Loans the interest starts as soon as the loan is issued.

A Direct Subsidized Federal Loan provides benefits compared to a Direct Unsubsidized Federal Loan including the government paying the interest, lower loan amounts based on financial need, and lower interest rates.

A Direct Subsidized Federal Loan provides several benefits compared to a Direct Unsubsidized Federal Loan:

The government pays the interest on a Direct Subsidized loan while the borrower is in school or during other eligible deferment periods.The loan is based on financial need, which means the borrower may qualify for a lower loan amount.The interest rates for Direct Subsidized loans are typically lower than those for Direct Unsubsidized loans.

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Ribbon is sold by the yard. if the cost is $2.79 per yard, how much does the ribbon cost per inch?

Answers

Final answer:

The cost of ribbon per inch is calculated by dividing the cost per yard ($2.79) by the number of inches in a yard (36), resulting in approximately $0.0775 per inch.

Explanation:

To calculate how much ribbon costs per inch when it is sold by the yard at a cost of $2.79 per yard, we need to convert yards to inches and then determine the cost for each inch. There are 36 inches in one yard (unit conversion is 1 yard = 3 feet and 1 foot = 12 inches), so we divide the cost per yard by the number of inches in a yard.

Using the given price of $2.79 per yard, we calculate the cost per inch as follows:

Cost per inch = Cost per yard / Number of inches in a yard

Cost per inch = $2.79 / 36

Cost per inch = $0.0775

Therefore, the cost of ribbon is approximately $0.0775 per inch.

Functional goals and strategies should be independent of divisional and corporate goals an strategies
a. True
b. False

Answers

the correct answer is b. False

​donna is in the _____ stage of change when she is able to reflect back over the last four years and realize how far she has come in creating a healthy new lifestyle for herself.

Answers

This is the Maintenance stage. Donna has made the changes in her life and is now able to look back on them and see how they have (positively or negatively) effected her life. She is able to see that, in this case, the changes have had a net positive effect.

Name some advantages and disadvantages of the graphing method and the algebraic method when determining solutions for linear functions

Answers

A benefit of using the graphing method to determine solutions for linear functions is that it is relatively quick and easy, and requires little algebraic work, while a disadvantage of using this method is that it is an approximation, and when working with decimal (not integer) values, your answer will not be accurate. An obvious advantage of using the algebraic method is that it produces a much more reliable and accurate answer every time, and it even allows you to double check your work by plugging x and y back in! A disadvantage is that it takes a longer amount of time, as well as requiring a greater knowledge of how to solve algebraic problems.

What are the major determinants of output and employment in the classical system? what role does aggregate demand have in determining output and employment?

Answers

honestly couldnt tell you 

How does columbus describe the role and rights of women in native american cultures?

Answers

Women in native American communities are held at a high regard, are well respected, and have the rights and liberties of men in certain situations. When married, the husband joined the woman's family as the family line was always traced through the women of the family. If a woman decided that she wanted a divorce from her husband, her decision was easily made when she put her husband out of the house to leave.

If a particular part of the body receives frequent stimulation, the corresponding part of the somatosensory map will _________ at the expense of adjacent cortical areas, which compensate by ________.

Answers

 the answer is:
expand; contracting

A liability created when a business receives cash from customers in advance of providing services or delivering goods is called​ a(n) ________.'

Answers

When a business receives cash from customers before providing services or delivering is called Unearned Revenue. This is a liability account, when the product should be provided this account balance is decreased and a revenue account is increased.

Identity and explain the type of adjustment raised in each transaction entered into by ABC Ltd. show how each adjustment will be reflected in the general journal for ABC Ltd for the year ended 31 December 2016

Answers

Identity and explainthe types of adjustment raised in each transaction entered into by ABC Ltd

The doctrine of egalitarianism,which is professed by socialist economies is refer to by what?

Answers

The doctrine of egalitarianism is a vital piece of documentation that presents insight into the needs for equal economic opportunity and distribution of income and social services across the masses. This is due to the ideal that all individuals in a society need to be cared for for it to be successful.

________ are those that lead to new features and capabilities in existing products or to completely new products.

Answers

Final answer:

Innovations introduce new features or entirely new products, driving industry evolution through technological advances and spillover effects. The process is supported by patent laws, encouraging ongoing R&D investments.

Explanation:

Innovations are those that lead to new features and capabilities in existing products or to completely new products. This process can involve incremental changes that refine and improve current products or radical developments that introduce entirely novel items into the market. The heart of innovation often lies in the ability to recognize and respond to changes in consumer demands, technological advances, or both.

Two key aspects highlighting the impact of innovation include technological advances and spillover effects. Technological advances drive the development of new or improved products and services by providing fresh means or methods of production. Meanwhile, spillover effects refer to the beneficial outcomes of research and development initially intended for one product, but that inadvertently benefit other products or firms. This interconnectedness suggests that investments in technology and R&D can yield widespread industry benefits beyond the original intent.

Moreover, product and process innovation play crucial roles in shaping industry dynamics. They not only lead to the rise of new products but also influence competitive rivalry and the forms of competition within industries. Pertinently, such innovations are supported by patent laws, which protect inventors and encourage continuous investment in R&D by granting them exclusive rights to their creations for a certain period.

What are three skills you are likely to need as an entrepreneur?

Answers

Networking skills,organization skills, listening skills, and speaking skills hope that helps

Answer:

1. Ambition. It is easy to give up when the going gets tough, but the most successful entrepreneurs persist because of their ambitious nature

2. Willingness to Learn.

3.Ability to Listen

Aggregate supply is best described as the

total output of product.
point of equilibrium.
nation’s gross domestic product.
excess supply in the market.

Answers

The answer is the total  output of product.
Aggregate supply is the total quantity output firms will produce and sell. It is the total supply of goods and services produced within an economy at a given overall price level in a given period. It depicts the quantity of real GDP that is supplied by the economy at different price levels.

Rebecca, a department manager, has been dealing with two workers in her department who do not get along. due to family problems for both employees, today they had a loud argument in the break room. rebecca is meeting with both to resolve the issues as part of which managerial role?

Answers

In order to ensure smooth sailing and proper functioning and operations, Rebecca is meeting with the two individuals in her department as a means of conflict management and resolution. This is required for any managerial position that oversees other employees.

Personnel forecasting is a functional area information system contained within the ________ department of an organization.

Answers

The answer to this question is Human Resources
The functional area of an information system usually directly related to the current operation of the company, such as what responsibilities that each employees have, the chain of commands that must be followed, how to handle relationship with co-workers, etc.

"what is the biggest potential problem with selecting a topic at random?"

Answers

The biggest potential problem when selecting a topic at random is that you don't know what topic to expect, whether it will be something you already know or something that you haven't even know, by that, conflicts will arise if the topic you get is something that you don't know or have studied on.

A 6% pay increase to your current $62,900 annual salary. "thanks, i look forward to the additional __________ per month."

Answers

So 6% of $62,900 is $3774, which you then divide by 12 because there are 12 months and you want to see how that $3774 increase breaks down to one month. When you divide 3774 by 12 you get $314.50. So they would be looking forward to an additional $314.50 per month.
Final answer:

To calculate a 6% percentage calculation pay raise on a $62,900 salary, you multiply the salary by 0.06 to get the annual increase. When the resulting number is divided by 12, you get the monthly raise amount, which is $314.50.

Explanation:

To calculate the monthly increase of a 6% pay raise on a $62,900 salary, you would first find the total annual increase and then divide by 12 for the monthly amount.

First, find what 6% of $62,900 is: 62900 x 0.06 = $3,774. This is the annual increase. To find out what this translates to on a monthly basis, divide this by 12: $3,774 ÷ 12 = $314.50.

Therefore, with a 6% pay increase, you can look forward to an additional $314.50 per month.

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The inuit have dozens of words for what we typically call snow. this is an example of ____________.

Answers

This is an example of linguistic relativism, or sometimes also called “Sapir–Whorf hypothesis", for the reason that the theory was developed by Edward Sapir and Benjamin Lee Whorf. It states the language any particular people speak cast an influence on the people’s process of knowing something. Inuit experience a lot of snow in their environment ultimately leading to the creation of many words for snow.

The cimarron middle school orchestra sold 8720.00 worth of candy bars in 28 days about how muck did they each make in a day

Answers

8720/28 = 311.4285714
Divide 8720.00 by 28
When you do that you get:
311.428571429



Select examples of unpaid work that are not included in the real GDP per capita.
a) working in a clothing store
b) taking care of your parents
c) washing dishes
d) doing laundry

Answers

Answer:

The answers are B taking care of your parents,C washing dishes,D doing laundry

Explanation:

this is because these jobs are something someone is doing and usually not documenting into things like when they do their income taxes or in other words completely undocumenting.

The examples of unpaid work that are not included in the real GDP per capita are taking care of the parents, washing dishes, and doing laundry.

What is real GDP Per Capita?

Real GDP per capita is defined as a mensuration of the entire or the aggregate economic turnout of a country and that is divided by the number of citizens and adjusted for inflation.

It's used to compare the standard of living between countries and over time. This is due to the fact that washing dishes and  taking care of your parent jobs are typically performed without documentation, such as when filing taxes, or in other words, fully undocumented.

Therefore, options B, C, and D are correct.

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What type of tax is this? a disposal fee for old tires that is paid when new tires are purchased?

Answers

environmental tax/fee
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