1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dennis_Churaev [7]
3 years ago
9

Raggs, Ltd. a clothing​ firm, determines that in order to sell x​ suits, the price per suit must be p=120 - 0.5 x. It also deter

mines that the total cost of producing x suits is given by C (x)=2500 + 0.25 x ^2. ​a) Find the total​ revenue, R (x). ​b) Find the total​ profit, P (x). ​c) How many suits must the company produce and sell in order to maximize​ profit? ​d) What is the maximum​ profit? ​e) What price per suit must be charged in order to maximize​ profit?
Business
1 answer:
kodGreya [7K]3 years ago
8 0

Answer:

A) R(x) = 120x - 0.5x^2

B) P(x) = - 0.75x^2 + 120x - 2500

C) 80

D) 2300

E) 80

Explanation:

Given the following :

Price of suit 'x' :

p = 120 - 0.5x

Cost of producing 'x' suits :

C(x)=2500 + 0.25 x^2

A) calculate total revenue 'R(x)'

Total Revenue = price × total quantity sold, If total quantity sold = 'x'

R(x) = (120 - 0.5x) * x

R(x) = 120x - 0.5x^2

B) Total profit, 'p(x)'

Profit = Total revenue - Cost of production

P(x) = R(x) - C(x)

P(x) = (120x - 0.5x^2) - (2500 + 0.25x^2)

P(x) = 120x - 0.5x^2 - 2500 - 0.25x^2

P(x) = - 0.5x^2 - 0.25x^2 + 120x - 2500

P(x) = - 0.75x^2 + 120x - 2500

C) To maximize profit

Find the marginal profit 'p' (x)'

First derivative of p(x)

d/dx (p(x)) = - 2(0.75)x + 120

P'(x) = - 1.5x + 120

-1.5x + 120 = 0

-1.5x = - 120

x = 120 / 1.5

x = 80

D) maximum profit

P(x) = - 0.75x^2 + 120x - 2500

P(80) = - 0.75(80)^2 + 120(80) - 2500

= -0.75(6400) + 9600 - 2500

= -4800 + 9600 - 2500

= 2300

E) price per suit in other to maximize profit

P = 120 - 0.5x

P = 120 - 0.5(80)

P = 120 - 40

P = $80

You might be interested in
Studying business ethics will not necessarily
Serga [27]

Business ethics will never tell you exactly what to do in all decisions. The study of business ethics is designed to help you understand the importance of your decisions, inform you of impacts, describe the ethical decision-making process, and help you recognize ethical issues, but it will not tell you what to do. It will simply give you the tools necessary to make a decision.

7 0
2 years ago
Which of the following is true of using direct marketing channels?
podryga [215]

Answer:

c

it reduces the number of channels example, by using email and short message servicing

7 0
3 years ago
What are the goals when a government uses expansionary monetary policy?
Ainat [17]

Answer:

stimulating economic growth

Explanation:

Expansionary monetary policies are the action by the Fed that aims at stimulating economic growth.  They aim at increasing the money supply in the economy. Examples of expansionary monetary policies are open market purchases, reduction of the discount rate, and reduction in the reserve requirement ratio.

Expansionary monetary policies stimulate economic growth by encouraging investments and consumption spending. When the discount rate is reduced, interest rates reduce automatically. Banks will loan out more when they a lot of money in their custody. Expansionary monetary policies are applied when there is a slowdown in economic growth.

5 0
2 years ago
In a free market setting where quantity supplied is 40 units and quantity demanded is 50 units, price will:
zvonat [6]

Answer: Increase

Explanation:

According to the Law of Supply and Demand, If the demand for the good is higher than the supply, the price will be higher to reflect the relative scarcity and if the demand is lower than supply, the price will be lower to reflect the relative excess.

In this case the quantity demanded is higher than the quantity supplied so the price will have to increase to reflect the relative scarcity of the good.

4 0
2 years ago
I am an absolute beginner to the job. Whenever I receive an inquiry from a client, my supervisor will text me a price in RMB (Ch
forsale [732]

Answer:

There had been a consensus among economists that the Chinese currency has been undervalued in the 15% to 40% range for many years.1 However, the International Monetary Fund (IMF) stated in the summer of 2015 that the Chinese currency was no longer undervalued against the dollar given its recent appreciation.2

Chinese money, however, comes by two names: the Yuan (CNY) and the people's renminbi (RMB). The distinction is subtle: while renminbi is the official currency of China where it acts as a medium of exchange, the yuan is the unit of account of the country's economic and financial system.

1:02

Yuan Vs RMB: Understanding The Difference

Money As a Medium of Exchange

Money enables anyone who possesses it to participate as an equal market player. When consumers use the money to purchase an item or service, they are effectively making a bid in response to an asking price. This interaction creates order and predictability in the marketplace. Producers know what to produce and how much to charge, while consumers can reliably plan their budgets around predictable and stable pricing models.

When money, as represented by a currency, is no longer viable as a medium of exchange, or if its monetary units can no longer be accurately valued. Consumers lose their ability to plan budgets, and there is no longer a way to gauge supply and demand accurately. In short, market volatility will cause the markets to become chaotic.

Prices are bid up or raised, in response to worries about scarcity and fears of the unknown. Meanwhile, supply diminishes because of hoarding behaviors, coupled with an inability of producers to quickly replenish inventory.

Money as Unit of Account

Unit of account (or numeraire) is an economic term that represents a unit in which prices are measured. A numeraire is usually applied to a single good, which becomes the base value for the entire index or market. By having a numeraire, or base value, it allows us to compare the value of goods against each other. In essence, the numeraire acts as a set standard of value across an exchange.

An example of a numeraire arises when we look at how currencies were valued under the Bretton Woods Agreement and System during the mid-twentieth century. The U.S. dollar (USD) was fixed at $35 per ounce of gold. All other currencies were then priced as either a multiple or a fraction of the dollar.3 In this situation, the USD acted as the de facto benchmark, or numeraire, because it was fixed to the price of gold.

6 0
2 years ago
Other questions:
  • ____ act as the export sales department for a manufacturer. Group of answer choices International freight forwarders Shippers as
    13·1 answer
  • What are some union issues that are in the popular press (news, magazines,
    6·1 answer
  • Which of the following is/are true about specialists? I. Investment banks generally cannot be specialists. II. Specialists are u
    10·1 answer
  • Public Domain
    7·2 answers
  • All of the following are good choices to search for potential scholarships except:
    9·2 answers
  • Units of production data for the two departments of Continental Cable and Wire Company for November of the current fiscal year a
    12·1 answer
  • What is the cost driver for rent expense? ​
    7·1 answer
  • Brown Fashions Inc.'s December 31, 2018 balance sheet showed total common equity of $4,050,000 and 165,000 shares of stock outst
    6·1 answer
  • Michael has been saving his money and wants to invest it. After doing some research, he has decided to invest $20,000 into a Cer
    15·1 answer
  • Near an ocean beach, a high-rise building is being constructed that will block the scenic view of the ocean by the residents of
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!