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
gulaghasi [49]
3 years ago
10

The Acme Widget Company has found that if widgets are priced at s 389, then 1000 will be sold. They have also found that for eve

ry increase of $ 10, there will be 600 fewer widgets sold. The marginal cost of widgets is $ 97.25. The fixed costs for the Acme Widget Company are $ 8000. lf x represents the price of a widget find the following in terms of x The number of widgets that will be sold: The revenue generated by the sale of widgets: The cost of producing just enough widgets to meet demand: The proft from selling widgets: Find the price that will maximize profits from the sale of widgets:
Business
1 answer:
kvv77 [185]3 years ago
4 0

Answer:

See the explanation below.

Explanation:

a. The number of widgets that will be sold

Let y represent the number of widgets that will be sold, and and we already have x as price of widget, we therefore have:

y - 1,000 = (-600/10) * (x - 389)

y - 1,000 = -60 * (x - 389)

y = 1,000 - [60 * (x - 389) ]

y = 1,000 - 60x + 23,340

y = 24,340 - 60x

b. The revenue generated by the sale of widgets

Let R represent Revenue, therefore we have:

R = xy

R = x(24,340 - 60x)

R = 24,340x - 60x²

c. The cost of producing just enough widgets to meet demand

Let C represent total cost, we therefore have:

C = 8,000 + 97.25y  

C = 8,000 + 97.25(24,340 - 60x)

C = 8,000 + 2,367,065  - 5,835x

C =  2,375,065  - 5,835x

d. The proft from selling widgets

Let P represent profit, we therefore have:

P = R - C

P = 24,340x - 60x²  - (2,375,065  - 5,835x)

P = 24,340x - 60x²  - 2,375,065  + 5,835x

P = - 60x²  + 30,175x - 2,375,065

e. Find the price that will maximize profits from the sale of widgets

Profit is optimum when dP/dx = 0

Therefore, we have

0 = - 120x + 30,175

120x = 30,175

x = 30,175/120 = $251.46

You might be interested in
Which of the command systems would be the most appropriate when there are six victims at a mvc?
Olin [163]

Singular command. In a motor vehicle accident with multiple victims, the scene will be chaotic and having a single, clear leader will best help resolve the situation.

5 0
3 years ago
What is most likely to cause a rise in expenditure in an economy?
d1i1m1o1n [39]

Answer:

B

Explanation:

because b i think gimme vbucks

3 0
3 years ago
During the process of succession, A. only consumers can enter a developing ecosystem. B. producers typically enter a developing
Karolina [17]

Answer: B. producers typically enter a developing ecosystem before consumers.

Explanation: Succession can be described as the series of predictable changes that occur in a community over time.

During the process of Succession,producers typically enter a developing ecosystem before consumers.

Consumers need producers, this is because producers create food for themselves and also provide energy for the rest of the ecosystem.

6 0
3 years ago
Talk about why you think it is sometimes important to represent a procedure mathematically.
7nadin3 [17]
It is important, because you have to explain how to do a procedure in order for the former person to understand what you believe is correct in math.
7 0
3 years ago
One of the workers in Henry's department submitted his two weeks' notice so Henry needs to hire a replacement. The HR department
cupoosta [38]

Answer:

procedure

Explanation:

According to my research on different human resource responsibilities, I can say that based on the information provided within the question there is a procedure that Henry must follow. Like described in the question a Procedure is a set of step by step instructions that must be followed accordingly in order to achieve a certain goal.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

3 0
2 years ago
Other questions:
  • Charleston Corporation (CC) now operates as a "regular" corporation, but it is considering a switch to S Corporation status. CC
    8·1 answer
  • Please help. The process of developing a solution to a difficult situation is called creative thinking. brainstorming. decision
    13·2 answers
  • Security dealers: are limited to trading non-listed stocks. buy and sell from their own inventory. operate exclusively in auctio
    5·1 answer
  • What is the Total Cost of a stock purchase if the stock price is $54, shares purchased 150, with a $5 Commission Fee? (See probl
    7·1 answer
  • On July 1, Year 1, Denver Corp. purchased 3,000 shares of Eagle Co.�s 10,000 outstanding shares of common stock for $20 per shar
    14·1 answer
  • A 4-year project has an annual operating cash flow of $51,000. At the beginning of the project, $4,200 in net working capital wa
    5·1 answer
  • Rachel's Designs has 2,000 shares of 7%, $50 par value cumulative preferred stock issued at the beginning of 2019. All remaining
    10·1 answer
  • The price elasticity of demand (based on the midpoint formula) when price increases from $10 to $12 is:______
    8·1 answer
  • Your real estate agent mentions that homes in your price range require a payment of $1,200 per month for 30 years at 0.75% inter
    12·1 answer
  • Explain why there are advantages to a movie studio operating in southern California, rather than in, say, Florida.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!