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koban [17]
3 years ago
8

Suppose that when the price of a certain commodity is p dollars per unit, then x hundred units will be purchased by consumers, w

here p 0.05x 38. the cost of producing x hundred units is c(x) 0.02x 2 3x 574.77 hundred dollars. sobecki, dave; price, michael; hoffmann, laurence; bradley, gerald. applied calculus for business, economics, and the social and life sciences, expanded edition, 11th edition (page 28). mcgraw-hill higher education -a. kindle edition.
Business
1 answer:
Nataly_w [17]3 years ago
7 0

Answer:

Profit = TR- TC
= x (P) - C(x)
= x(-0.05x+38) - (0.02x^{2} + 3x + 574.77)
= -0.05x^{2} + 38x - 0.02x^{2} - 3x - 574.77
= -0.07x^{2} + 35x -574.77

This profit equation is an equation of a parabola that opens downward (Since A=-0.07<0) and has its vertex at

x= -\frac{B}{2A}  = -\frac{35}{2 (-0.07)}  = 250

Thus, revenue is maximized when x=250 hundred units. At this quantity maximum profit is

P(250)=3800.23 hundred dollars

b. Profits are maximised at x=250 hundred units. The per unit price at this is,

p= -0.05x + 38&#10;= -0.05 (250) + 38&#10;= $25.5


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Suppose Stark Ltd. just issued a dividend of $2.24 per share on its common stock. The company paid dividends of $1.80, $1.98, $2
Sergeu [11.5K]

Answer:

Ans, The cost of the company’s cost of equity capital using the arithmetic average growth rate is 10.63% and using the geometric average of the growth rate is 10.60%

Explanation:

Hi, this is the equation we need to solve in order to find the company’s cost of equity capital.

r=\frac{Dividend}{Price} +g

As you can see, we almost have everything, the only problem here is "g", its growth rate, so let´s find "g" using the arithmetic average, but first, we need to find the growth rate for every period, the formula is

g=\frac{(FinalDividend-PastDividend}{PastDividend}

Therefore, we need to find 4 g´s, let´s call them g1, g2, g3 and g4:

g1=\frac{(1.98-1.80)}{1.80} =0.10

g2=\frac{(2.05-1.98)}{1.98} =0.0354

g3=\frac{(2.16-2.05)}{2.05} =0.0537

g4=\frac{(2.24-2.16)}{2.16} =0.0370

So the average is:

Average(g)=\frac{0.10+0.0354+0.0537+0.0370}{4} =0.0565

Therefore, the average growth rate is 5.65%

And the company’s cost of equity is:

r=\frac{2.24}{45} +0.0565=0.1063

so, if the average growth rate is found by using the arithmetic average is 10.63%.

Now, let´s find the geometric average

g(average)=\sqrt[4]{(1+0.10)(1+0.0354)(1+0.0537)(1+0.0370)} -1=0.0562

therefore, using the geometric average to find the growth rate, the company’s cost of equity is:

r=\frac{2.24}{45} +0.0562=0.1060

using the geometric average, the company’s cost of equity is 10.60%

Best of luck.

7 0
3 years ago
People with expertise tend to have more influence using ___, whereas those with a strong legitimate power base are usually more
BARSIC [14]

Answer:

C. persuasion; silent authority

Explanation:

Influence tactics can be regarded as steps that can be taken by people in order to exert influence on others in a particular organization, thereby bringing about achieving their goals. If successfully applied, influence tactics can help junior managers or lower level that lack substantial sources of power to be able to exert impact on both behavior and decisions of others within that organization.

Silent Authority can be regarded as silent application of authority, which can be elaborated as when someone complies with a particular request as a result of the requester’s legitimate hierarchical power and role expectations of the target person. This condition is often been referred to as deference to authority. As regards to deference, it takes place, where one comply with ones boss in completion of particular task, let say this task falls within one's job scope and ones boss has the right in making this request, then we can say the influence strategy works without persuasion or negotiation.

As an expert ,one would have broad as well as deep competence in terms of knowledge, experience and skill, with help of practice and education in a specific field. Individuals that has expertise usually have influence with the use of persuasion.

Power provide a person or unit with

opportunity to exert influence as regards organizational outcomes. Influence can be regarded as power in action. It should be noted that People with expertise tend to have more influence using persuasion, whereas those with a strong legitimate power base are usually more successful applying silent authority.

5 0
3 years ago
to startup a small part time business assume your only cost are paying $100 for equipment and paying each employee you hire $ 20
oksano4ka [1.4K]

And what do you mean by TFC?

The Trilateral Frigate Cooperation?

Takes money to make money so somethings starting off that also how good are the employees in the first place? is it worth $20? why not $15 and get 2 helping hands depending on the size of your business and the payment plan for your building.

4 0
4 years ago
You have two options to repay a loan. You can repay $6,000 now and $5,940 in one year; or you can repay $12,000 in 6 months. Fin
Brums [2.3K]

Answer:

We will consider positive interest rate which is i=0.21 or i=21%

Explanation:

The formula for Future value is:

FV=PV(1+i)^n

The present value will become:

PV=FV(1+i)^{-n}

where:

n is the number of years

Since the condition is same present value,so the given data form the equation:

6000+5940(1+i)^{-1}=12000(1+i)^{-1/2}

Divide above equation by (1+i)^{-1}

6000(1+i)+5940=12000(1+i)^{1/2}

Let z=(1+i)^{1/2}\\. Above equation will become:

6000z^2+5940=12000z

Rearranging above equation:

5940-12000z+6000z^2=0

Solving the quadratic equation:

z=1.1,    z=0.9

Let z=(1+i)^{1/2}\\ will become:

z=(1+i)^{1/2}\\\\z^2=1+i

i=z^2-1

For z=1.1

i=(1.1)^2-1\\i=0.21

For z=0.9

i=(0.9)^2-1\\i=-0.19

we will consider positive interest rate which is i=0.21 or i=21%

7 0
3 years ago
from accessibility improvement to land development: a comparative study on the impacts of madrid-seville high-speed rail.
iris [78.8K]

The five cities connected by the Madrid-Seville High-Speed Rail (HSR)—Madrid, Ciudad Real, Puertollano, Cordoba, and Seville—that have changed their land cover are the subject of this study. Between 1991 and 2006, there was an analysis. According to the report, the two largest cities in the Madrid-Seville region—Madrid and Seville—receive the majority of the benefits from land development, although smaller HSR-served cities also gain from this. Each city has its own unique land development process.

Madrid–Seville high-speed rail line.
The 472 kilometres (293 miles) long Madrid-Seville high-speed line, also known as NAFA or Nuevo Acceso Ferroviario a Andaluca, is a Spanish railway line used for high-speed travel between Madrid and Seville. Since April 21, 1992, the first high-speed rail link in Spain has been operational, reaching speeds of up to 300 km/h (186 mph). Over half less time was required to go between the two end points.

The high-speed rail line from Madrid to Malaga departs at Cordoba. Only the Alvia service is extended from Seville to Cádiz.

to learn more about Seville High-speed rail line
brainly.com/question/1995853
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