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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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Gilmore, Inc., just paid a dividend of $3.05 per share on its stock. The dividends are expected to grow at a constant rate of 5.
Alona [7]

Answer:

intrinsic value: 49.50

value in four years:        $   61.32

value in fourteen years: $ 104.75

Explanation:

we solve using the gordon model:

\frac{divends_1}{return-growth} = Intrinsic \: Value

D0 =  3.05

D1 = 3.05 x ( 1 + 0.055) = 3.21775‬

\frac{3.21775}{0.12 - 0.055} = Intrinsic \: Value

Value: 49.50384615

<u>In the future will grow at the same rate as dividends:</u>

price in four years:         49.50 x (1.055)^4  =  61.32182021

price in fourteen years: 49.50 x (1.055)^14 = 104.7465274

7 0
3 years ago
You are offered an annuity that will pay you $200,000 per year, at the end of the year, for 25 years. The first payment will arr
maksim [4K]

Answer:

I am willing to pay $1,202,235.89 for this annuity.

Explanation:

Calculate Present value of future cash flow to calculate the price for the annuity should be paid now.

Monthly receipt = PMT = $200,000

Number of years = n = 25 years

Rate of return = r = 16.25% = 0.1625

PV = PMT x [ 1- ( 1 + r )^-n )] / r

PV = $200,000 x [ 1 - ( 1 + 0.1625 )^-25 ) ] / 0.1625

PV = $200,000 x [ 1 - ( 1.1625 )^-25 )] / 0.1625

PV = $1,202,235.89

7 0
3 years ago
During recessionary periods, bonds that were issued many years ago have a higher coupon rate than currently issued bonds. Theref
Mandarinka [93]

Answer:

YTM = 6.818%

Explanation:

YTM = \frac{C + \frac{F-P}{n }}{\frac{F+P}{2}}

C= cash payment of the bond: 50,000 x 19%/2 = 4,750

F= Face Value= 50000

P= purchase value=60000

n= number of payment= 5 years at 2 payment a year = 10

YTM = \frac{4750 + \frac{50,000-60,000}{10 }}{\frac{50,000+60,000}{2}}

Important: it is better to calculate the YTM using a financial calculator, this is an approximation

6 0
2 years ago
Factors such as the increasing number of women in the workforce and the growing number of older workers exemplify which force fo
Slav-nsk [51]

Answer:

The answer is Demographic Characteristics.

Explanation: Demographic Characteristics are data about a population which include qualities such as age, gender, race, religion, family status, occupation, education level, income, location, ethnicity, marital status, sexual orientation, health status, home ownership, etc.

These qualities are qualities outside an organization that it has no control over.

3 0
3 years ago
The following is a December 31, 2018, post-closing trial balance for Culver City Lighting, Inc. Account Title Debits Credits Cas
wel

Answer:

a. Current Ratio is 4.33 times

b. Acid Test Ratio is 2.49 times                                            

c. Debt Equity Ratio is 1.52 times

Explanation:

a. Current Ratio : In this ratio, it shows a relationship between current asset and current liabilities.  

So, Current ratio = Current Assets ÷ Current liabilities

where current assets = Cash + Accounts receivable + Inventories + Prepaid insurance

So, current assets = $74,000 + $58,000 + $ 64,000 + $34,000 = $230,000

And, Current liabilities = Accounts payable + Interest payable + notes payable

So, current liabilities = $21,500 + $11,500 + $20,000 = $53,000

Now apply these amounts to above formula

= $230,000 ÷ $53,000

= 4.33 times

Hence, Current Ratio is 4.33 times

 b. Acid test Ratio : In this ratio, it shows a relationship between quick asset and current liabilities.  

So, Acid Test ratio = Quick Assets ÷ Current liabilities    

where quick assets = Cash + Accounts receivable

                                  = $74,000 + $58,000

                                  = $132,000

And, Current liabilities = Accounts payable + Interest payable + notes payable

So, current liabilities = $21,500 + $11,500 + $20,000 = $53,000

Now apply these amounts to above formula

= $132,000 ÷ $53,000

= 2.49 times

Hence, Acid Test Ratio is 2.49 times                                            

c. Debt Equity Ratio : The debt equity ratio shows a relationship between total debt and total equity of the firm. It helps to calculate the profitability of the company.  

Where total debt includes accounts payable, interest payable, notes payable etc and total equity includes common stock, retained earnings, etc.  

So, The formula to compute debt equity ratio  

= Total debt ÷ Total Equity  

where,  

Total debt = Accounts payable +  interest payable + notes payable

                 = $21,500 + $11,500 + $200,000

                 = $233,000

And total Equity = Common stock + retained earnings

                          = $89,000 + $64,000

                          = $153,000

So, debt equity ratio = $233,000 ÷ $153,000

                                  = 1.52 times

7 0
3 years ago
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