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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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Tom [10]

Answer:

amount would get = $7310.41

Explanation:

given data

pay interest = 5 % = 0.05

invest = $6000

to find out

how much will she have at end of four years

solution

we get here Interest is compounded semi annually  

Interest = \frac{0.05}{2}

Interest 0.025 = 2.5 %

so here we have 4 year so here 8 semi annual period

amount would get = invest ×  (1+rate)^{time}

amount would get = $6,000 ×  (1+0.025)^{8}

amount would get = $7310.41

8 0
3 years ago
The table below shows some hypothetical data on the costs associated with the use of a liter of gasoline in a European country.
harina [27]

Answer:

The private cost for an individual of a liter of gasoline in Europe is 4.75

Explanation:

Private cost is a supplier's or producer's cost of providing goods and services without any external cost.

Private cost = 0.50 + 1 + 0.75 + 2.50

                    = 4.75

Therefore, The private cost for an individual of a liter of gasoline in Europe is 4.75

7 0
3 years ago
A ______________ merger unites firms at different stages of related businesses.
Salsk061 [2.6K]
Vertical merger is the joining of two companies involved in different stages of related businesses.
5 0
3 years ago
The table below shows a summary of Kaitlin's credit card statement for the month of February.
den301095 [7]

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A) 32 percent interest B) Yes it will be paid

Explanation:

23 times 42 divided by 7

6 0
3 years ago
Calamata Corporation processes a single material into three separate products A, B, and C. During September, the joint costs of
Elena-2011 [213]

Answer:

20%

Explanation:

Gross profit is the net of sales and cost of sales. Gross Profit percentage is the ratio of gross profit to sales expressed as percentage.

Product Units Produced Final Sales Value per Unit Separate Costs

   A             10,000                    $25                                  $125,000

   B             15,000                    $30                                  $250,000

   C            <u> 12,500 </u>                  <u> $24 </u>                                <u> $125,000</u>

Total           37,500                                                            $500,000

Sales Value

A (10,000 x $25)      $250,000

B (15,000 x $30)      $450,000

C (12,500 x $24)      <u>$300,000</u>

Total Sales Value                       $1,000,000

Less

Joint Cost                                  ($300,000)

Separable cost                         <u>($500,000)</u>

Gross Profit                               $200,000

Gross Profit Percentage = ( $200,000 / $1,000,000 ) x 100 = 20%

8 0
3 years ago
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