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erma4kov [3.2K]
3 years ago
5

Suppose market demand and supply are given by Qd = 100 − 2P and Qs = 5 + 3P. If the government sets a price floor of $30 and agr

ees to purchase all surplus at $30 per unit, the total cost to the government will be:
(A) 1650
(B) 1375
(C) 900
(D) 1125
Business
1 answer:
Blizzard [7]3 years ago
4 0

Answer: $1650

Explanation:

Quantity Demanded = 100 - 2P

Quantity Supplied = 5 + 3P

Price floor = $30

To get quantity demanded and quantity supplied, put the value of price into the functions given.

Qd = 100 - 2P

= 100 - 2(30)

= 100 - 60

= 40

Qs = 5 + 3P

= 5 + 3(30)

= 5 + 90

= 95

Since quantity supplied is 95 and quantity demanded is 40, the surplus will be 95 minus 40 which gives a value of 55.

Since the government has agreed to buy every surplus for $30,

Value of surplus= 55 units × $30 = $1650.

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Charlotte is trying to measure her salon's productivity during the first quarter. For this period, she should divide ________ by
IRISSAK [1]

Answer:

the total salon services and products sold

Explanation:

Productivity can be regarded as ratio of output volume to that of the volume of inputs. It give the measurements of

production inputs efficiency, these input could be labour, capital. Productivity helps to know how these inputs are been used in production of given level of output in economy.

7 0
2 years ago
An oil refinery is located on the north bank of a straight river that is 3km wide. A pipeline is to be constructed from the refi
Mariulka [41]

Answer:

$6,598,076.21

Explanation:

<h2>THE KEY IS TO FIND OUT THE COST FUNCTION, the calculations are very easy!!!</h2><h2></h2><h3>In order to find the cost function, take a look at the drawing attached. </h3>

We can see the river (sort of) that is 3 km wide and the storage tanks on the other side of the river 8 km apart.

<h3 />

Laying pipes under (across) the river costs 1,000,000 the km & laying pipes over land costs 500,000 per km.

<h3 /><h3>So basically the cost function is 1,000,000 multiplied by something plus 500,000 multiplied by another something.</h3><h3 />

The distance across the river can be found by using Pythagoras Theorem. A side is 3 km the other is unknown, so we call it X. And it is equal to:

\sqrt{3^{2} +x^{2}}=\\\sqrt{9 +x^{2}}

And we multiply it by 1,000,000; the cost of laying pipe under the river, the we get:

1000000\sqrt{9+x^{2}

The distance over the land is (8-x), as we can see in the drawing. So we multiply it by its cost, 500,000. And we get 500,000(8-x).

So the cost function f(x) would be:

f(x)=1000000\sqrt{9+x^{2}} + 500000(8-x)

<h2>From here, we just have to differentiate and the derivative found must be equal to zero in order to minimize cost. </h2><h3>The value of x when the derivative is zero is plugged in the original function to get the cost.</h3><h3 /><h2>LET'S DO THIS</h2>

f(x)=1000000\sqrt{9+x^{2}} + 500000(8-x)\\f(x)=1000000(9+x^{2})^{1/2}+4000000-500000x\\f'(x)=\frac{1}{2} 1000000(9+x^{2})^{-1/2}(2x)-500000\\\\f'(x)=\frac{1000000x}{\sqrt{9+x^2}}  - 500000

<h2>f'(x)=0</h2>

f'(x)=\frac{1000000x}{\sqrt{9+x^2}}  - 500000=0\\\frac{1000000x}{\sqrt{9+x^2}}  = 500000\\\frac{2x}{\sqrt{9+x^2}}  = 1\\2x={\sqrt{9+x^2}}\\4x^2=9+x^2\\3x^2=9\\x^2=3\\x=\sqrt{3} \\

And we plug square root of 3 in the original cost function  ad we get

f(\sqrt{3} )=1000000\sqrt{9+x^{2}} + 500000(8-x)\\f(\sqrt{3})=1000000\sqrt{9+(\sqrt{3} )^{2}} + 500000(8-(\sqrt{3}))\\f(\sqrt{3})=1000000\sqrt{9+3} + 500000(8-(\sqrt{3}))\\f(\sqrt{3})=1000000\sqrt{12}+500000(6.27)\\f(\sqrt{3})=1000000(3.46)+500000(6.27)\\f(\sqrt{3})=3464101.62+3133974.60\\f(\sqrt{3})=6598076.21\\

<h2>so the minimal cost is $6,598,076.21</h2><h2 /><h3 />

6 0
3 years ago
On average, 35% of the sales on account are collected in the month of sale, 40% are collected in the month following sale, 10% a
stellarik [79]

Answer:

35% of sales(say $2,000,000) in April

$700,000

Explanation:

Step one :

Assuming that the sales made for April is $2,000,000

According to the conditions in which money is collected 35% of sales made for a month is collected for the month

For april the expected amount

=35/100*2,000,000

=$700,000

4 0
3 years ago
Read 2 more answers
On the TV show Shark Tank, pitcher Donny McCall presented his company Invis-A-Rack, which produces a cargo equipment holder for
solong [7]

Answer:

The correct answer is Modular.

Explanation:

The commercial systems of the service companies are gaining complexity over time, having a modular and integrated solution natively generates competitive advantages and saves time and effort in the different procedures.

A modular and integrated system allows clarity about the information that is handled in each area, the relationship between them and how the different processes of the company are integrated. A modular and integrated system translates into, unify data, optimize costs and work efficiently.

5 0
3 years ago
Romney's Marketing Company has the following adjusted trial balance at the end of the current year. No dividends were declared.
DerKrebs [107]

Answer:

Net income = $3,560

Explanation:

                                       Romney's Marketing Company

                                        Multi-step income statement

                               For the Year ended December 31 20YY

Sales revenues 37,250

Less: Cost of goods sold = 0

Gross profit                                                          = 37,250

Less: Operating expense:

Wages expense                                 = $19,000

Depreciation expense                       = $1,750

Utilities expense                                = $320

Insurance expense                            = $780

Rent expense                                     = $9,800

Total operating expense                   = ($31,650)

Add: operating income:

Rent revenue                                      =  $560

Total operating income                                         = $6,160

Other operating income

Interest revenue                                                    = 160

Net income before taxes                                      = $6,320

Income tax expense                                              = $2,760

Net income                                                             = $3,560

4 0
3 years ago
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