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juin [17]
3 years ago
6

Suppose that for each firm in the competitive market for potatoes, long-run average cost is minimized at $0.6 per pound when 150

pounds are grown. The demand for potatoes is Q = 40,000/p. If the long-run supply curve is horizontal, then what would be the total consumer spending?
Mathematics
1 answer:
mihalych1998 [28]3 years ago
6 0

Answer:

Total consumer spending is 160

Step-by-step explanation:

Here , we are interested in calculating the total consumer spending.

In a long run perfect competition market, price interest with MC and minimum point of AC

Hence , P = AC

this means that Q = 40,000/P = 40,000/150 = 266.67 which is approximately 267 potatoes will be consumed

The total consumer spending is thus 267 * 0.6 = 160

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The cost (c) to hire a dog trainer is varies directly with the amount of time (h) in hours spent training the dog.
NNADVOKAT [17]

Answer:

Part A) The proportional equation is c=55h

Part B) 8 hours of training

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

Let

c -----> the cost to hire a dog

h ----> the amount of time in hours

The linear equation is equal to

c=kh

Sue spent $660 on 12 hours of obedience training for her dog Muffin

Find the value of k (constant of proportionality)

k=y/x

substitute the values

k=660/12=55

therefore

The linear equation is

c=55h

For c=\$440

Find the value of h

substitute in the equation and solve for h

440=55h

h=440/55=8\ hours

5 0
3 years ago
The cost of a ball is one fourth of the cost of a bat. Write this statement as a linear equation in two variables
stiks02 [169]

Answer:

y: cost of a ball

x: cost of a bat

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6 0
3 years ago
A company deposits $25,000 in a bank account that earns interest. The value of the account can be represented as 25,000e^0.0198t
nasty-shy [4]

Answer:

  k = 1.2

Step-by-step explanation:

Solving for t when the account value is 30,000, we have ...

  30,000 = 25,000e^(0.0198t)

  30,000/25,000 = 1.2 = e^(0.0198t)

  ln(1.2) = 0.0198t

  t = ln(1.2)/0.0198

Matching this with the form ...

  t = ln(k)/0.0198

we see that k = 1.2.

_____

k is the multiplier of account value in time period t.

7 0
3 years ago
The figures are similar find X ​
mr Goodwill [35]

Answer:

<h3><em>X=14.4</em></h3>

<em>Step-by-step explanation:</em>

<em>As triangles are similar </em>

<em>The ratio of the sides must be equal</em>

<em>so..</em>

<em />\frac{x}{8} =\frac{9}{5}<em />

<em />x=\frac{9*8}{5}<em />

<em />x=14.4<em />

<em>hope it helps...</em>

<em>have a great day!!</em>

4 0
3 years ago
At a local Brownsville play production, 560 tickets were sold. The ticket prices varied on the seating arrangements and cost $8,
BigorU [14]

Answer:

Number of $8 tickets sold  = 210

Number of $10 tickets sold  = 280

Number of $12 tickets sold  = 70

Step-by-step explanation:

The number of ticket sold is 560  tickets .

Total number of ticket sold = 560 tickets

The prices varies as $8, $10 and $12.

The total income from the ticket sold = $5320

Let

number of  $8 ticket sold = a

number of  $10 ticket sold = b

number of  $12 ticket sold = c

a + b = 7c

Therefore,

8a + 10b + 12c = 5320

a + b + c = 560

7c + c = 560

8c = 560

divide both sides by 8

c = 560/8

c = 70

Insert the value of c in the equations below

8a + 10b + 12c = 5320

8a + 10b + 12(70) = 5320

8a + 10b + 840 = 5320

8a + 10b = 5320 - 840

8a + 10b = 4480...........(i)

a + b + c = 560

a + b + 70 = 560

a + b = 560 - 70

a + b = 490...............(ii)

8a + 10b = 4480...........(i)

a + b = 490...............(ii)

a = 490 - b

insert the value of a in equation(i)

8(490 - b) + 10b = 4480

3920 - 8b + 10b = 4480

3920 + 2b = 4480

2b = 4480 - 3920

2b = 560

b = 560/2

b = 280

insert the value of b in equation (ii)

a + b = 490...............(ii)

a + 280 = 490

a = 490 - 280

a = 210

Number of $8 tickets sold  = 210

Number of $10 tickets sold  = 280

Number of $12 tickets sold  = 70

4 0
3 years ago
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