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Harman [31]
3 years ago
6

If output is produced according to Q = 5Lk (L is the quantity of labor and k is the quantity of capital), the price of K is $12,

and the price of L is $6, then the cost minimizing combination of K and L capable of producing 4,000 units of output is:__________.
A. L = 25 and k = 32.
B. L = 30 and k = 26.67.
C. L = 10 and k = 80.
D. L = 20 and k = 40.
E. L = 40 and k = 20.
Business
1 answer:
sattari [20]3 years ago
8 0

Answer:

The option E is correct

Explanation:

Solution

Given that:

The output manufactured to Q = 5Lk

Where L= Labor quantity

k=Capital quantity

The price of K= $12

The price of L =$6

Now,

We find the combination of both K and L that will produce 4,000 units of output.

MPL/MPK is defined as the cost minimizing combination = w/r

Thus,

MPL/MPK = D(Q)/dl = 5k

same will be done for L,

MPL/MPK = D(Q)/dk = 5L

We divide 5K and 5L

So,

5k/5L =$6/$12

k/L = 1/2

Thus,

k =L/2

Now, when we substitute the value  L = 2k in Q we have the following below:

Q = 5k * (2k)

Given that Q = 4000

So,

4000=10k2

4000=k2

we divide

k =20

L = 2k = 2820

= 40

Therefore, L =40, k = 20

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Zolol [24]

Answer: a. always declines with increased levels of output.

Explanation: the average fixed cost curve graphically illustrates or shows the relation between average fixed cost a firm incurs in the short-run production of a good or service, and the quantity produced. The average fixed cost curve always declines with increases in the level of output resulting in a negatively sloped curve. This is to say that the average fixed cost is relatively high at smaller quantities of output, which then declines as the level of production increases--the more output increases, the more average fixed cost declines. Why this occurs is that a given fixed cost is spread over an increasingly larger quantity of output and as such, firms can profitably charge a lower price with increased output.

7 0
3 years ago
In 2019, Alliant Corporation acquired Centerpoint Inc. for $352 million, of which $62 million was allocated to goodwill. At the
Komok [63]

Answer:

1. $34 million

2. $0

Explanation:

Given that,

Fair value of Centerpoint Inc = $256 million

Book value of Centerpoint's net assets (excluding goodwill) = $228 million

Book value of Centerpoint's net assets (including goodwill) = 290 million

1. Actual Value of Goodwill:

= Fair Value of Centrepoint Inc. - Book Value of Net assets (excluding goodwill)

= $256 million - 228 million

= $28 million

Loss on Impairment of Goodwill:

= Goodwill recorded - Actual value of goodwill

= $62 million - $28 million

= $34 million

2. In this case Fair value of ($318 million) is more than Book value ($290 million) then there will be no Impairment Loss.

It means that the loss on Impairment of Goodwill = $0.

6 0
2 years ago
A company sells 800 units at $16 each, has variable costs of $12 per unit, and fixed costs of $1,200. Income is $
Inessa05 [86]

Assuming a company sells 800 units at $16 each, has variable costs of $12 per unit. The after-tax income is $1,200.

<h3>After-tax income</h3>

Using this formula

After-tax income=(Selling units×Selling price)-[(Variable costs×Selling price)+Fixed costs]×(1- tax rate)

Let plug in the formula

After-tax income=(800 units× $16 each)-[(800 units × $12 each)+$1200]×(1-.40)

After-tax income=$12,800-($9,600+$1,200)×0.60

After-tax income=$12,800-$10,800×0.60

After-tax income=$2,000×0.60

After-tax income=$1,200

Inconclusion the after-tax income is $1,200.

Learn more about after-tax income here:brainly.com/question/1775528

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2 years ago
Why is it illegal to alter the odometer on a vehicle
Lana71 [14]

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Please answer the question posted in the image
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Answer:

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