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Pavel [41]
3 years ago
14

The production function for earthquake detectors​ (Q) is given as​ follows: Q​ = 4K​1/2L​1/2 where K is the amount of capital em

ployed and L is the amount of labor employed. The price of​ capital, PK​, is​ $18 and the price of​ labor, PL​, is​ $2. Refer to Scenario 2. Suppose that you receive an order for 60 earthquake detectors. How much labor will you use to minimize the cost of 60 earthquake​ detectors?

Business
2 answers:
Ksivusya [100]3 years ago
3 0

Answer:

k= 5 units

L = 45 units

Explanation:

check the picture attached for full explanation and i hope it helps you

Paladinen [302]3 years ago
3 0

Answer:

Answer ; MC = 6

Explanation:

Q = U√K  √L

MRTS = MPL/MPK = <u>U√K x 1/2√L</u>

                                 U√L x 1/2 √K       = K/L

At optimum,

MRTSS = PL/PK

             = K/L  = 2/18 = 1/9

             L= 9K

Q= U√K√L

60 =U√K √9K

60 = U x 3 x K

K=5

L=9 X 5 = 45

TL= wl + rk = PL x L+ PK x K

= 2L + 18K

= 2x Q²/16K + 18 x Q²/16L

Q²/8K+ 9Q²/8L

=Q²/8 x 5+ 9Q²/8x 45 =1/40 x 2Q²

MC= Q²/20 = 2Q/20 = Q/10 =60/10 = 6

MC = 6

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Larned Corporation recorded the following transactions for the just completed month.
lara [203]

Answer:

1. Dr Raw materials $80,000

Cr Account payable $80,000

2. Dr Work-in-Process $62,000

Dr Manufacturing overhead $9,000

Cr Raw materials $71,000

3. Dr Work-in-Process $101,000

Dr Manufacturing overhead $11,000

Cr Cash $112,000

4. Dr Manufacturing overhead $175,000

Cr Accumulated depreciation $175,000

Explanation:

Preparation of Journal entries

1. Based on the information given we were told that the amount of$80,000 in raw materials were been purchased on account which means that the Journal entry will be :

Dr Raw materials $80,000

Cr Account payable $80,000

(Raw materials purchased on account)

2. Based on the information given we were told that the amount of $71,000 in raw materials were been used in production in which the amount of $62,000 was for used for direct materials while the remaining was for indirect materials which means that the Journal entry will be:

Dr Work-in-Process $62,000

Dr Manufacturing overhead $9,000

(71,000-62,000)

Cr Raw materials $71,000

(raw material charged to production)

3. Based on the information given we were told that the Total labor wages amount of $112,000 were been paid in cash in which the amount of $101,000 was for direct labor while the remaining was for indirect labor which means that the Journal entry will be :

Dr Work-in-Process $101,000

Dr Manufacturing overhead $11,000

(112,000-101,000)

Cr Cash $112,000

(Wages charged to production)

4. Based on the information given we were told that the Depreciation of the amount of $175,000 was incurred on factory equipment which means that the Journal entry will be :

Dr Manufacturing overhead $175,000

Cr Accumulated depreciation $175,000

(Depreciation charged)

4 0
3 years ago
Using the following information, what is the amount of net income? Purchases $ 33,114 Selling expenses $ 677 Merchandise invento
NeX [460]

The net income is $32,961

<u>Explanation</u>:

To calculate the net income, we will classify the transaction into income and expenses, and compute the difference between their totals;

Income;

Merchandise inventory Sept. 1     =  $  7,740

Merchandise inventory Sept. 30  = $ 11,372

                                         Sales     =  $ 50,575

                                        Total      =  $ 69,687

Expenses;

Purchases                             = $ 33,114

Selling expenses                  = $     677

Administrative expense       = $     665

Rent Revenue                       = $    1,118

Interest expense                  = $     1,152

Total                                      = $  36,726

Net income = Total income - Total expenses

                    = 69,687 - 36,716

                    = $ 32,961

     

4 0
3 years ago
Which statement best explains how manufacturers contributed to the economic slow down that lead to the Great Depression
Alex_Xolod [135]
They were overproducing goods
7 0
3 years ago
Which of the following is not an example of a liability?
finlep [7]
D , because liability means to be responsible for something, especially by law.
3 0
2 years ago
Read 2 more answers
You are given the following information for Watson Power Co. Assume the company’s tax rate is 23 percent. Debt: 8,000 5.7 percen
____ [38]

Answer:

the company's WACC is 10.04%

Explanation:

Weighted Average Cost of Capital (WACC) is the minimum return that a project must offer before it can be accepted. It shows the risk of the company.

<em>Capital Source           Market Value        Weight           Cost Total     Weight</em>  

Debt                            $8,400,000            27.71%             4.389 %      1.22%

Common stock           $24,190,000           71.17%              12.2%         8.68%

Preferred stock           $1,400,000              4.12%               3.5%         0.14%

Total                          $ 33,990,000          100.00%                            10.04%

<u><em>Calculation of Market Value and Cost of Debt</em></u>

Market Value = 8,000×($1,000×105%) = $8,400,000

Cost of Debt = interest × (1 - tax rate)

                      = 5.7% × ( 1-0.23)

                      =  4.389 %

<u><em>Calculation of Market Value and Cost of </em></u><u>Common stock</u>

Market Value = 410,000× $59 = $24,190,000

Cost of Common stock = Risk free Rate + Beta × Market Premium

                                       = 4.5% + 1.10× 7%

                                       = 12.2%

<u><em>Calculation of Market Value and Cost of </em></u><u>Common stock</u>

Market Value = 17,500× $80 = $1,400,000

Cost of Preferred stock = 3.5%

7 0
3 years ago
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