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3 years ago

Consider the following production function: Q=(L+K)1/2

Business

1 answer:

boyakko [2]3 years ago

8 0

Answer:

(a) MPL = 1/2

(b) MPK = 1/2

(d) APK = = L/2K+ 1/2

(e) TRSL,K = 1

Explanation:

Q = (L+K)1/2 = L/2 + K/2 ……………………………………………………. (1)

Where Q is the total output, L is Labour and K is capital

(a) What is the Marginal Product of Labor (MPL)?

To get MPL, differentiate equation (1) with respect to L as follows:

MPL = dQ/dL = 1/2

(b) What is the Marginal Product of Capital (MPK)?

To get MPK, differentiate equation with respect to K as follows:

MPK = dQ/dL = 1/2

Both MPL and MPK are diminishing since each of them is 1/2 which less than one.

(c) What is the Average Product of Labor (APL)?

To calculate APL, divide equation (1) by L as follows:

APL = Q/L = (L/2)/L + (K/2)/L

= 1/2+ K/2L

(d) What is the Average Product of Capital (MPK)?

To calculate APK, divide equation (1) by K as follows:

APL = Q/K = (L/2)/K + (K/2)/K

= L/2K+ 1/2

(e) What is the TRSL,K ?

TRSL,K implies Technical Rate of Subsitution of L for K = MPK/MPL

TRSL,K = MPK/MPL

Since both MPK and MPL are each equal to 1/2 as calculated under (a) and (b) above, we substitute for them in the TRSL,K as follows:

TRSL,K = MPK/MPL = (1/2)/(1/2) = 1

(e.1.) Is the absolute value of TRSL,K diminishing in L or K?

No, it neither diminishing in L nor K since the answer is equal to 1.

(e.2.) Are there constant, decreasing, or increasing returns to scale?

Since the TRSL,K is equal to 1, it implies there is a constant return to scale.

I wish you the best.

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If the domestic demand curve is Equal 20p Superscript negative 0.5, the domestic supply curve is Equal 5p Superscript 0.5, and

pishuonlain [190]

Answer:

$52

$ 1.33

consumer price will increase
consumer surplus will decrease
import will decrease
reduced export
portends gloom for the general outlook for the economy

Explanation:

Given domestic demand curve, S(p) = 20p⁻⁰°⁵

the domestic supply curve S(p)= 5p⁰°⁵

world price is $7.00

using calculus to determine the changes in consumer surplus

by consumer surplus means in this case supply exceeds demand

we establish the equilibrium point where the supply and demand functions meet or are equal

solving 20p⁻⁰°⁵ = 5p⁰°⁵

20/5 = p⁰°⁵/p⁻⁰°⁵

4 = p⁰°⁵⁺⁰°⁵

4= p = q which is the quantity produced

consumer surplus = maximum price willing to pay - Actual price

= ∫⁴₀ dp dp - p* q

= ∫⁴₀20p⁻⁰°⁵ dp- 7* 4

= 20∫⁴₀p⁻⁰°⁵ dp -28

= 20/0.5 p⁰°⁵- 28

= 40 *4⁰°⁵ - 28 = $52

producer surplus = it is a measure of producer welfare. It is measured as the difference between what producers are willing and able to supply a good for and the price they actually receive

thus producer surplus = p* q - ∫⁴₀ d(s) dp

= 7 * 4 - ∫⁴₀ 5p⁰°⁵ dp

= 28 - 5 ∫⁴₀ p⁰°⁵ dp

= 28 -5 *2/3 p¹°⁵

= 28 -5 *2/3 4¹°⁵

=$ 1.33

welfare from eliminating free trade

consumer price will increase
consumer surplus will decrease
import will decrease
reduced exports

portends gloom for the general outlook for the economy

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4 years ago

John’s Limited manufactures screws that are used in the manufacture of tables. The table manufacturers require that the screws m

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3 years ago

Explain where in the U.S. balance of payments an entry would be recorded for each of the following:

aleksandrvk [35]

Answer:

a. This a capital inflow and it will be recorded in the capital account in the BOP in the BOP.

b. This is an imports of merchandise and it will be recorded under current account in the BOP.

c. This is also an import of merchandise and it will be recorded under current in the BOP.

d. This is an exports of merchandise and it will be recorded under current in the BOP.

e. This an outflow of capital and it will be recorded under capital accounts in the BOP.

f. This is a purchase or import of service and it will be recorded under current account in BOP.

g. This is a sale or export of service and it will be recorded under current account in the BOP.

Explanation:

Balance of Payment (BOP) refers to the statement in which every monetary transactions made between residents of a country and the rest of the world during a specific period are recorded.

Balance of payments records the inflows and outflows of capital which monitors under capital account, imports and exports of merchandise and service which are monitor under current account, and financial transactions.

Therefore, we have:

a. A Hong Kong financier buys some U.S. corporate stock.

This a capital inflow and it will be recorded in the capital account in the BOP in the BOP.

b. A U.S. tourist in Paris buys some perfume to take home.

This is an imports of merchandise and it will be recorded under current account in the BOP.

c. A Japanese company sells machinery to a pineapple company in Hawaii.

This is also an import of merchandise and it will be recorded under current in the BOP.

d. U.S. farmers make a gift of food to starving children in Ethiopia

This is an exports of merchandise and it will be recorded under current in the BOP.

e. The U.S. Treasury sells a bond to a Saudi Arabian prince.

This an outflow of capital and it will be recorded under capital accounts in the BOP.

f. A U.S. tourist flies to France on Air France.

This is a purchase or import of service and it will be recorded under current account in BOP.

g. A U.S. company sells insurance to a foreign firm.

This is a sale or export of service and it will be recorded under current account in the BOP.

3 0

3 years ago

On December 31, 2018, Gardner Company holds debt securities classified as HTM with a face amount of $100,000 and a carrying valu

Sunny_sXe [5.5K]

Answer:

$2,850

Explanation:

Given the following :

Face value of security = $100,000

Carrying value = $95,000

Effective interest rate = 6%

Interest paid semianually = $2500

The effective interest revenue recognized for the six months ended December 31, 2018 is:

IF effective interest rate = 6%

Semiannual interest = 6% / 2 = 3%

Therefore effective interest revenue for six months will be the product of the carrying value and the interest rate within the six months period :

3% = 0.03

0.03 * $95,000 = $2,850

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3 years ago

Consider the following scenario:

Helen [10]

Answer: 1. Charities

2. Government action the only viable solution

Explanation:

Externalities are the resultant additional effects that are experienced by others as a result of actions by an economic agent who does not bear the extra aformentioned cost or benefit that their actions bring about.

1. Private Solutions to Externalities include any solution independent of the government.

The above Private Solution is Charities because it was a Non-profit Environmental Organization that dealt with the lobbying for the reduction to be acted upon by state agents. These types of organisations are usually Charities.

2. If it is shown that the potential gains are viewed to be quite high as in this case then negotiating with the polluters might not work. In this case Government Intervention is needed to force the polluters to adhere to rules and regulations.

8 0

4 years ago