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vazorg [7]
3 years ago
8

Suppose the production function in medieval Europe is Y 5 K 0.5L0.5, where K is the amount of land and L is the amount of labor.

The economy begins with 100 units of land and 100 units of labor. Use a calculator and equations in the chapter to find a numerical answer to each of the following questions. a. How much output does the economy produce? b. What are the wage and the rental price of land? c. What share of output does labor receive?
Business
1 answer:
Sonbull [250]3 years ago
5 0

Answer:

a) Y = 500

b) Wages: 2.5

   Rental price: 2.5

   

c) labor Share of output: 0.370511713 = 37.05%

Explanation:

Y = 4K^{0.5} \times L^{0.5}

if K = 100 and L = 100

Y = 5(100)^{0.5} \times (100)^{0.5}

Y = 50 \times 10

Y = 500

wages: marginal product of labor = value of an extra unit of labor

dY/dL (slope of the income function considering K constant while L variable)

ax^b = bax^{b-1}

Y = 5K^{0.5} \times L^{0.5}

Y' = 5K^{0.5} \times 0.5 L^{-0.5}

Y' = 2.5K^{0.5} \times L^{-0.5}

Y' = 2.5(\frac{K}{L})^{0.5}

With K = 100 and L = 100

Y' = 2.5(\frac{(100)}{(100)})^{0.5}

Y' = 2.5

rental: marginal product of land = value of an extra unit of land

dY/dK (slope of the income function considering K variable while L constant)

Y = 5K^{0.5} \times L^{0.5}

Y' = 2.5K^{-0.5} \times L^{0.5}

Y' = 2.5(\frac{L}{K})^{0.5}

L = 100 K = 100

Y' = 2.5(\frac{100}{100})^{0.5}

Y' = 2.5

c) we use logarithmic properties:

Y = 50 \times 10

log500 = log(50 \times 10)

log500 = log50 + log10

50 was the land while 10 the labor

2.698970004 = 1.698970004 + 1

share of output to labor: 1/2.698970004  = 0.370511713

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Import tariffs generally ________ the output of domestic producers of the affected products and also _________ the output of dom
Lady_Fox [76]

Answer:

increase , decrease

Explanation:

Import tariffs are amount levied on the imports of goods. tariffs makes imports more expensive and discourages import.

if an import tariff is in place for a particular good, the import of that good would reduce and this would increase domestic producers to produce more of the good to meet the demand of the good. so output of domestic producers would increase.

Because output is consumed domestically, exports would reduce.

6 0
3 years ago
An investment earns 35% the first year, earns 40% the second year, and loses 37% the third year. The total compound return over
svetoff [14.1K]

Answer:

19.07%

Explanation:

The computation of the total compound return over the 3 years is shown below:

= (1 + investment percentage earned in first year) × (1 +  investment percentage earned in second year)  × (1 +  investment percentage loss in second year)

= (1 + 0.35) × (1 + 0.40) × (1 - 0.37)

= 1.35 × 1.40 × 0.63

= 1.1907

= 19.07%

7 0
3 years ago
Equipment with an original cost of $75,000 and accumulated depreciation of $20,000 was sold at a loss of $7,000. As a result of
Tcecarenko [31]

Answer:

O increase by $48,000

Explanation:

A loss is made on disposal of an asset when the amount received from the disposal is lower than the carrying amount of the asset. The carrying amount or net book value of an asset is the difference between the cost of the asset and its accumulated depreciation.

Hence

Carrying amount = $75,000 - $20,000

= $55,000

Let the amount received on disposal be K

K - $55,000 = -$7,000

K = $55,000 - $7,000

= $48,000

This is the amount received from the disposal and it represents an increase in cash.

7 0
3 years ago
The purpose of preparing a direct materials budget is to ________. multiple choice 1 allocate the cost of raw materials to produ
Eduardwww [97]

Answer:

1. estimate the quantity of raw materials to be purchased.

2. ending raw materials inventory for the last period.

Explanation:

A budget is a financial plan used for the estimation of revenue and expenditures of an individual, organization or government for a specified period of time, often one year. Budgets are usually compiled, analyzed and re-evaluated on periodic basis.

The first step of the budgeting process is to prepare a list of each type of income and expense that will be part of the budget.

The final step by the management of an organization in the financial decision making process is making necessary adjustments to the budget.

The benefits of having a budget is that it aids in setting goals, earmarking revenues and resources, measuring outcomes and planning against contingencies.

1. The purpose of preparing a direct materials budget is to estimate the quantity of raw materials to be purchased. This includes the raw materials that would be used for the manufacturing of finished goods.

2. In a direct materials budget, the desired ending raw materials inventory for the year is equal to the ending raw materials inventory for the last period.

3 0
2 years ago
Three individuals, Mary, Jack and Helen, make up the total demand for donuts per month in a particular market.
Paraphin [41]

The market demand curve would be 1000 - 0.125Q.

<h3>How to calculate the demand curve?</h3>

It should be noted that the market demand curve will be the sum of the individual demand curve.

The market demand curve will be calculated thus. Mary’s demand curve is 5P = 5000 – 1.25QM. Here, p = 1000 - 0.25QM

Jack’s demand curve for donuts is given by P = 1000 – 0.5QJ. Helen’s demand curve is given by QH = 2000 – 2P. This will be P = 1000 - 0.5QH.

The slope will be:

= 0.5 × 0.25

= 0.15

The demand function of Jack and Helen are the same. The demand curve will be 1000 - 0.125Q.

Learn more about demand on:

brainly.com/question/1245771

#SPJ1

5 0
2 years ago
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