Part One Question 1 We are in a specific factor world, and we have two factors of production: labour (L) and Capital (K). We have one country, Poland, and one good, vodka. The labour market is competitive and wages are set accordingly. Given the (fixed) supply of capital, the Marginal Productivity of labour is as follows: Workers Employed 1 2 3 4 5 6 7 8 9 10 11 12 MPL of last worker added in the vodka sector 1100 1000 900 800 700 600 500 400 300 200 100 50 (a) Draw the Marginal Productivity of labour curve. At a wage of $2000 and vodka price of $4, how many units of labour will be employed? Explain. What is the total wage bill (total payment to labour) and the rent paid to capital?

Principles of Economics (MindTap Course List)
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Author:N. Gregory Mankiw
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Chapter18: The Markets For The Factor Of Production
Section: Chapter Questions
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Part One
Question 1
We are in a specific factor world, and we have two factors of production: labour (L)
and Capital (K). We have one country, Poland, and one good, vodka. The labour
market is competitive and wages are set accordingly. Given the (fixed) supply of
capital, the Marginal Productivity of labour is as follows:
Workers Employed
1
2
3
4
5
6
7
8
9
10
11
12
MPL of last worker
added in the vodka
sector
1100
1000
900
800
700
600
500
400
300
200
100
50
(a) Draw the Marginal Productivity of labour curve. At a wage of $2000 and vodka
price of $4, how many units of labour will be employed? Explain. What is the total
wage bill (total payment to labour) and the rent paid to capital?
(b) Suppose that wages increase from $2000 to $2400. Calculate the change to the
total wage bill and the change in capital rents. Who are the winners and losers from
this wage change?
See next page
Transcribed Image Text:Part One Question 1 We are in a specific factor world, and we have two factors of production: labour (L) and Capital (K). We have one country, Poland, and one good, vodka. The labour market is competitive and wages are set accordingly. Given the (fixed) supply of capital, the Marginal Productivity of labour is as follows: Workers Employed 1 2 3 4 5 6 7 8 9 10 11 12 MPL of last worker added in the vodka sector 1100 1000 900 800 700 600 500 400 300 200 100 50 (a) Draw the Marginal Productivity of labour curve. At a wage of $2000 and vodka price of $4, how many units of labour will be employed? Explain. What is the total wage bill (total payment to labour) and the rent paid to capital? (b) Suppose that wages increase from $2000 to $2400. Calculate the change to the total wage bill and the change in capital rents. Who are the winners and losers from this wage change? See next page
From now on suppose that Poland produces not only vodka, but also olives.
(c) The factors of production for olives are labour (L) and Land (T). Given the (fixed)
supply of land, the Marginal Productivity of labour is the same as in the table for the
vodka sector. Assume that initially the price of vodka (Pv), is equal to the price of
olives (Po). Argue that employment is equalized across industries. What is the effect
of a fall in the relative price of vodka (Pv/Po) on the allocation of labour and on
output? Are there both winners and losers from such a price change? Explain.
(d) Suppose that the world relative price of vodka (Pv/Po)w is lower than the relative
price in Poland (Pv/Po). What will Poland decide to export and to import? Who
definitely gains and loses from trade?
Transcribed Image Text:From now on suppose that Poland produces not only vodka, but also olives. (c) The factors of production for olives are labour (L) and Land (T). Given the (fixed) supply of land, the Marginal Productivity of labour is the same as in the table for the vodka sector. Assume that initially the price of vodka (Pv), is equal to the price of olives (Po). Argue that employment is equalized across industries. What is the effect of a fall in the relative price of vodka (Pv/Po) on the allocation of labour and on output? Are there both winners and losers from such a price change? Explain. (d) Suppose that the world relative price of vodka (Pv/Po)w is lower than the relative price in Poland (Pv/Po). What will Poland decide to export and to import? Who definitely gains and loses from trade?
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