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Homework answers / question archive / Assume that a firm has a plant of fixed size and that it can vary its output only by varying the amount of labour it employs

Assume that a firm has a plant of fixed size and that it can vary its output only by varying the amount of labour it employs

Economics

Assume that a firm has a plant of fixed size and that it can vary its output only by varying the amount of labour it employs. The table below shows the relationships among the unit of labour employed (L) and the total product (TP) of the firm.

 

L

TP

AP

MP

TFC

TVC

TC

AVC

ATC

MC

0

0

-

-

$_____

$_____

$_____

-

-

-

1

20

_____

_____

_____

_____

_____

$_____

$_____

$_____

2

55

_____

_____

_____

_____

_____

_____

_____

_____

3

100

_____

_____

_____

_____

_____

_____

_____

_____

4

150

_____

_____

_____

_____

_____

_____

_____

_____

5

200

_____

_____

_____

_____

_____

_____

_____

_____

6

230

_____

_____

_____

_____

_____

_____

_____

_____

7

250

_____

_____

_____

_____

_____

_____

_____

_____

8

263

_____

_____

_____

_____

_____

_____

_____

_____

9

270

_____

_____

_____

_____

_____

_____

_____

_____

10

275

_____

_____

_____

_____

_____

_____

_____

_____

 

 

(i)         Compute the average product of labour (AP) and the marginal product of labour (MP) and enter these figures in the table.                                                                             (1 mark)

(ii)        Assume that labour is the only variable input in the production, the price of labour is $200 per unit and the Fixed cost of the firm is $100. Complete the above table by computing the total fixed cost (TFC), total variable cost (TVC), total cost (TC), average variable cost (AVC), average total cost (ATC) and marginal cost (MC) for each quantity of labour the firm might employ.

(3 marks)

(iii)       Using the output and costs data that you have computed above, sketch and describe the relationship between labour productivity curves and cost curves. What specific law of microeconomics can best explain this relationship? (4 marks)

(iv)       The government is proposing to increase the level of minimum wage rate for workers. If you are the owner of this firm, what would be your concern on the issue.                       (1 mark)

c) Majority of businesses are operating in a monopolistically competitive market. During economic crisis where demand for products sold by monopolistically competitive firms are declining, what two practical actions that businesses can do to maintain their sales? Provide specific examples in your answer.                                                                                  (3 marks)

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1) The data is given about the labor and its product.
Average Product = Total Product / Labor
L =1,
20 / 1 = 20
L = 2,
55 / 2 = 27.50
Marginal Product = Change in Total Product / Change in Labor
L = 1
(20 - 0) / (1 - 0) = 20
L = 2
(55 - 20) / (2 - 1) = 35

2) Fixed cost is given as $100 while variable cost is $200 per labor unit.
TVC = Per Unit Variable Cost * Total Units
TC = Total Fixed Cost + Total Variable Cost
ATC = Total Cost / Total Product
AVC = Total Variable Cost / Total Product
Marginal Cost = Change in Total Cost / Change in Total Product

Labor TP AP MP TFC TVC TC AVC ATC MC
0 0     100 0 100      
1 20 20.00 20 100 200 300 10.00 15.00 10.00
2 55 27.50 35 100 400 500 7.27 9.09 5.71
3 100 33.33 45 100 600 700 6.00 7.00 4.44
4 150 37.50 50 100 800 900 5.33 6.00 4.00
5 200 40.00 50 100 1000 1100 5.00 5.50 4.00
6 230 38.33 30 100 1200 1300 5.22 5.65 6.67
7 250 35.71 20 100 1400 1500 5.60 6.00 10.00
8 263 32.88 13 100 1600 1700 6.08 6.46 15.38
9 270 30.00 7 100 1800 1900 6.67 7.04 28.57
10 275 27.50 5 100 2000 2100 7.27 7.64 40.00

3) We can create a chart of cost curves against cost and output
 

We can observe that average total cost decreases with the increase in output and so as the average variable cost up to a point. However, the AVC and ATC start to rise and marginal cost rises notably as the law of diminishing marginal utility comes in to play.

4) The minimum wage law will increase the wage rate and that means the variable cost will rise for the business. This is a negative development for the business as it will raise the input cost and could lower the profit.