Question

In: Economics

If you owned a business and labour is the only variable input, explain: a) using numerical...

If you owned a business and labour is the only variable input, explain:

a) using numerical examples, how decreasing marginal product of labour will affect your marginal returns and marginal cost.   2 Marks

b) how a change in marginal cost can affect your average total cost and your profit.  

Solutions

Expert Solution

a) Assume labor is the only input and one labor cost you $10 per hour. You can see from the below table as labor rises, total product rises while marginal prooduct starts falling (Diminishing marginal return of labor) with constant marginal cost of hiring labor.

Labor Cost Marginal Cost Total Product Marginal Product
1 10 - 10 -
2 20 10 20 10
3 30 10 29 9
4 40 10 37 8
5 50 10 44 7
6 60 10 50 6
7 70 10 55 5
8 80 10 59 4
9 90 10 63 4
10 100 10 66 3

b) Profit maximizes when marginal cost = marginal revenue. If marginal cost rises, producer will produce at a point where output produced is less than social optimum output and reduce overall profit level. On the other hand, if marginal cost falls, producer will produce more of the goods which maximizes profit level and raise overall profit.

As average total cost = total cost / output

If Marginal cost rises, gap between two consecutive total cost will rise which will raise average total cost.

Labor Cost Marginal Cost Total Product Marginal Product Average Total Cost Cost Marginal Cost Average Total Cost
1 10 - 10 - 10 20 - 20
2 20 10 20 10 10 40 20 20
3 30 10 29 9 10 60 20 20
4 40 10 37 8 10 80 20 20
5 50 10 44 7 10 100 20 20
6 60 10 50 6 10 120 20 20
7 70 10 55 5 10 140 20 20
8 80 10 59 4 10 160 20 20
9 90 10 63 4 10 180 20 20
10 100 10 66 3 10 200 20 20

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