Question

In: Economics

Andi recently opened a car wash business on Jalan Margonda Raya, Depok. Andi only uses two...

Andi recently opened a car wash business on Jalan Margonda Raya, Depok. Andi only uses two types of input, namely labor and equipment (automatic car washer). Labor costs and machine costs are IDR 120,000.00/day and IDR 200,000.00/day respectively. The following is information on the number of workers and cars (output) washed per day at Andi's workshop:

Number

of

Labor

Number of

Machines

Output

Marginal

Product of

Labor

Labor Costs

(IDR)

Machine Cost

(IDR)

Total Cost

(IDR)

1

2

5

2

2

10

3

2

20

4

2

35

5

2

55

6

2

70

7

2

80

Answer the questions below.

a. Complete the table above!

b. Also calculate the productivity per worker. What is your conclusion? Explain!

c. When does Ali's workshop experience a diminishing marginal product of labor? Explain!

d. Based on the information from the table above (and some additional information), draw the following curves:

i. Total Product, Marginal Product of Labor, Average Product of Labor (in one chart). Explain the relationship between curves!

ii. Average variable costs, Average fixed costs, Marginal costs and Average total costs (in one graph). Explain the relationship between curves!

e. Explain the relationship between the curves in points d (i) and (ii) above!

f. Does Andi's workshop experience economies of scale or diseconomies of

scale? Explain what these two concepts mean!

Solutions

Expert Solution

a)

Labor Machines Output Marginal product of labor Average Product of labor Labor cost Machine Total Cost Total cost
1 2 5 5 5.00        120,000                     200,000              320,000
2 2 10 5 5.00        240,000                     200,000              440,000
3 2 20 10 6.67        360,000                     200,000              560,000
4 2 35 15 8.75        480,000                     200,000              680,000
5 2 55 20 11.00        600,000                     200,000              800,000
6 2 70 15 11.67        720,000                     200,000              920,000
7 2 80 10 11.43        840,000                     200,000          1,040,000

b) Productivity per worker (Output / Labor) is nothing but average product of labor which is calculated in the table below which shows that average product of labor is rising till output level of 7.

c) Diminishing marginal returns of labor start from output level of 5 because marginal product of labor start falling after that level of output.

d)

Total Output Total cost Average variable cost Average fixed cost Marginal cost Average total cost
5              320,000                      24,000.00                40,000.00               64,000.00
10              440,000                      24,000.00                20,000.00     120,000.00               44,000.00
20              560,000                      18,000.00                10,000.00     120,000.00               28,000.00
35              680,000                      13,714.29                  5,714.29     120,000.00               19,428.57
55              800,000                      10,909.09                  3,636.36     120,000.00               14,545.45
70              920,000                      10,285.71                  2,857.14     120,000.00               13,142.86
80          1,040,000                      10,500.00                  2,500.00     120,000.00               13,000.00


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