Question

In: Economics

We have been using the same set of data (Data Set One) in the notes to...

We have been using the same set of data (Data Set One) in the notes to illustrate production and costs. I have provided Data Set One in both tables below. When costs were calculated in the notes, fixed costs were $200. By using the term fixed costs economists are only referring to the fact that a firm must pay this expense no matter how much output it produces or sells. An example of a fixed cost could be the rent a small store pays on the space it rents. The rent will be the same for the duration of the lease, no matter if the store sells I item or 500 items. It is helpful to know what will happen to costs if the price of the variable or fixed resource changes.

PROBLEM ONE - Using the information in data set one, which I have included in the table below, recalculate total cost, fixed cost, variable cost, marginal cost, average total cost, average variable cost and average fixed costs if the price of the fixed input (the small stores rent) is not $200 but $220. A new lease may have caused the rent to increase. I have created Table 1 for you to put your answers in. Assume the price of the variable input, labor, is still $50 per unit. When fixed costs change which other costs will increase? Compare the costs you calculate for table one to the costs calculated in the notes in chapter 7 to find the answer.

TABLE ONE FOR ANSWERS TO PROBLEM ONE

Units of Labor

Total

Product

(output)

FC

VC

TC

MC

ATC

AVC

AFC

0

0

1

3

2

7

3

12

4

16

5

19

6

21

Problem Two - Using the information in data set one, which I have included in the table below, recalculate total cost, fixed cost, variable cost, marginal cost, average total cost, average variable cost and average fixed costs if the price of the variable input (which is labor in this example) is not $50 but $55. I have created Table 2 for you to put your answers in. Assume that fixed costs remain at $220. When the price of a variable input changes which other costs will increase? Compare the costs you calculate for table two to the costs calculated in table one to find your answers.

TABLE TWO FOR ANSWERS TO PROBLEM TWO

Units of Labor

Total

Product

(output)

FC

VC

TC

MC

ATC

AVC

AFC

0

0

1

3

2

7

3

12

4

16

5

19

6

21

Solutions

Expert Solution

1.

Labour TP FC VC TC MC ATC AVC AFC
0 0 220 0 220 nil nil nil nil
1 3 220 50 270 16.67 90 16.67 73.33
2 7 220 100 320 12.5 45.71 14.29 31.43
3 12 220 150 370 10 30.83 12.50 18.33
4 16 220 200 420 12.5 26.25 12.50 13.75
5 19 220 250 470 16.67 24.74 13.16 11.58
6 21 220 300 520 25 24.76 14.29 10.48

TC = FC + VC.

MC = change in TC/change TP.

AVC = VC/TP.

ATC = TC/TP.

AFC = FC/TP.

2.

Labour TP FC VC TC MC ATC AVC AFC
0 0 220 0 220 nil nil nil nil
1 3 220 55 275 18.33 91.67 18.33 73.33
2 7 220 110 330 13.75 47.14 15.71 31.43
3 12 220 165 385 11 32.08 13.75 18.33
4 16 220 220 440 13.75 27.50 13.75 13.75
5 19 220 275 495 18.33 26.05 14.47 11.58
6 21 220 330 550 27.5 26.19 15.71 10.48

AFC, and FC would not change.

Rest all other costs, would be affected becuase of change in variable cost.


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