Question

suppose a competitive firm has the following cost: Q 0 1 2 3 4 5 6...

suppose a competitive firm has the following cost:

Q 0 1 2 3 4 5 6 7 8 9

TC ($) 50 54 62 74 90 110 134 162 194 230

(Q: output ; TC: total cost)

This cost table is related to a competitive firm.

Q TC

0 30

1 50

2 66

3 80

4 90

5 100

6 114

7 131.2

8 150

9 190

NOTE: FIND TFC, TVC ,AVC, ATC, MC

Using this table above, answer the following questions.

6 Complete the table above.

7 Plot ATC, AVC, and MC in one diagram.

8 What is the shutdown price?

9 At a price of $18.8 how much should the firm produce to maximize profit?

10 At a price of $18.8 calculate its profit.

please show mw how you got the result not only the answer. thank you

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Answer #1

6)

Quantity TC TVC TFC AVC ATC MC = ΔTC / ΔQ
0 30 0 30
1 50 20.00 30 20.00 50.00 20.00
2 66 36.00 30 18.00 33.00 16.00
3 80 50.00 30 16.67 26.67 14.00
4 90 60.00 30 15.00 22.50 10.00
5 100 70.00 30 14.00 20.00 10.00
6 114 84.00 30 14.00 19.00 14.00
7 131.2 101.20 30 14.46 18.74 17.20
8 150 120.00 30 15.00 18.75 18.80
9 190 160.00 30 17.78 21.11 40.00

7) 60 50 40 Profit AVCATC,MC 30 ATC AVC +MC = ATC / 40 20 LO 0 0 2 4 6 8 10 Quantity

8) A perfectly competitive firm will shutdown if P<AVC. Thus shutdown price is at the minimum AVC where MC=AVC. Thus the required shutdown price is $14.

9) A perfectly competitive firm will produce at the output level where P=MC in order to maximize profit. Thus the required level of output at P = $18.80 is 8 units of output.

10) economic profit = ( P-ATC)*Q
= (18.80 - 18.75)*8 [At P =$18.80 required ATC= $18.75]
= $ 0.4
Hence,
the required economic profit at P=$18.80 is $0.4

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