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NEED HELP WITH B & C 1. (42 total points) Suppose that a monopolistically compet

ID: 1096171 • Letter: N

Question

NEED HELP WITH B & C

1. (42 total points) Suppose that a monopolistically competitive firm must build a production facility in order to produce a product. The fixed cost of this facility is FC = $24. Also, the firm has constant marginal cost, MC = $3. Demand for the product that the firm produces is given by P = 27-3Q.

a) (27 points) Fill in the table below. If any of your values have decimals, you may round to only one numeral after the decimal (nearest 10th of a dollar).

Quantity of Output

Price

Total Cost

Average Total Cost

Total Revenue

Profits

1

24

27

27

24

-2

2

21

30

15

42

12

3

18

33

11

54

21

4

15

36

9

60

24

5

12

39

7.8

60

21

6

9

42

7

54

12

7

6

45

6.4

42

-3

8

3

48

6

24

-24

9

0

51

5.7

0

-51

b) (10 points) How much output will this firm produce if it maximizes profit?

c) (5 points) What price should this firm charge if it wants to maximize profit?

Thanks

Quantity of Output

Price

Total Cost

Average Total Cost

Total Revenue

Profits

1

24

27

27

24

-2

2

21

30

15

42

12

3

18

33

11

54

21

4

15

36

9

60

24

5

12

39

7.8

60

21

6

9

42

7

54

12

7

6

45

6.4

42

-3

8

3

48

6

24

-24

9

0

51

5.7

0

-51

Explanation / Answer

Quantity of Output

Price

Total Cost

Average Total Cost

Total Revenue

Profits

Marginal revenue

Marginal average cost

1

24

27

27

24

-2

-

-

2

21

30

15

42

12

18

-12

3

18

33

11

54

21

12

-4

4

15

36

9

60

24

6

-2

5

12

39

7.8

60

21

0

-1.2

6

9

42

7

54

12

-6

-.8

7

6

45

6.4

42

-3

-12

-.7

8

3

48

6

24

-24

-18

-.4

9

0

51

5.7

0

-51

-24

-.3

The profit maximization can be identified by a comparison of total revenue and total cost. The quantity of output that achieves the greatest difference of total revenue over total cost is profit maximization.

From the above table, the maximum profit is at output quantity 4 and the price at this level of output is $ 15.

Quantity of Output

Price

Total Cost

Average Total Cost

Total Revenue

Profits

Marginal revenue

Marginal average cost

1

24

27

27

24

-2

-

-

2

21

30

15

42

12

18

-12

3

18

33

11

54

21

12

-4

4

15

36

9

60

24

6

-2

5

12

39

7.8

60

21

0

-1.2

6

9

42

7

54

12

-6

-.8

7

6

45

6.4

42

-3

-12

-.7

8

3

48

6

24

-24

-18

-.4

9

0

51

5.7

0

-51

-24

-.3