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Mangy Muddy Mutt Modifiers (M\') grooms dogs. M has a fixed capital stock, and u

ID: 1127709 • Letter: M

Question

Mangy Muddy Mutt Modifiers (M') grooms dogs. M has a fixed capital stock, and uses only one variable input, labor. Additionally, Mt sells its output and buys its labor under competitive market conditions. The price M receives for grooming services is $1.50 per dog. TOTAL DOGS GROOMED 0 30 86 150 210 260 300 328 348 364 376 UNITS OF LABOR 0 MARGINAL PHYSICAL PRODUCT OF LABOR MARGINAL REVENUE PRODUCT OF LABOR 30 56 64 60 50 40 28 20 16 12 45 84 96 90 75 60 42 30 24 18 .2 4 10 (a) Complete the table above. (b) If the competitive wage rate is $30.00 per unit of labor, how many units of labor will 3M hire? Please be sure to explain how you derived your answer

Explanation / Answer

Units of labor

No of hotdogs

Price(per hotdog)

Total Revenue

Marginal product of labor

Marginal revenue of labor

Cost of labor ($30 per labor)

Marginal cost of labor

0

0

1.5

0

1

30

1.5

45

30

45

30

30

2

86

1.5

129

56

84

60

30

3

150

1.5

225

64

96

90

30

4

210

1.5

315

60

90

120

30

5

260

1.5

390

50

75

150

30

6

300

1.5

450

40

60

180

30

7

328

1.5

492

28

42

210

30

8

348

1.5

522

20

30

240

30

9

364

1.5

546

16

24

270

30

10

376

1.5

564

12

18

300

30

If the wage rate is $30 per unit, 3M will hire 8 units of labor as at that units of labor Marginal Cost of labor=Marginal Revenue of labor.

Units of labor

No of hotdogs

Price(per hotdog)

Total Revenue

Marginal product of labor

Marginal revenue of labor

Cost of labor ($30 per labor)

Marginal cost of labor

0

0

1.5

0

1

30

1.5

45

30

45

30

30

2

86

1.5

129

56

84

60

30

3

150

1.5

225

64

96

90

30

4

210

1.5

315

60

90

120

30

5

260

1.5

390

50

75

150

30

6

300

1.5

450

40

60

180

30

7

328

1.5

492

28

42

210

30

8

348

1.5

522

20

30

240

30

9

364

1.5

546

16

24

270

30

10

376

1.5

564

12

18

300

30

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