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A local snow cone business sells snow cones in one size for $5. It has the follo

ID: 1202212 • Letter: A

Question

A local snow cone business sells snow cones in one size for $5. It has the following cost and output structure per hour.

Output (cones per hour)

Total Cost (per hour)

0

$40

10

    85

20

120

30

145

40

160

50

195

60

245

70

300

80

370

a) Calculate the total revenue for the business at each rate of output. ($500)

b) Calculate the total profit for the business at each rate of output. ($500)

c) Is the business operating in the short run or the long run? ($500)

d) Calculate the profit maximizing rate of output using the MR = MC rule. (Note: to do this you should first compute the marginal revenue and marginal cost from the table.) ($500)

Answer:

Output (cones per hour)

TR

Total Cost (per hour)

Profit

MR

MC

0

10

20

30

40

50

60

70

80

Output (cones per hour)

Total Cost (per hour)

0

$40

10

    85

20

120

30

145

40

160

50

195

60

245

70

300

80

370

Explanation / Answer

Output (cones per hour)

TR(P*Q)

P = $5

($)

Total Cost (per hour) ($)

Profit ($)

MR($)

MC($)

0

0

40

-40

-

-

10

50

85

-35

50

45

20

100

120

-20

50

35

30

150

145

5

50

25

40

200

160

40

50

15

50

250

195

55

50

35

60

300

245

55

50

50

70

350

300

50

50

55

80

400

370

30

50

70

profit maximizing rate of output using the MR = MC rule is: 60 .

Output (cones per hour)

TR(P*Q)

P = $5

($)

Total Cost (per hour) ($)

Profit ($)

MR($)

MC($)

0

0

40

-40

-

-

10

50

85

-35

50

45

20

100

120

-20

50

35

30

150

145

5

50

25

40

200

160

40

50

15

50

250

195

55

50

35

60

300

245

55

50

50

70

350

300

50

50

55

80

400

370

30

50

70

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