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how to input this question in cocalc? Netflix currently has approximately 47.13

ID: 3167414 • Letter: H

Question


how to input this question in cocalc?

Netflix currently has approximately 47.13 million streaming subscribers in the U.S.1 and expe- riences an increases in the number of streaming subscribers of about 1.3 million per month2. The current price for the standard streaming service is $8.99 per month. It is estimated that Netflix will have a 23% decrease increase in new monthly subscribers for every dollar increase/decrease in the monthly cost of its streaming service 1. Find the new subscription price that maximizes the monthly revenue from new subscriptions and the maximal monthly revenue. 2. Determine the sensitivity of maximal monthly revenue from new subscriptions to the assump- tion of a 23% loss/gain of new subscribers per dollar increase/decrease. ill be imple- Netflix has recently announced that a $1 increase in its monthly subscriptions vw mented. What would be your advice to Netflix? 3.

Explanation / Answer

Current price=$8.99 per month

Current subscribers=47.13 million

If there is increase of subscription rate by x dollars; decrease in subscriber=23x percent

If there is decrease in monthly subscription rate by x $; increase in subscriber=23x percent

Current monthly revenue=47.13 million

CALCULATION OF MONTHLY REVENUE WITH DECREASE IN PRICE IS GIVEN BELOW:

A

B

C

(B-47.13)*A

Subscription

number of

Total subscription

Subscription From New Customer

Rate(Dollar)

customer(million)

Million dollar

million dollar

                        8.99

47.13

                         423.70

                        8.89

48.21399

                         428.62

                      9.64

                        8.79

49.29798

                         433.33

                    19.06

                        8.69

50.38197

                         437.82

                    28.26

                        8.59

51.46596

                         442.09

                    37.25

                        8.49

52.54995

                         446.15

                    46.02

                        8.39

53.63394

                         449.99

                    54.57

                        8.29

54.71793

                         453.61

                    62.90

                        8.19

55.80192

                         457.02

                    71.02

                        8.09

56.88591

                         460.21

                    78.93

                        7.99

57.9699

                         463.18

                    86.61

                        7.89

59.05389

                         465.94

                    94.08

                        7.79

60.13788

                         468.47

                 101.33

7.69

61.22187

470.80

108.37

7.59

62.30586

472.90

115.18

7.49

63.38985

474.79

121.79

7.39

64.47384

476.46

128.17

7.29

65.55783

477.92

134.34

7.19

66.64182

479.15

140.29

7.09

67.72581

480.18

146.02

6.99

68.8098

480.98

151.54

6.89

69.89379

481.57

156.84

6.79

70.97778

481.94

161.93

6.69

72.06177

482.09

166.79

6.59

73.14576

482.03

171.44

6.49

74.22975

481.75

175.88

6.39

75.31374

481.25

180.09

6.29

76.39773

480.54

184.09

6.19

77.48172

479.61

187.88

6.09

78.56571

478.47

191.44

5.99

79.6497

477.10

194.79

5.89

80.73369

475.52

197.93

5.79

81.81768

473.72

200.84

5.69

82.90167

471.71

203.54

5.59

83.98566

469.48

206.02

5.49

85.06965

467.03

208.29

5.39

86.15364

464.37

210.34

                        5.29

87.23763

                         461.49

                 212.17

                        5.19

88.32162

                         458.39

                 213.78

                        5.09

89.40561

                         455.07

                 215.18

                        4.99

90.4896

                         451.54

                 216.36

The maximum revenue at $6,69 ; Revenue=$482.09

Doing further analysis at this level:

6.79

70.97778

481.94

161.9264262

6.78

71.086179

481.9642936

162.4228936

6.77

71.194578

481.9872931

162.9171931

6.76

71.302977

482.0081245

163.4093245

6.75

71.411376

482.026788

163.899288

6.74

71.519775

482.0432835

164.3870835

6.73

71.628174

482.057611

164.872711

6.72

71.736573

482.0697706

165.3561706

6.71

71.844972

482.0797621

165.8374621

6.7

71.953371

482.0875857

166.3165857

6.69

72.06177

482.0932413

166.7935413

6.68

72.170169

482.0967289

167.2683289

6.67

72.278568

482.0980486

167.7409486

6.66

72.386967

482.0972002

168.2114002

6.65

72.495366

482.0941839

168.6796839

6.64

72.603765

482.0889996

169.1457996

6.63

72.712164

482.0816473

169.6097473

6.62

72.820563

482.0721271

170.0715271

6.61

72.928962

482.0604388

170.5311388

6.6

73.037361

482.0465826

170.9885826

6.59

73.14576

482.0305584

171.4438584

MAXIMUM MONTHLY REVENUE AT MONTHLY SUBSCRIPTION RATE OF $6.67.

MONTHLY REVENUE=$482.0980486 million

2. SESITIVITY:

At this region a 10% increase in subscription rate from 6,67 to7.34 will decrease the total revenue to $476 million ie decrease by more than 10%

3. If monthly subscription rate is increased by $1, the number of subscriber will be =(1-0.23)*47.13 million=0.77*47.13 million=36.2901 million

Total Monthly subscription=(8.99+1)*36.2901 million dollar=362.54 million dollar

Current Subscription =423.70 million dollar

THERE WILL BE REDUCTION OF SUBSCRIPTION BY(423.70-362.54)=61.16million dollar

There will be NET LOSS with this move and hence not advisable

A

B

C

(B-47.13)*A

Subscription

number of

Total subscription

Subscription From New Customer

Rate(Dollar)

customer(million)

Million dollar

million dollar

                        8.99

47.13

                         423.70

                        8.89

48.21399

                         428.62

                      9.64

                        8.79

49.29798

                         433.33

                    19.06

                        8.69

50.38197

                         437.82

                    28.26

                        8.59

51.46596

                         442.09

                    37.25

                        8.49

52.54995

                         446.15

                    46.02

                        8.39

53.63394

                         449.99

                    54.57

                        8.29

54.71793

                         453.61

                    62.90

                        8.19

55.80192

                         457.02

                    71.02

                        8.09

56.88591

                         460.21

                    78.93

                        7.99

57.9699

                         463.18

                    86.61

                        7.89

59.05389

                         465.94

                    94.08

                        7.79

60.13788

                         468.47

                 101.33

7.69

61.22187

470.80

108.37

7.59

62.30586

472.90

115.18

7.49

63.38985

474.79

121.79

7.39

64.47384

476.46

128.17

7.29

65.55783

477.92

134.34

7.19

66.64182

479.15

140.29

7.09

67.72581

480.18

146.02

6.99

68.8098

480.98

151.54

6.89

69.89379

481.57

156.84

6.79

70.97778

481.94

161.93

6.69

72.06177

482.09

166.79

6.59

73.14576

482.03

171.44

6.49

74.22975

481.75

175.88

6.39

75.31374

481.25

180.09

6.29

76.39773

480.54

184.09

6.19

77.48172

479.61

187.88

6.09

78.56571

478.47

191.44

5.99

79.6497

477.10

194.79

5.89

80.73369

475.52

197.93

5.79

81.81768

473.72

200.84

5.69

82.90167

471.71

203.54

5.59

83.98566

469.48

206.02

5.49

85.06965

467.03

208.29

5.39

86.15364

464.37

210.34

                        5.29

87.23763

                         461.49

                 212.17

                        5.19

88.32162

                         458.39

                 213.78

                        5.09

89.40561

                         455.07

                 215.18

                        4.99

90.4896

                         451.54

                 216.36

The maximum revenue at $6,69 ; Revenue=$482.09

Doing further analysis at this level:

6.79

70.97778

481.94

161.9264262

6.78

71.086179

481.9642936

162.4228936

6.77

71.194578

481.9872931

162.9171931

6.76

71.302977

482.0081245

163.4093245

6.75

71.411376

482.026788

163.899288

6.74

71.519775

482.0432835

164.3870835

6.73

71.628174

482.057611

164.872711

6.72

71.736573

482.0697706

165.3561706

6.71

71.844972

482.0797621

165.8374621

6.7

71.953371

482.0875857

166.3165857

6.69

72.06177

482.0932413

166.7935413

6.68

72.170169

482.0967289

167.2683289

6.67

72.278568

482.0980486

167.7409486

6.66

72.386967

482.0972002

168.2114002

6.65

72.495366

482.0941839

168.6796839

6.64

72.603765

482.0889996

169.1457996

6.63

72.712164

482.0816473

169.6097473

6.62

72.820563

482.0721271

170.0715271

6.61

72.928962

482.0604388

170.5311388

6.6

73.037361

482.0465826

170.9885826

6.59

73.14576

482.0305584

171.4438584