# Managerial economics

shiley4

Question 1

Suppose the number of firms you compete with has recently increased. You estimated that as a result of the increased competition, the demand elasticity has increased from 2 to 3, i.e., you face more elastic demand. You are currently charging \$10 for your product. If demand elasticity is -3, you should charge [x].

Question 2

An amusement park, whose customer set is made up of two markets, adults and children, has developed demand schedules as follows:

The marginal operating cost of each unit of quantity is \$5. Because marginal cost is a constant, so is average variable cost.  Ignore fixed costs. The owners of the amusement part want to maximize profits.

Price (\$)

Quantity

Children

5

15

20

6

14

18

7

13

16

8

12

14

9

11

12

10

10

10

11

9

8

12

8

6

13

7

4

14

6

2

Calculate the price, quantity, and profit if: The amusement park charges a different price in the adult market

Please use whole numbers for Quanitity (i.e. 10, 27, 4)

Price

Quantity

Total Revenue

Marginal Revenue

Marginal Cost

Total Cost

MR-MC

Profit

84

5.00

30.00

54.00

91

7.00

5.00

35.00

2.00

96

5.00

5.00

40.00

0.00

99

3.00

5.00

45.00

-2.00

100

1.00

5.00

50.00

-4.00

99

-1.00

5.00

55.00

-6.00

96

-3.00

5.00

60.00

-8.00

91

-5.00

5.00

65.00

-10.00

84

-7.00

5.00

70.00

-12.00

75

-9.00

5.00

75.00

-14.00

Question 3

An amusement park, whose customer set is made up of two markets, adults and children, has developed demand schedules as follows:

The marginal operating cost of each unit of quantity is \$5. Because marginal cost is a constant, so is average variable cost.  Ignore fixed costs. The owners of the amusement part want to maximize profits.

Price (\$)

Quantity

Children

5

15

20

6

14

18

7

13

16

8

12

14

9

11

12

10

10

10

11

9

8

12

8

6

13

7

4

14

6

2

Calculate the price, quantity, and profit if: The amusement park charges a different price in the child's market

Please use whole numbers for Quanitity (i.e. 10, 27, 4)

Price

Quantity

Total Revenue

Marginal Revenue

Marginal Cost

Total Cost

MR-MC

Profit

52

5.00

20.00

72

10.00

5.00

30.00

5.00

88

8.00

5.00

40.00

3.00

100

6.00

5.00

50.00

1.00

108

4.00

5.00

60.00

-1.00

112

2.00

5.00

70.00

-3.00

112

0.00

5.00

80.00

-5.00

108

-2.00

5.00

90.00

-7.00

100

-4.00

5.00

100.00

-9.00

88

-6.00

5.00

110.00

-11.00

Question 4

The marginal operating cost of each unit of quantity is \$5. Because marginal cost is a constant, so is average variable cost.  Ignore fixed costs. The owners of the amusement part want to maximize profits.

Price (\$)

Quantity

Children

5

15

20

6

14

18

7

13

16

8

12

14

9

11

12

10

10

10

11

9

8

12

8

6

13

7

4

14

6

2

Calculate the price, quantity, and profit if: The amusement park charges the same price in the two markets combined

Please use whole numbers for Quanitity (i.e. 10, 27, 4)

Price

Quantity

Total Revenue

Marginal Revenue

Marginal Cost

Total Cost

MR-MC

Profit

143

30.00

55.00

168

8.33

5.00

70.00

3.33

187

6.33

5.00

85.00

1.33

200

4.33

5.00

100.00

-0.67

207

2.33

5.00

115.00

-2.67

208

0.33

5.00

130.00

-4.67

203

-1.67

5.00

145.00

-6.67

192

-3.67

5.00

160.00

-8.67

175

-5.67

5.00

175.00

-10.67

152

-7.67

5.00

190.00

-12.67

Question 5

Explain the difference in the profit realized under the two situations (the price in each market or in the two markets combined.)

Question 6

Time Warner could offer the History Channel (H) and Showtime (S) individually or as a bundle of both.

Suppose the reservation prices of customers 1 and 2 (the highest prices they are willing to pay) are presented in the boxes below.

The cost to Time Warner is \$1 per customer for licensing fees.

Preferences

Showtime

History Chanel

Customer 1

9

2

Customer 2

3

8

Should Time Warner bundle or sell separately?

Question 7

Time Warner could offer the History Channel (H) and Showtime (S) individually or as a bundle of both.

Suppose the reservation prices of customers 1 and 2 (the highest prices they are willing to pay) are presented in the boxes below.

The cost to Time Warner is \$1 per customer for licensing fees.

Preferences

Showtime

History Chanel

Customer 1

9

2

Customer 2

3

8

Should Time Warner bundle if everyone likes Showtime more than the History Channel, i.e., preferences are positively correlated?

Question 8

Suppose Time Warner could sell Showtime for \$9, and History channel for \$8, while making Showtime-History bundle available for \$13. Should it use mixed bundling. i.e., sells products both separately and as a bundle?

• 3 years ago
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