# ECO 550 Mid Term Exam Assignments

Question 5

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 Adults 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 14 2 28 5 10 13 52 12 5 20 7 32 6 72 10 5 30 5 42 11 8 88 8 5 40 3 48 10 10 100 6 5 50 1 9 108 4 5 60 -1 48 14 112 2 5 70 -3 42 7 16 112 0 5 80 -5 6 108 -2 5 90 -7 18 20 100 -4 5 100 -9 0

Question 4

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 Adults 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 Quantity (i.e. 10, 27, 4)

 Price Quantity Total Revenue Marginal Revenue Marginal Cost Total   Cost MR-MC Profit 6 84 5 30 34 13 91 7 5 35 2 56 12 8 96 5 5 40 0 9 99 3 5 45 -2 54 10 100 1 5 50 -4 50 9 11 99 -1 5 55 -6 12 96 -3 5 60 -8 36 7 91 -5 5 65 -10 26 6 14 84 -7 5 70 -12 5 15 75 -9 5 75 -14 0

Question 6

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 Adults 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 14 8 112 5 40 72 11 143 10.33 5 55 5.33 88 12 168 8.33 5 70 3.33 98 11 17 187 6.33 5 85 1.33 20 200 4.33 5 100 -0.67 100 9 207 2.33 5 115 -2.67 92 8 26 208 0.33 5 130 -4.67 29 203 -1.67 5 145 -6.67 58 6 192 -3.67 5 160 -8.67 5 35 175 -7.67 5 190 -12.67 -38

Question 7

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

Make sure you include the profit with and without price discrimination  in your answer.

Question 8

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

### Question 9

Should Time Warner bundle or sell separately?  Your answer needs to include the unbundled and bundled profits.

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?

14

7

11

10

8

13

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