Determine the profit maximising price and quantity


Assignment:

Question 1

The government is planning to build a bridge which connnects the North and South of the country. The cost of building the bridge is $2,000,000. The marginal cost of building the bridge is zero. The government must decide if it will build the bridge or contract the sole construction company in the country to build the bridge. If the company builds the bridge, it will recover its costs and possibly earn a profit from charging residents to use the bridge. The demand schedule is shown in the table below:

Price              Quantity 

$8                        0

7                      100

6                      200

5                      300

4                      400

3                      500

2                      600

1                      700

0                      800

(a) Determine the profit maximising price and quantity and (ii) socially efficient price and quantity.

(b) If the company is offered the contract, should it build the bridge? Why or why not?

(c) If the government were to build the bridge, what economic rule should it adopt in

order to be efficient? What price should it charge residents?

(d) Should the government build the bridge? Why or why not?

Ques.2. The following presents the costs and revenues for a firm.

Quantity

Total Cost

Total Revenue

0

$ 8

$ 0

1

   9

   8

2

 10

 16

3

 11

 24

4

 13

 32

5

 20

 40

6

 28

 48

7

 38

 56

(a) Calculate the marginal cost, marginal revenue and profit for each level of production.

(b) How many units should the firm produce to maximize profit?

(c) Plot the marginal revenue and marginal cost curves.

(d) Is the industry the firm operates in competitive? Is the industry in long-run equilibrium?

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Microeconomics: Determine the profit maximising price and quantity
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