Question

Suppose an industry has 100 firms, each with a supply curve P = 50 + 10Q . Furthermore, suppose the market demand curve is given by P = 200 - 0.9Q . a. What is the industry supply curve? b. What is the equilibrium price and quantity for this market? c. How many units of output will be produced by a firm operating in this market with a marginal cost function, MC = 130Q

Answer 1

Answer: See explanation

Explanation:

The industry supply curve will be the supply curve given multiplied by the total number of firms. This will be:

P = 50 + 0.1Q

Check: since Q = 100

P = 50 + 10/100Q

P = 50 + 0.1Q

To get the Equilibrium price and quantity, we've to equate the market demand curve and supply. This will be:

Market demand = P = 200 - 0.9Q

Market Supply = P = 50 + 0.1Q

Therefore,

200 - 0.9Q = 50 + 0.1Q

200 - 50 = 0.1Q + 0.9Q

150 = Q

Equilibrium quantity = 150 units

Since P = 50 + 0.1Q

P = 50 + 0.1(150)

P = 50 + 15

P = 65

Equilibrium price is 65.

The units of output that will be produced by a firm operating in this market with a marginal cost function, MC = 130Q will be 2.