Question

In a market the demand for a particular good is given by $P = 30 - \frac{Q}{2}$. There are only 2 providers of this good in the market and they are engaging in price competition. Firms have an identical cost function which is $C(q) = 5q$. First firm is capacity constrained by 20 units and the second one is by 10 units. Find the equilibrium price and the quantities.

Name: In a market the demand for a particular good is given by P = 30 - (Q)/(2). There are only 2 providers of this good in the market and they are engaging in price competition. Firms have an identical cost function which is C(q) = 5q. First firm is capacity constrained by 20 units and the second one is by 10 units. Find the equilibrium price and the quantities.
Uploaded: 2022-04-15T08:25:26-08:00
Duration: 4 min 31 s
Channel: Sanchit Jain
Description: In a market the demand for a particular good is given by P = 30 - (Q)/(2). There are only 2 providers of this good in the market and they are engaging in price competition. Firms have an identical cost function which is C(q) = 5q. First firm is capacity constrained by 20 units and the second one is by 10 units. Find the equilibrium price and the quantities.

          In a market the demand for a particular good is given by $P = 30 - \frac{Q}{2}$. There are only 2 providers of this good in the market and they are engaging in price competition. Firms have an identical cost function which is $C(q) = 5q$. First firm is capacity constrained by 20 units and the second one is by 10 units. Find the equilibrium price and the quantities.

In a market the demand for a particular good is given by P = 30 - (Q)/(2). There are only 2 providers of this good in the market and they are engaging in price competition. Firms have an identical cost function which is C(q) = 5q. First firm is capacity constrained by 20 units and the second one is by 10 units. Find the equilibrium price and the quantities.

Added by Sheryl D.

Principles of Economics

Gregory Mankiw 8th Edition

Instant Answer

Solved by Expert Sanchit Jain

04/15/2022

Step 1

To find the total market demand function, we need to sum up the individual demand functions of each firm. Since there are only two providers, the total market demand function is the sum of the demand functions of the two firms. The demand function for the first Show more…

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4) In a market the demand for a particular good is given by P = 30-Q/2 . There are only 2 providers of this good in the market and they are engaging in price competition. Firms have an identical cost function which is C(q)= 5q . First firm is capacity constrained by 20 units and the second one is by 10 units. Find the equilibrium price and the quantities.