2 companies produce the same item. The companies each determine their own output and the combined output of the two is sold at the market price. Company A has controls its costs better than its competitor, B. The demand curve is P=280-2(Q1+Q2) and the cost function is C1(Q1)=3Q1 and C2(Q2)=2Q2
Find out the followings
1) Marginal revenue for both,
2) Reaction function for both,
3) Equilibrium output,
4) Equilibrium profits.
It is given that Company A has better control over costs,
So, cost function for company A=C2(Q2)=2Q2
cost function for company B=C1(Q1)=3Q2
1) figuring out the marginal revenue for both,
Total Revenue=Price*Output of company=P*Q1
To get Marginal Revenue differentiate TR1 w.r.to Q1,
Total Revenue=Price*Output of company=P*Q2
To get Marginal Revenue differentiate TR2 w.r.to ...
The solution depicts the steps to find reaction functions, equilibrium output and equilibrium profits in a oloigopoly model.