You are a monopolist with 2 production facilities. The production costs at the facilities are:
TC1= 10Q1 + Q1^2
TC2= 10Q2 + Q2^2
Demand for your product is P=100-Q
1) What total output (Q1 + Q2) will you produce to maximize profits?
2) Of the total output in part (1), how many units are produced at teh first facility (what is Q1)?
3) Of the total out put in part (1), how many units are produced at the second facility (what is Q2)?
4) What is the market price for your product?
5) What are your profits at the profit maximizing output level