A Monopolistwill construct a single plant to serve twospecially separated markets in which she can charge different prices without fear of competition or resale between markets. The monopolist locates her plant at market 2. The monopolist's demand and production cost functions are as follows:

P₁=200-4q₁Market demand in market 1

P₂=240-6q₂Market demand in market 2

TC= 160(q₁+q₂)-2(q₁+q₂)² Cost function

Determine the optimal values for q₁,q₂,p₁,p₂