Your firm operates three plants. The cost functions vary across the three plants.
Plant A:
Marginal Cost = 6Q
Average Variable Cost = 3Q
Average Fixed Cost =1000/Q
Plant B:
Marginal Cost =10Q
Average Variable Cost = 5Q
Average Fixed Cost =600/Q
Plant C:
Marginal Cost =12Q
Average Variable Cost = 6Q
Average Fixed Cost = 4000/Q
You can sell your output at a constant price of $600.
a) How much output should be produced at each plant?
b) What is the average total cost of production at each plant?