1. A firm can produce at most x = 2500 units per month, and their marginal cost function has been computed to be MC=1200+x , while the cost of producing and selling 30 units is $70,000. If their marginal revenue function has been computed to be MR=3500 , then find:
2. The number of units of production resulting in maximum monthly profit
3. The maximum monthly profit
4. Associated fixed costs
5. How many units does the firm need to manufacture and sell in order to break even?