You have an opportunity to invest in a new plant. The fixed costs are $100,000 per year. The marginal cost of production is $2 for quantity up to 10,000 units per year. The marginal cost of production is $4 for quantity between 10,001 and 30,000 units per year (an additional 20,000 units per year) and $10 for production above 30,000 per year. 1) what is the break even quantity or quantities if the market is competitive and the market price is $8 per unit? 2) If the market is competitive and the market price is $8 per unit, what production range would the plant operate? 3) What is the break even quantity if the fixed cost per year was $310,000, the market is competitive and the market price is $12 per unit?